Equilibrium of forces — Paper 1 · A Level Physics 9702

12 Which two vector diagrams represent forces in equilibrium? P Q R S A P and Q B Q and R C R and S D S and P

1 marks

Answer: C

This question in 9702/11 Oct/Nov 2004

12 A uniform beam of weight 100 N is pivoted at P as shown. Weights of 10 N and 20 N are attached to its ends. The length of the beam is marked off at 0.1 m intervals. At which point should a further weight of 20 N be attached to achieve equilibrium? 0.6 m 0.4 m 0.1 m A B C D P 10 N 20 N

1 marks

Answer: D

This question in 9702/11 Oct/Nov 2005

13 The diagram shows four forces applied to a circular object. 45 N 30 N 30 N 45 N Which of the following describes the resultant force and resultant torque on the object? resultant force resultant torque A non-zero non-zero B non-zero zero C zero non-zero D zero zero

1 marks

Answer: A

This question in 9702/11 Oct/Nov 2005

13 The diagrams show three forces acting on a body. In which diagram is the body in equilibrium? A B C D

1 marks

Answer: D

This question in 9702/11 May/June 2006

15 Three coplanar forces, each of magnitude 10 N, act through the same point of a body in the directions shown. 10 N 10 N 30o 30o 10 N What is the magnitude of the resultant force? A 0 N B 1.3 N C 7.3 N D 10 N

1 marks

Answer: C

This question in 9702/11 Oct/Nov 2006

20 A simple crane consists of a rigid vertical pillar supporting a horizontal beam. Y Z W X A weight W is lifted by a rope at the end of the beam. What are the forces at points X, Y and Z due to the weight W? force at X force at Y force at Z A tension compression tension B tension tension compression C compression tension compression D compression compression compression

1 marks

Answer: B

This question in 9702/11 May/June 2007

12 A ball is falling at terminal speed in still air. The forces acting on the ball are upthrust, viscous drag and weight. What is the order of increasing magnitude of these three forces? A upthrust → viscous drag → weight B viscous drag → upthrust → weight C viscous drag → weight → upthrust D weight → upthrust → viscous drag

1 marks

Answer: A

This question in 9702/11 May/June 2008

13 Two rigid rods, XZ and YZ, are fixed to a vertical wall at points X and Y. A load of weight W is hung from point Z. The load is not moving. Z X W load Y Which diagram shows the forces acting at point Z? A B force in XZ force in XZ W W force in YZ force in YZ C D force in XZ force in XZ W W force in YZ force in YZ

1 marks

Answer: A

This question in 9702/11 May/June 2008

12 A wooden block rests on a rough board. The end of the board is then raised until the block slides down the plane of the board at constant velocity v. block v board Which row describes the forces acting on the block when sliding with constant velocity? frictional force on block resultant force on block A down the plane down the plane B down the plane zero C up the plane down the plane D up the plane zero

1 marks

Answer: D

This question in 9702/11 Oct/Nov 2008

12 An object, made from two equal masses joined by a light rod, falls with uniform speed through air. The rod remains horizontal. Which statement about the equilibrium of the system is correct? A It is not in equilibrium because it is falling steadily. B It is not in equilibrium because it is in motion. C It is not in equilibrium because there is a resultant torque. D It is in equilibrium because there is no resultant force and no resultant torque.

1 marks

Answer: D

This question in 9702/11 May/June 2009

12 The diagrams show two ways of hanging the same picture. nail R2 nail R1 T2 T2 T1 T1 diagram 1 diagram 2 In both cases, a string is attached to the same points on the picture and looped symmetrically over a nail in a wall. The forces shown are those that act on the nail. In diagram 1, the string loop is shorter than in diagram 2. Which information about the magnitude of the forces is correct? A R1 = R2 T1 = T2 B R1 = R2 T1 > T2 C R1 > R2 T1 < T2 D R1 < R2 T1 = T2 Space for working

1 marks

Answer: B

This question in 9702/11 Oct/Nov 2009

11 The diagrams show two ways of hanging the same picture. nail R2 nail R1 T2 T2 T1 T1 diagram 1 diagram 2 In both cases, a string is attached to the same points on the picture and looped symmetrically over a nail in a wall. The forces shown are those that act on the nail. In diagram 1, the string loop is shorter than in diagram 2. Which information about the magnitude of the forces is correct? A R1 = R2 T1 = T2 B R1 = R2 T1 > T2 C R1 > R2 T1 < T2 D R1 < R2 T1 = T2 Space for working

1 marks

Answer: B

This question in 9702/12 Oct/Nov 2009

27 The diagram shows two parallel horizontal metal plates held at a potential difference V. +V A small charged liquid drop, midway between the plates, is held in equilibrium by the combination of its weight and the electric force acting on it. The acceleration of free fall is g and the electric field strength is E. What is the ratio of the charge to mass of the drop, and the polarity of the charge on the drop? charge polarity mass g A positive E g B negative E E C positive g E D negative g Space for working

1 marks

Answer: B

This question in 9702/12 Oct/Nov 2009

13 Forces of 3 N, 4 N and 5 N act at one point on an object. The angles at which the forces act can vary. What is the value of the minimum resultant force of these forces? A 0 B between 0 and 2 N C 2 N D between 2 N and 4 N Space for working

1 marks

Answer: A

This question in 9702/11 May/June 2010

11 Forces of 3 N, 4 N and 5 N act at one point on an object. The angles at which the forces act can vary. What is the value of the minimum resultant force of these forces? A 0 B between 0 and 2 N C 2 N D between 2 N and 4 N Space for working

1 marks

Answer: A

This question in 9702/13 May/June 2010

11 The diagram shows a rope bridge that a student makes on an adventure training course. The student has a weight W. θ θ Which formula gives the tension T in the rope? A W B W C W D W T = T = T = T = 2 cos θ 2 sin θ cos θ sin θ

1 marks

Answer: B

This question in 9702/12 Oct/Nov 2010

13 A street lamp is fixed to a wall by a metal rod and a cable. cable wall P metal rod lamp Which vector triangle represents the forces acting at point P? A B C D Space for working

1 marks

Answer: D

This question in 9702/13 Oct/Nov 2010

11 A cable car of weight W hangs in equilibrium from its cable at point P. The cable has tensions T1 and T2 as shown. T1 cable P T2 weight W cable car Which diagram correctly represents the forces acting at point P? A B C D T2 T2 T2 T2 W T1 W T1 W T1 W T1 Space for working

1 marks

Answer: B

This question in 9702/11 May/June 2011

16 A uniform rod XY of weight 10.0 N is freely hinged to a wall at X. It is held horizontal by a force F acting from Y at an angle of 30° to the horizontal, as shown. F wall 60° 30° X Y 10.0 N What is the value of F ? A 5.0 N B 8.7 N C 10.0 N D 20.0 N Space for working

1 marks

Answer: C

This question in 9702/12 May/June 2011

17 The diagram shows two fixed pins, Y and Z. A length of elastic is stretched between Y and Z and around pin X, which is attached to a trolley. Y 50 mm X 80 mm P trolley 30 mm Z X is at the centre of the elastic and the trolley is to be propelled in the direction P at right angles to YZ. The tension in the elastic is 4 N. What is the force accelerating the trolley in the direction P when the trolley is released? A 2.4 N B 3.2 N C 4.8 N D 6.4 N

1 marks

Answer: C

This question in 9702/12 May/June 2011

11 The diagram shows four forces applied to a circular object. 30 N 20 N 20 N 30 N Which row describes the resultant force and resultant torque on the object? resultant force resultant torque A zero zero B zero non-zero C non-zero zero D non-zero non-zero Space for working

1 marks

Answer: D

This question in 9702/13 May/June 2011

13 A cable car of weight W hangs in equilibrium from its cable at point P. The cable has tensions T1 and T2 as shown. T1 cable P T2 weight W cable car Which diagram correctly represents the forces acting at point P? A B C D T2 T2 T2 T2 W T1 W T1 W T1 W T1 Space for working

1 marks

Answer: B

This question in 9702/13 May/June 2011

13 A ladder rests in equilibrium on rough ground against a rough wall. P rough G wall Q rough ground Its weight W acts through the centre of gravity G. Forces also act on the ladder at P and at Q. These forces are P and Q respectively. Which vector triangle represents the forces on the ladder? A B C D P P P P W W Q Q W Q W Q Space for working

1 marks

Answer: A

This question in 9702/11 Oct/Nov 2011

14 A trailer of weight 30 kN is hitched to a cab at X, as shown in the diagram. cab trailer X 30 kN 10 m 10 m What is the upward force exerted by the cab on the trailer at X? A 3 kN B 15 kN C 30 kN D 60 kN

1 marks

Answer: B

This question in 9702/12 Oct/Nov 2011

14 A ladder rests in equilibrium on rough ground against a rough wall. P rough G wall Q rough ground Its weight W acts through the centre of gravity G. Forces also act on the ladder at P and at Q. These forces are P and Q respectively. Which vector triangle represents the forces on the ladder? A B C D P P P P W W Q Q W Q W Q Space for working

1 marks

Answer: A

This question in 9702/13 Oct/Nov 2011

14 A ladder is positioned on icy (frictionless) ground and is leant against a rough wall. At the instant of release it begins to slide. Which diagram correctly shows the directions of the forces P, W and R acting on the ladder as it begins to slide? A B P P ladder ladder wall wall R R W W ground ground C D P P ladder ladder wall wall R R W W ground ground Space for working

1 marks

Answer: B

This question in 9702/12 May/June 2012

15 The diagram shows an experiment to measure the force exerted on a ball by a horizontal air flow. 30° air flow The ball is suspended by a light string and weighs 0.15 N. The deflection of the string from vertical is 30°. What is the force on the ball from the air flow? A 0.075 N B 0.087 N C 0.26 N D 0.30 N

1 marks

Answer: B

This question in 9702/11 Oct/Nov 2012

17 A sledge slides down a slope at a constant velocity. The three forces that act on the sledge are the normal contact force C, the weight W and a constant frictional force F. Which diagram represents these forces acting on the sledge? A B C D F F C C W W W W C C F F

1 marks

Answer: C

This question in 9702/11 Oct/Nov 2012

16 A stationary body floats in water. body Which statement about the forces acting on the body is correct? A The gravitational force is equal to the viscous force. B The gravitational force is greater than the upthrust. C The upthrust is zero. D The viscous force is zero. Space for working

1 marks

Answer: D

This question in 9702/12 Oct/Nov 2012

18 A picture on a wall is supported by a wire looped over a nail. nail 25° 25° The mass of the picture is 4.2 kg. What is the tension in the supporting wire? A 5.0 N B 23 N C 49 N D 97 N

1 marks

Answer: C

This question in 9702/12 Oct/Nov 2012

15 A hailstone, initially stationary at the base of a cloud, falls vertically towards the Earth. The diagram shows the magnitudes and directions of the forces acting on the hailstone as it starts to drop. gravitational upthrust U viscous force W force V Which diagram shows the magnitudes and directions of these forces when the hailstone attains a terminal (constant) speed in the air (of uniform density)? A B W U V W U V C D W U V W U V Space for working

1 marks

Answer: D

This question in 9702/13 Oct/Nov 2012

16 Four beams of the same length each have three forces acting on them. Which beam has both zero resultant force and zero resultant torque acting? A B 30 N 50 N 36 N 70 N 50 cm 30 cm 50 cm 30 cm 90 N 106 N C D 28 N 35 N 42 N 70 N 50 cm 30 cm 50 cm 30 cm 63 N 112 N Space for working

1 marks

Answer: D

This question in 9702/13 Oct/Nov 2012

17 The diagrams show the forces acting on different bodies. Which body cannot be in equilibrium? A B C D

1 marks

Answer: A

This question in 9702/13 Oct/Nov 2012

13 A small water droplet of mass 3.0 µg carries a charge of –6.0 × 10–11 C. The droplet is situated in the Earth’s gravitational field between two horizontal metal plates. The potential of the upper plate is +500 V and the potential of the lower plate is –500 V. +500 V water droplet – 2.0 mm with negative charge –500 V What is the motion of the droplet? A It accelerates downwards. B It remains stationary. C It accelerates upwards. D It moves upwards at a constant velocity.

1 marks

Answer: C

This question in 9702/11 May/June 2013

16 A hinged trapdoor is held closed in the horizontal position by a cable. Three forces act on the trapdoor: the weight W of the door, the tension T in the cable and the force H at the hinge. cable wall T trapdoor hinge H W Which list gives the three forces in increasing order of magnitude? A H,T,W B T,H,W C W,H,T D W,T,H Space for working

1 marks

Answer: C

This question in 9702/11 May/June 2013

12 A vehicle is at rest on a slope. It is considered to have three forces acting on it to keep it in equilibrium. They are its weight W, a normal reaction force R and a frictional force F. Which triangle of forces is correct? A B C D F F R R W W W W R R F F

1 marks

Answer: A

This question in 9702/12 May/June 2013

13 A wooden block rests on a rough board. The end of the board is then raised until the block slides down the plane of the board at constant velocity v. block v board Which row describes the forces acting on the block when sliding with constant velocity? frictional force on block resultant force on block A down the plane down the plane B down the plane zero C up the plane down the plane D up the plane zero

1 marks

Answer: D

This question in 9702/13 May/June 2013

2 A pendulum bob is held stationary by a horizontal force H. The three forces acting on the bob are shown in the diagram. 30° T H W The tension in the string of the pendulum is T. The weight of the pendulum bob is W. Which statement is correct? A H = T cos 30° B T = H sin 30° C W = T cos 30° D W = T sin 30° Space for working

1 marks

Answer: C

This question in 9702/11 Oct/Nov 2013

2 A pendulum bob is held stationary by a horizontal force H. The three forces acting on the bob are shown in the diagram. 30° T H W The tension in the string of the pendulum is T. The weight of the pendulum bob is W. Which statement is correct? A H = T cos 30° B T = H sin 30° C W = T cos 30° D W = T sin 30° Space for working

1 marks

Answer: C

This question in 9702/12 Oct/Nov 2013

3 Two forces of equal magnitude are represented by two coplanar vectors. One is directed eastwards and the other is directed northwards. What is the direction of a single force that will balance these two forces? A towards the north-east B towards the north-west C towards the south-east D towards the south-west Space for working

1 marks

Answer: D

This question in 9702/13 Oct/Nov 2013

14 A cupboard is attached to a wall by a screw. Which force diagram shows the cupboard in equilibrium, with the weight W of the cupboard, the force S that the screw exerts on the cupboard and the force R that the wall exerts on the cupboard? A B S S R R W W line of wall line of wall C D S S R W W R line of wall line of wall Space for working

1 marks

Answer: B

This question in 9702/13 Oct/Nov 2013

11 The diagrams show two ways of hanging the same picture. nail R2 nail R1 T2 T2 T1 T1 diagram 1 diagram 2 In both cases, a string is attached to the same points on the picture and looped symmetrically over a nail in a wall. The forces shown are those that act on the nail. In diagram 1, the string loop is shorter than in diagram 2. Which information about the magnitude of the forces is correct? A R1 = R2 T1 = T2 B R1 = R2 T1 > T2 C R1 > R2 T1 < T2 D R1 < R2 T1 = T2 Space for working

1 marks

Answer: B

This question in 9702/11 May/June 2014

10 A tractor of mass 1000 kg is connected by a tow-bar to a trailer of mass 1000 kg. The total resistance to motion has a constant value of 4000 N. One quarter of this resistance acts on the trailer. When the tractor and trailer are moving along horizontal ground at a constant speed of 6 m s–1, what is the force exerted on the tractor by the tow-bar? A 0 N B 1000 N C 3000 N D 4000 N Space for working

1 marks

Answer: B

This question in 9702/12 May/June 2014

12 A tiny oil droplet with mass 6.9 × 10–13 kg is at rest in an electric field of electric field strength 2.1 × 107 N C–1, as shown. horizontal plate oil droplet The weight of the droplet is exactly balanced by the electrical force on the droplet. What is the charge on the droplet? A 3.3 × 10–20 C B –3.3 × 10–20 C C 3.2 × 10–19 C D –3.2 × 10–19 C Space for working

1 marks

Answer: D

This question in 9702/12 May/June 2014

13 The diagram shows four forces applied to a circular object. 45 N 30 N 30 N 45 N Which of the following describes the resultant force and resultant torque on the object? resultant force resultant torque A non-zero non-zero B non-zero zero C zero non-zero D zero zero Space for working

1 marks

Answer: A

This question in 9702/12 May/June 2014

13 What is the condition for an object to be in equilibrium? A The object’s velocity and the resultant torque on it must both be zero. B The object’s velocity must be zero. C The resultant force and the resultant torque on the object must both be zero. D The resultant force on the object must be zero.

1 marks

Answer: C

This question in 9702/13 May/June 2014

10 A glider is descending at constant speed at an angle of 15° to the horizontal. The diagram shows the directions of the lift L, air resistance R and weight W acting on the glider. L R 15° W Which vector triangle could represent the forces acting on the glider? A B C D Space for working

1 marks

Answer: D

This question in 9702/11 Oct/Nov 2014

11 A ball is falling at terminal speed in still air. The forces acting on the ball are upthrust, viscous drag and weight. What is the order of increasing magnitude of these three forces? A upthrust → viscous drag → weight B viscous drag → upthrust → weight C viscous drag → weight → upthrust D weight → upthrust → viscous drag Space for working

1 marks

Answer: A

This question in 9702/11 Oct/Nov 2014

10 A glider is descending at constant speed at an angle of 15° to the horizontal. The diagram shows the directions of the lift L, air resistance R and weight W acting on the glider. L R 15° W Which vector triangle could represent the forces acting on the glider? A B C D Space for working

1 marks

Answer: D

This question in 9702/12 Oct/Nov 2014

11 A ball is falling at terminal speed in still air. The forces acting on the ball are upthrust, viscous drag and weight. What is the order of increasing magnitude of these three forces? A upthrust → viscous drag → weight B viscous drag → upthrust → weight C viscous drag → weight → upthrust D weight → upthrust → viscous drag Space for working

1 marks

Answer: A

This question in 9702/12 Oct/Nov 2014

28 The diagram shows two parallel horizontal metal plates. There is a potential difference V between the plates. +V liquid drop A small charged liquid drop, midway between the plates, is held in equilibrium by the combination of its weight and the electric force acting on it. The acceleration of free fall is g and the electric field strength is E. What is the polarity of the charge on the drop, and the ratio of charge to mass of the drop? charge polarity mass E A negative g g B negative E E C positive g g D positive E Space for working

1 marks

Answer: B

This question in 9702/12 Oct/Nov 2014

13 A cylinder of weight W is placed on a smooth slope. The contact force of the slope on the cylinder is R. A thread is attached to the surface of the cylinder. The other end of the thread is fixed. Which diagram shows the cylinder in equilibrium? A B thread thread fixed fixed point point R R smooth smooth slope slope W W C D thread fixed point R thread R fixed point smooth smooth slope slope W W Space for working

1 marks

Answer: C

This question in 9702/13 Oct/Nov 2014

12 A child on a sledge slides down a hill with acceleration a. The hill makes an angle θ with the horizontal. F a θ The total mass of the child and the sledge is m. The acceleration of free fall is g. What is the friction force F ? A m(g cosθ – a) B m(g cosθ + a) C m(g sinθ – a) D m(g sinθ + a)

1 marks

Answer: C

This question in 9702/11 May/June 2015

32 An oil droplet has charge –q and is situated between two horizontal metal plates as shown in the diagram. +V d –q –V The separation of the plates is d. The droplet is observed to be stationary when the upper plate is at potential +V and the lower plate is at potential –V. For this to occur, what is the weight of the droplet? Vq 2 Vq Vd 2 Vd A B C D d d q q

1 marks

Answer: B

This question in 9702/11 May/June 2015

14 A ladder is positioned on icy (frictionless) ground and is leant against a rough wall. At the instant of release it begins to slide. Which diagram correctly shows the directions of the forces P, W and R acting on the ladder as it slides? A B P P ladder ladder wall wall R R W W ground ground C D P P ladder ladder wall wall R R W W ground ground

1 marks

Answer: B

This question in 9702/12 May/June 2015

16 The diagrams represent systems of coplanar forces acting at a point. The lengths of the force vectors represent the magnitudes of the forces. Which system of forces is in equilibrium? A B C D

1 marks

Answer: A

This question in 9702/13 May/June 2015

13 In which example is it not possible for the underlined body to be in equilibrium? A an aeroplane climbs at a steady rate B an aeroplane tows a glider at a constant altitude C a speedboat changes direction at a constant speed D two tug boats tow a ship into harbour

1 marks

Answer: C

This question in 9702/11 Oct/Nov 2015

2 A crane has an arm to which is attached a frictionless pulley. A cable passes over the pulley and supports a load of 10 kN as shown. F frictionless pulley 10 kN 30° 30° crane arm load 10 kN The crane arm exerts a force F on the pulley. What is the value of F ? A 5.0 kN B 8.7 kN C 10 kN D 17 kN

1 marks

Answer: D

This question in 9702/12 Feb/March 2016

12 The diagram shows a uniform beam PQ. The length of the beam is 3.0 m and its weight is 50 N. The beam is supported on a pivot 1.0 m from end P. A load of weight W is hung from end P and the beam is in equilibrium. 3.0 m 1.0 m P Q W pivot What is the value of W ? A 25 N B 50 N C 75 N D 100 N

1 marks

Answer: A

This question in 9702/12 Feb/March 2016

12 Forces are applied to a rigid body. The forces all act in the same plane. In which diagram is the body in equilibrium? A B C D F F F F 1 F 1 F 1 F 1 F 2 2 2 2 1 F 1 F 2 2 F F F F

1 marks

Answer: A

This question in 9702/11 May/June 2016

14 A trailer of weight 30 kN is attached to a cab at X, as shown in the diagram. cab trailer X 30 kN 10 m 10 m What is the upward force exerted at X by the cab on the trailer? A 3 kN B 15 kN C 30 kN D 60 kN

1 marks

Answer: B

This question in 9702/11 May/June 2016

12 A light rigid rod XY has an object of weight W fixed at one end. The rod is in equilibrium, resting on a roller at Z and a vertical wall at X. The roller exerts a force R on the rod as shown. The diagram shows the directions, but not the magnitudes, of the forces R and W. wall Y W R Z X What is the direction of the force on the rod at X? A B C D

1 marks

Answer: D

This question in 9702/12 May/June 2016

12 Three coplanar forces act on an object in the directions shown. In which diagram could the object be in equilibrium? A B C D

1 marks

Answer: C

This question in 9702/13 May/June 2016

15 Four beams of the same length each have three forces acting on them. Which beam has both zero resultant force and zero resultant torque acting? A B 30 N 50 N 36 N 70 N 50 cm 30 cm 50 cm 30 cm 90 N 106 N C D 28 N 35 N 42 N 70 N 50 cm 30 cm 50 cm 30 cm 63 N 112 N

1 marks

Answer: D

This question in 9702/11 Oct/Nov 2016

16 An air-conditioning unit is supported by a rigid beam PQ, as shown. air-conditioning unit P wall beam Q Which diagram shows the directions of the horizontal and vertical forces acting on the ends of the beam? A B C D

1 marks

Answer: B

This question in 9702/11 Oct/Nov 2016

15 Four beams of the same length each have three forces acting on them. Which beam has both zero resultant force and zero resultant torque acting? A B 30 N 50 N 36 N 70 N 50 cm 30 cm 50 cm 30 cm 90 N 106 N C D 28 N 35 N 42 N 70 N 50 cm 30 cm 50 cm 30 cm 63 N 112 N

1 marks

Answer: D

This question in 9702/13 Oct/Nov 2016

16 An air-conditioning unit is supported by a rigid beam PQ, as shown. air-conditioning unit P wall beam Q Which diagram shows the directions of the horizontal and vertical forces acting on the ends of the beam? A B C D

1 marks

Answer: B

This question in 9702/13 Oct/Nov 2016

3 A pendulum bob is held stationary by a horizontal force H. The three forces acting on the bob are shown in the diagram. 30° T H W The tension in the string of the pendulum is T. The weight of the pendulum bob is W. The string is held at an angle of 30° to the vertical. Which statement is correct? A H = T cos 30 B T = H sin 30 C W = T sin 30 D W = T cos 30

1 marks

Answer: D

This question in 9702/12 Feb/March 2017

11 A spherical object falls through water at constant speed. Three forces act on the object. Which diagram, showing these three forces to scale, is correct? A B C D

1 marks

Answer: B

This question in 9702/12 Feb/March 2017

13 The vertical forces that the ground exerts on a stationary van are shown. 16 000 N 9000 N 0.600 m 1.500 m 0.400 m The van is 2.50 m long with the wheels at a distance of 0.600 m from the front of the van and 0.400 m from the rear of the van. What is the horizontal distance of the van’s centre of gravity from the front of the van? A 0.540 m B 0.960 m C 1.14 m D 1.36 m

1 marks

Answer: C

This question in 9702/12 Feb/March 2017

14 An object hangs by means of two cords around two rods, as shown. rod rod θ F1 F2 object The object is held in equilibrium by the forces F1 and F2. The object weighs 10 N. There is negligible friction between the rods and cords. Angle θ is 90°. Which row of the table gives an angle θ of 90°? F1 / N F2 / N A 4.0 6.0 B 6.0 4.0 C 6.0 8.0 D 8.0 6.0

1 marks

Answer: C

This question in 9702/12 Feb/March 2017

12 A sphere is acted upon by various forces, all of the same magnitude. Which system of forces provides a resultant torque but zero resultant force on the sphere? A B C D

1 marks

Answer: D

This question in 9702/11 May/June 2017

13 A uniform horizontal footbridge is 12 m long and weighs 4000 N. It rests on two supports X and Y as shown. 12 m 4 m support support X Y A man of weight 600 N is a distance of 4 m from support X. What is the upward force on the footbridge from support X? A 2200 N B 2300 N C 2400 N D 2600 N

1 marks

Answer: C

This question in 9702/11 May/June 2017

31 The diagram shows two parallel horizontal metal plates. The top plate is positively charged and the bottom plate is earthed. + liquid drop plates A small charged liquid drop, midway between the plates, is held in equilibrium by the combination of its weight and the electric force acting on it. The acceleration of free fall is g and the electric field strength is E. What is the polarity of the charge on the drop, and the ratio of charge to mass of the drop? charge polarity mass E A negative g g B negative E E C positive g g D positive E

1 marks

Answer: B

This question in 9702/11 May/June 2017

12 A uniform beam is pivoted at P as shown. Weights of 10 N and 20 N are attached to its ends. The length of the beam is marked at 0.1 m intervals. The weight of the beam is 100 N. At which point should a further weight of 20 N be attached to achieve equilibrium? 0.6 m 0.4 m 0.1 m A B C D P 10 N 20 N pressure ?

1 marks

Answer: D

This question in 9702/12 May/June 2017

12 An air bubble is rising through a liquid at a constant speed. The forces on it are the upthrust U, the viscous drag D and its weight W. Which diagram shows the directions and relative sizes of the forces? A B C D U U U U D W W D D W D W

1 marks

Answer: A

This question in 9702/13 May/June 2017

8 The three forces acting on a hot-air balloon that is moving vertically are its weight, the force due to air resistance and the upthrust force. The hot-air balloon descends vertically at constant speed. The force of air resistance on the balloon is F. Which weight of material must be released from the balloon so that it ascends vertically at the same constant speed? A F B 2F C 3F D 4F

1 marks

Answer: B

This question in 9702/11 Oct/Nov 2017

31 A small charged sphere of mass 0.80 g hangs from a light thread inside a vertical uniform electric field of strength 2000 V m–1. The thread passes over two frictionless pulleys and a mass of 2.00 g hangs on the other end. pulleys + + + + + + 2.00 g mass electric field of charged sphere 2000 V m–1 of mass 0.80 g _ _ _ _ _ _ The sphere is in equilibrium. What is the charge on the sphere? A –5.9 µC B +0.60 µC C +5.9 µC D +9.8 µC

1 marks

Answer: C

This question in 9702/11 Oct/Nov 2017

13 A street lamp is fixed to a wall by a metal rod and a cable. cable wall P metal rod lamp Which vector triangle could represent the forces acting at point P? A B C D

1 marks

Answer: D

This question in 9702/12 Oct/Nov 2017

14 Two rigid steel beams XY and YZ are fixed at their lower ends and are hinged at Y. Each beam is inclined at 50° to the horizontal, as shown. A weight of 4.0 × 104 N hangs from Y. The structure is in equilibrium. hinge Y steel beam steel beam 4.0 × 104 N 50° 50° X Z What is the force exerted by each beam on the hinge at Y? A 2.6 × 104 N B 3.1 × 104 N C 5.2 × 104 N D 6.2 × 104 N

1 marks

Answer: A

This question in 9702/12 Oct/Nov 2017

13 A solid sphere falls at constant (terminal) velocity in a liquid. The three forces acting on the sphere are shown in the diagram. upthrust U drag D not to scale weight W How are the three forces related? A W + D = U B W > U + D C W – U = D D W < D + U

1 marks

Answer: C

This question in 9702/13 Oct/Nov 2017

3 Two forces of equal magnitude are represented by two coplanar vectors. One is directed towards the east and the other is directed towards the north. What is the direction of a single force that will balance these two forces? A towards the north-east B towards the north-west C towards the south-east D towards the south-west

1 marks

Answer: D

This question in 9702/12 Feb/March 2018

11 The diagram shows four forces applied to a circular object. 45 N 30 N 30 N 45 N Which row describes the resultant force and resultant torque on the object? resultant force resultant torque A non-zero non-zero B non-zero zero C zero non-zero D zero zero

1 marks

Answer: A

This question in 9702/12 Feb/March 2018

13 In which example is it not possible for the underlined body to be in equilibrium? A An aeroplane climbs at a steady rate. B An aeroplane tows a glider at a constant altitude. C A speedboat changes direction at a constant speed. D Two boats tow a ship into harbour.

1 marks

Answer: C

This question in 9702/12 Feb/March 2018

14 A car of mass 1100 kg is travelling at a constant speed of 15 m s–1 up a slope inclined at 10° to the horizontal. The combined frictional forces acting on the car are directed down the slope and are W , where W is the weight of the car. equal to 5 15 m s–1 10° What is the useful output power of the car’s engine? A 28 kW B 32 kW C 60 kW D 190 kW

1 marks

Answer: C

This question in 9702/12 Feb/March 2018

13 A uniform diving-board is held by two fixed rods at points P and Q. A person stands at end R of the diving-board, as shown. rod Q P rod R The forces exerted by the rods on the board are vertical. The board remains in equilibrium as the person slowly moves towards point Q from end R. Which row describes the changes to the forces exerted by the rods on the board? force at P force at Q A decreases decreases B decreases increases C increases decreases D increases increases

1 marks

Answer: A

This question in 9702/12 May/June 2018

15 The vector diagram shows three coplanar forces acting on an object at P. 3 N P 4 N 4 N The magnitude of the resultant of these three forces is 1 N. What is the direction of this resultant force? A B C D

1 marks

Answer: D

This question in 9702/12 May/June 2018

17 The diagram shows a ball of weight W hanging in equilibrium from a string. θ T string ball P rod W The string is at an angle θ to the vertical. The tension in the string is T. The ball is held away from the wall by a horizontal force P from a metal rod. What is the relationship between the magnitudes of T, P and W ? A P = T cosθ and W = T sinθ B T = P + W C T 2 = P 2 + W 2 D W = P tanθ and W = T cosθ

1 marks

Answer: C

This question in 9702/12 May/June 2018

11 A uniform rod of length 200 cm is freely pivoted at point P. The rod is held horizontally in equilibrium by a 60 N weight that is attached to the rod by a string passing over a frictionless pulley. frictionless uniform rod pulley 40 cm 30° P 200 cm weight 60 N What is the weight of the rod? A 30 N B 60 N C 80 N D 140 N

1 marks

Answer: C

This question in 9702/11 Oct/Nov 2018

12 A ladder rests in equilibrium on rough ground against a rough wall. P rough G wall Q rough ground The weight W of the ladder acts through the centre of gravity G. Forces also act on the ladder at P and at Q. These forces are P and Q respectively. Which vector triangle represents the forces on the ladder? A B C D P P P P W W Q Q W Q W Q

1 marks

Answer: A

This question in 9702/11 Oct/Nov 2018

12 A uniform rectangular board is supported by a frictionless pivot at its centre point P. R 2.5F 20 cm P Q F Two forces act in the plane of the board. Force F acts at corner Q and force 2.5F acts at corner R. The perpendicular distance between the line of action of force F and point P is 20 cm. The board is in equilibrium. What is the area of the board? A 160 cm2 B 320 cm2 C 640 cm2 D 1600 cm2

1 marks

Answer: C

This question in 9702/12 Oct/Nov 2018

13 A kite is in equilibrium at the end of a string, as shown. kite string W The kite has three forces acting on it: the weight W, the tension T in the string, and the force F from the wind. Which vector diagram represents the forces acting on the kite? A B C D T T W W T F W F W F F T

1 marks

Answer: A

This question in 9702/12 Oct/Nov 2018

13 The diagram shows the jib of a crane at an angle of 35° to the vertical. A cable passes over a frictionless pulley and carries a load of 1830 N. R pulley cable 35° 35° jib cable 1830 N The force R that the pulley exerts on the cable is in line with the jib. The cable and the pulley are in equilibrium. What is the value of R ? A 1000 N B 1500 N C 2100 N D 3000 N

1 marks

Answer: D

This question in 9702/13 Oct/Nov 2018

11 A ball falls through a liquid at a constant speed. It is acted upon by three forces: an upthrust, a drag-force and its weight. Which statement is correct? A The drag-force increases with increasing depth. B The drag-force is equal to the sum of the upthrust and weight. C The upthrust is constant with increasing depth. D The weight is greater than the sum of the drag-force and the upthrust.

1 marks

Answer: C

This question in 9702/12 Feb/March 2019

13 A uniform horizontal beam OX, 4.0 m long and weighing 100 N, is hinged at a wall at point O. It is supported by a cord XY which is attached to the wall at Y. Y cord O 30° X 4.0 m What is the tension in the cord? A 50 N B 58 N C 86 N D 100 N

1 marks

Answer: D

This question in 9702/12 Feb/March 2019

14 A crane uses a counterweight to stop it from toppling over when lifting a load, as shown. pivot counterweight 5000 kg 17.0 m not to 12.0 kN scale crane The counterweight has a mass of 5000 kg. The crane is required to lift a load of 12.0 kN and the horizontal distance from the pivot to the load is 17.0 m. How far from the pivot should the centre of gravity of the counterweight be positioned in order to keep the crane in equilibrium? A 0.0408 m B 0.240 m C 4.16 m D 40.8 m

1 marks

Answer: C

This question in 9702/11 May/June 2019

15 Three parallel forces act on an object. As a result of these forces, the object is in equilibrium. What must be correct for these forces? A They all act along the same line. B They all have the same magnitude. C They do not all act along the same line. D They do not all have the same magnitude.

1 marks

Answer: D

This question in 9702/11 May/June 2019

12 A submarine descends vertically at constant velocity. The three forces acting on the submarine are viscous drag, upthrust and weight. Which relationship between their magnitudes is correct? A weight < drag B weight = drag C weight < upthrust D weight > upthrust

1 marks

Answer: D

This question in 9702/12 May/June 2019

14 A car of mass m travels at constant speed up a slope at an angle θ to the horizontal, as shown in the diagram. Air resistance and friction provide a resistive force F. The acceleration of free fall is g. resistive force F θ What is the force needed to propel the car at this constant speed? A mg cos θ B mg sin θ C mg cos θ + F D mg sin θ + F

1 marks

Answer: D

This question in 9702/12 May/June 2019

11 A picture is suspended from a nail by a single cord connected to two points X and Y on the picture. There is negligible friction between the cord and the nail so that the tension in both sides of the cord is the same. The picture hangs symmetrically, as shown. cord nail θ θ picture X Y The tension in the cord is T. The angle between the cord and the vertical is θ on both sides. Which statement is correct? A Increasing the length of the cord, with points X and Y in the same place on the picture, would reduce the tension in the cord. B Moving points X and Y further apart on the picture while keeping the length of the cord constant would reduce the tension in the cord. C Moving points X and Y to the top edge of the picture while keeping their distance apart constant and the length of the cord constant would reduce the tension in the cord. D The weight of the picture is equal to T cosθ.

1 marks

Answer: A

This question in 9702/13 May/June 2019

12 A shop sign weighing 75 N hangs from a frame attached to a vertical wall. Z 30° X Y 0.50 m wall sign weight 75 N The frame consists of a horizontal rod XY and a rod YZ that is at an angle of 30° to the horizontal. Rod XY is attached to the wall by a hinge at X and has length 0.50 m. Assume that the weights of the rods are negligible. What is the horizontal force exerted by the wall on rod XY? A 0 N B 43 N C 130 N D 150 N

1 marks

Answer: C

This question in 9702/13 May/June 2019

13 An object of weight 120 N is supported in equilibrium by two strings as shown. T1 70° 20° 120 N What is the tension T1 in the left-hand string? A 41 N B 77 N C 113 N D 128 N

1 marks

Answer: C

This question in 9702/11 Oct/Nov 2019

11 A rigid uniform bar of length 2.4 m is pivoted horizontally at its midpoint. 0.8 m 0.8 m 200 N 300 N Weights are hung from two points on the bar as shown in the diagram. To maintain equilibrium, a couple is applied to the bar. What is the torque and direction of this couple? A 40 N m clockwise B 40 N m anticlockwise C 80 N m clockwise D 80 N m anticlockwise

1 marks

Answer: A

This question in 9702/12 Oct/Nov 2019

30 A charged oil drop of mass m, with n excess electrons, is held stationary in the uniform electric field between two horizontal plates separated by a distance d. V m d The voltage between the plates is V, the elementary charge is e and the acceleration of free fall is g. What is the value of n ? eV mgd meV gd A B C D mgd eV gd meV

1 marks

Answer: B

This question in 9702/12 Oct/Nov 2019

12 A heavy ball hanging from a cable is held in equilibrium by a chain, as shown. point of suspension cable chain heavy ball Which vector diagram shows the three forces acting on the ball? A B tension tension in cable in cable weight weight of ball of ball tension tension in chain in chain C D tension weight tension weight in cable of ball in cable of ball tension tension in chain in chain

1 marks

Answer: A

This question in 9702/13 Oct/Nov 2019

12 A uniform rod of weight 20 N and length 2.0 m is acted upon by two vertical forces, as shown. 15 N 5.0 N What are the resultant force acting on the rod and the resultant moment about the centre of gravity of the rod? resultant force resultant moment / N / N m A 0 10 B 0 20 C 20 10 D 20 20

1 marks

Answer: A

This question in 9702/12 Feb/March 2020

13 Three coplanar forces act on a block. Which diagram shows the directions of the forces such that the block could be in equilibrium? A B C D

1 marks

Answer: B

This question in 9702/12 Feb/March 2020

11 A wooden block rests on the rough surface of a board. One end of the board is then raised until the block slides down the board at constant velocity v. block v board What describes the forces acting on the block when it is sliding with constant velocity? frictional force on block resultant force on block A down the board down the board B down the board zero C up the board down the board D up the board zero

1 marks

Answer: D

This question in 9702/11 May/June 2020

14 Four combinations of vectors are shown, each representing all the forces acting on an object. The forces all act in the same plane. The object is in equilibrium. Which combination of vectors could represent the forces acting on the object? A B C D

1 marks

Answer: D

This question in 9702/11 May/June 2020

12 A thin horizontal beam XY is freely hinged at point Y to a vertical wall. The beam is held stationary by a cable XZ which is attached to the wall at point Z. Z wall cable Y hinge X beam W The beam supports a weight W at point X. The forces in the cable and the beam are FC and FB respectively. Which vector triangle represents the forces acting on point X? A B C D FB FB FB FB W W W W FC FC FC FC

1 marks

Answer: A

This question in 9702/12 May/June 2020

13 A non-uniform rod has a mass of 100 g and a length of 50 cm. It is supported by a chain at its midpoint. The rod is held in equilibrium by having a mass of 60 g suspended from its right-hand end, as shown. centre non-uniform rod of gravity chain supporting the of mass 100 g of rod rod at its midpoint 50 cm d mass 60 g The centre of gravity of the rod is a distance d from its left-hand end. What is the value of d ? A 10 cm B 15 cm C 25 cm D 40 cm

1 marks

Answer: A

This question in 9702/13 May/June 2020

14 A light rigid rod XY has an object of weight W fixed at one end. The rod is in equilibrium, resting on a support at Z and a vertical wall at X. The support exerts a force R on the rod as shown. The diagram shows the directions, but not the magnitudes, of the forces R and W. wall Y W R Z X What is the direction of the force on the rod at X? A B C D

1 marks

Answer: D

This question in 9702/13 May/June 2020

13 A ball is rolling down a slope at a constant speed. The three forces acting on the ball are its weight, the contact force normal to the slope and friction. ball Which diagram could represent these three forces? A B C D

1 marks

Answer: D

This question in 9702/11 Oct/Nov 2020

13 The diagram shows a uniform beam PQ. The length of the beam is 3.0 m and its weight is 50 N. The beam is supported on a pivot 1.0 m from end P. A load of weight W is hung from end P. The beam is in equilibrium. 3.0 m 1.0 m P Q W pivot What is the value of W ? A 25 N B 50 N C 75 N D 100 N

1 marks

Answer: A

This question in 9702/12 Oct/Nov 2020

14 In a high-wire circus act, a man of mass 85 kg is standing at rest at the midpoint of the wire. 20° 20° T T The wire on either side of the man is at an angle of 20 to the horizontal. What is the tension T in the wire? A 0.44 kN B 0.89 kN C 1.2 kN D 2.4 kN

1 marks

Answer: C

This question in 9702/12 Oct/Nov 2020

11 An air bubble is rising through a liquid at a constant speed. The forces on it are the upthrust U, the viscous drag V and its weight W. Which diagram shows the directions and relative sizes of the forces? A B C D U U U U V W W V V W V W

1 marks

Answer: A

This question in 9702/13 Oct/Nov 2020

13 A shelf PQ is attached to a vertical wall at P and supports a book. The shelf is held horizontal by a rigid bar XY, as shown. book wall shelf P Q θ X Y F Wb Ws bar The weight of the shelf is Ws and the weight of the book is Wb. The bar is at an angle  to the shelf and exerts a force F on the shelf. The shelf is in equilibrium. What are the magnitudes of the horizontal and the vertical components of the force of the wall on the shelf at P? horizontal component vertical component A F cos  (Ws + Wb – F cos  ) B F cos  (Ws + Wb – F sin  ) C F sin  (Ws + Wb – F cos  ) D F sin  (Ws + Wb – F sin  )

1 marks

Answer: B

This question in 9702/13 Oct/Nov 2020

14 A glider is descending at constant speed at an angle of 15 to the horizontal. The diagram shows the directions of the lift L, air resistance R and weight W acting on the glider. L R 15° W Which vector triangle could represent the forces acting on the glider? A B C D

1 marks

Answer: D

This question in 9702/13 Oct/Nov 2020

13 A mass of 30 kg is suspended from the end of a wire. A horizontal force F acts on the mass so that it is in equilibrium, with the wire at an angle of 30° to the vertical, as shown. 30° mass 30 kg F What is the magnitude of F ? A 17 N B 150 N C 170 N D 510 N

1 marks

Answer: C

This question in 9702/12 Feb/March 2021

11 A steel ball is falling at a constant (terminal) speed in still air. The forces acting on the ball are upthrust, viscous drag and weight. What is the order of increasing magnitude of these three forces? A upthrust  viscous drag  weight B viscous drag  upthrust  weight C viscous drag  weight  upthrust D weight  upthrust  viscous drag

1 marks

Answer: A

This question in 9702/13 May/June 2021

11 A spherical object falls through water at a constant speed. Three forces act on the object. Which diagram, showing these three forces to scale, is correct? A B C D

1 marks

Answer: B

This question in 9702/13 Oct/Nov 2021

14 A uniform rod of length 200 cm is freely pivoted at point P. The rod is held horizontally in equilibrium by a 60 N weight that is attached to the rod by a string passing over a frictionless pulley. string frictionless uniform rod pulley 40 cm 30° P 200 cm weight 60 N What is the weight of the rod? A 30 N B 60 N C 80 N D 140 N

1 marks

Answer: C

This question in 9702/13 Oct/Nov 2021

12 A cube WXZY has sides of length 2.0 cm and mass 24.0 g. The cube rests on a metre rule of negligible mass. The geometrical centre of the cube is vertically above the 70.0 cm mark on the scale of the rule. mass 24.0 g mass W X NOT TO 23.4 g SCALE Y Z 30 50 69 71 The cube has a non-uniform density so that its centre of gravity is not at its geometrical centre. The centre of gravity of the cube is in the plane of the diagram. The rule rests on a pivot at the 50.0 cm mark. A mass of 23.4 g is placed vertically above the 30.0 cm mark. The rule is horizontal and in equilibrium. What can be determined about the position of the centre of gravity of the cube? A It must be somewhere along a horizontal line that is 0.5 cm from line WX. B It must be somewhere along a horizontal line that is 0.5 cm from line YZ. C It must be somewhere along a vertical line that is 0.5 cm from line WY. D It must be somewhere along a vertical line that is 0.5 cm from line XZ.

1 marks

Answer: C

This question in 9702/12 Feb/March 2022

12 When must an object be in equilibrium? A when no resultant force acts on the object B when no resultant force and no resultant torque act on the object C when no resultant torque acts on the object D when the upward force on the object is equal and opposite to its weight

1 marks

Answer: B

This question in 9702/11 May/June 2022

13 A uniform diving board is held by two fixed rods at points P and Q. A person stands at end R of the diving board, as shown. rod Q P rod R The forces exerted by the rods on the board are vertical. The board remains in equilibrium as the person slowly moves towards point Q from end R. Which row describes the changes to the magnitudes of the forces exerted by the rods on the board? force at P force at Q A decreases decreases B decreases increases C increases decreases D increases increases

1 marks

Answer: A

This question in 9702/11 May/June 2022

8 A child of mass 20 kg stands on the rough surface of a sledge of mass 40 kg. The sledge can slide on a horizontal frictionless surface. One end of a rope is attached to the sledge. The rope passes around a fixed frictionless pole, and the other end of the rope is held by the child, as shown. frictionless horizontal rope pole frictionless surface The rope is horizontal. The child pulls on the rope with a horizontal force of 12 N. This causes the child and the sledge to move with equal acceleration towards the pole. What is the frictional force between the child and the sledge? A 4.0 N B 6.0 N C 8.0 N D 12 N

1 marks

Answer: A

This question in 9702/12 May/June 2022

12 A uniform rod is attached by a hinge at one end to a wall. The other end of the rod is supported by a wire so that the rod is horizontal and in equilibrium. wire wall hinge rod Which arrow shows the direction of the force on the rod from the hinge? A B C D

1 marks

Answer: D

This question in 9702/12 May/June 2022

12 Forces are applied to a rigid object. The forces all act in the same plane. In which diagram is the object in equilibrium? A B C D F F F F 1 F 1 F 1 F 1 F 2 2 2 2 1 F 1 F 2 2 F F F F

1 marks

Answer: A

This question in 9702/11 Oct/Nov 2022

13 A box of length 12 cm and weight 0.43 N is placed on a horizontal table, with the greater part of its length overhanging the edge of the table. The edge of the table acts as a pivot. The centre of gravity of the box is at its geometric centre. To balance the box, a uniform sphere of diameter 2.4 cm is placed inside the box, touching one end, as shown. 12 cm box 2.4 cm sphere table edge of table (pivot) Assume that the forces acting on the box are in the plane of the diagram. What is the minimum mass of the sphere that is needed to maintain the system in equilibrium? A 0.066 kg B 0.13 kg C 0.22 kg D 1.3 kg

1 marks

Answer: B

This question in 9702/12 Oct/Nov 2022

14 An object is suspended by two ropes. One rope has a tension of 410N at an angle of 60° to the horizontal. The other rope has a tension of 210 N at an angle of 10° to the horizontal. 410N The object is in equilibrium. What is the mass of the object? A 40kg B 42kg C 390kg D 410kg

1 marks

Answer: A

This question in 9702/12 Oct/Nov 2022

9 An air bubble in a tank of water is rising with terminal (constant) velocity. The forces acting on the bubble are X, Y and Z, as shown. X velocity air bubble Y Z The upthrust on the bubble is X. Which statement about the forces is correct? A Z is the viscous force on the bubble, Y is the weight of the bubble and X = Y + Z. B Z is the viscous force on the bubble, Y is the weight of the bubble and X > Y + Z. C Z is the weight of the bubble, Y is the viscous force on the bubble and X = Y + Z. D Z is the weight of the bubble, Y is the viscous force on the bubble and X > Y + Z.

1 marks

Answer: A

This question in 9702/13 Oct/Nov 2022

13 Auniform rod of length 30cm and weight 5.2 N is attached to a wall by a hinge at one end. The other end of the rod is supported by a wire so that the rod is horizontal and in equilibrium. The wire is at an angle of 40° to the horizontal. wall hinge What is the tension in the wire? A 3.4N B 4.0N C 6.8N D 8.1N

1 marks

Answer: B

This question in 9702/13 Oct/Nov 2022

12 The diagrams show two ways of hanging the same picture. nail R2 nail R1 T2 T2 T1 T1 diagram 1 diagram 2 In both cases, a string is attached to the same points on the picture and looped symmetrically over a nail in a wall. The forces shown are those that act on the nail. In diagram 1, the string loop is shorter than in diagram 2. Which information about the magnitude of the forces is correct? A R1 = R2 T1 = T2 B R1 = R2 T1 > T2 C R1 > R2 T1 < T2 D R1 < R2 T1 = T2

1 marks

Answer: B

This question in 9702/12 Feb/March 2023

13 The diagram shows a ball of weight W hanging in equilibrium from a string. The string is at an angle @to the vertical. The tension in the string is T. The ball is held away from the wall by a horizontal force P from a metal rod. Which relationship between the magnitudes of 7, P and Wis correct? A P=Tcosé and W=Tsing B T=P+W C T*=P*+W? D W=Ptané and W=Tcosdé

1 marks

Answer: C

This question in 9702/11 May/June 2023

12 A uniform rod XY of weight 10.0N is freely hinged to a wall at X. It is held horizontal by a force F acting from Y at an angle of 30° to the horizontal, as shown. wall What is the value of F? A 5.0N B 8.7N C 10N D 20N

1 marks

Answer: C

This question in 9702/12 May/June 2023

4 Anaeroplane is moving at a constant speed in a straight line at an angle @ to the horizontal. Four forces act on the aeroplane: thrust force 7, weight W, lift force L and resistive force R. L T Which two equations must be correct? A L=Wcos@ and T=R+Wsing B L=Wsin@ and T=R+Wcos@ C L=Wcosé@ and T=R-Wsin#@ D L=Wsin@ and T=R-Wcos@

1 marks

Answer: A

This question in 9702/12 Oct/Nov 2023

7 Two blocks, of mass 0.20 kg and 0.50 kg, are connected by a light inextensible string that passes over a frictionless pulley. rough block, horizontal mass 0.20 kg surface pulley block, mass 0.50 kg The blocks are initially held stationary. The block of mass 0.20 kg rests on a rough horizontal surface. The block of mass 0.50 kg is suspended in air. Air resistance is negligible. When the blocks are released, they have an acceleration of magnitude 2.0 m s–2. What is the magnitude of the frictional force between the block of mass 0.20 kg and the rough surface? A 3.5 N B 3.9 N C 4.5 N D 6.3 N

1 marks

Answer: A

This question in 9702/12 Oct/Nov 2023

13 The diagram shows an experiment to determine the force exerted on a ball by a horizontal air flow. = _ air flow The ball is suspended by a light string and weighs 0.15N. The deflection of the string from vertical is 30°. The ball is in equilibrium. What is the force on the ball from the air flow? A 0.075N B 0.087N C 0.26N D 0.30N

1 marks

Answer: B

This question in 9702/12 Oct/Nov 2023

12 Two parts of a sailing boat are the mast and the boom. The mast is a vertical rigid beam and the boom is a horizontal rigid beam. One end of the boom is attached to the mast by a pivot. The other end of the boom is connected to the mast by a rope, as shown. rope mast T pivot 200N boom The rope is at an angle of 40° to the horizontal and exerts a tension force T on the boom. The weight of the boom is 200N. The mass of the boom is uniformly distributed along its length. The boom is in equilibrium. What is the magnitude of 7? A 130N B 160N C 260N D 310N

1 marks

Answer: B

This question in 9702/13 Oct/Nov 2023

14 A hinged trapdoor is held closed in the horizontal position by a cable. Three forces act on the trapdoor: the weight W of the door, the tension T in the cable and the force H at the hinge. cable wall T trapdoor hinge H W Which list gives the three forces in increasing order of magnitude? A H, T, W B T, H, W C W, H, T D W, T, H

1 marks

Answer: C

This question in 9702/12 Feb/March 2024

17 The diagram shows four forces acting on a circular disc. F F F F Each force has magnitude F. Two of the forces act vertically and the other two forces act horizontally. All four forces act in the same plane as the disc. No other forces act on the disc. The disc has diameter d. Which statement is correct? A The disc is in equilibrium because the resultant force is zero. B The disc is not in equilibrium because the resultant force is 4F. C The disc is in equilibrium because the resultant torque is zero. D The disc is not in equilibrium because the resultant torque is 2Fd.

1 marks

Answer: D

This question in 9702/12 Feb/March 2024

14 An isolated object of negligible weight is acted on by two coplanar forces of the same magnitude. In which diagram is the object in equilibrium? A B C D

1 marks

Answer: A

This question in 9702/11 May/June 2024

16 The diagram shows the dimensions of an elastic cord used to project a stone. The tension in the cord is T when the cord is pulled into the shape shown. 10 cm T 6 cm 16 cm stone T Which force does the elastic cord exert on the stone? A 3 T B 6 T C 8 T D 2T 5 5 5

1 marks

Answer: B

This question in 9702/11 May/June 2024

12 The diagram shows a uniform rod, XY, that is freely hinged to a vertical wall at end Y. The rod is at an angle of 60° to the wall. hinge 3.0N not to scale A force F acts at an angle of 30° to the rod at end X. The rod has a weight of 3.0N and is in equilibrium. What is the magnitude of force F? A 0.87N B 1.5N C 2.6N D 5.2N

1 marks

Answer: C

This question in 9702/12 May/June 2024

11 An object is held in equilibrium by three forces. The forces all act in the same plane. The diagram shows two of the forces that act on the object. 43N NOT TO SCALE 125° 17N The third force is missing from the diagram. What is the third force? A B Cc D | 165°( | ' \157° 55N 36N 55N 36N 157°\_ | | 7 165°

1 marks

Answer: B

This question in 9702/13 May/June 2024

12 The total number of forces acting on an object is two. The object is in equilibrium. Which statements about the forces are correct? 1 The two forces must have equal magnitudes. 2 The two forces must act in the same direction. 3 The two forces must act through the same point. A 1 and 2 only B 1 and 3 only C 2 and 3 only D 1, 2 and 3

1 marks

Answer: B

This question in 9702/13 May/June 2024

8 A ladder is positioned on icy (frictionless) ground and is leant against a rough wall. At the instant of release it begins to slide. Which diagram shows the directions of the forces P, W and R acting on the ladder as it slides? A B P P ladder ladder wall wall R R W W ground ground C D P P ladder ladder wall wall R R W W ground ground

1 marks

Answer: B

This question in 9702/11 Oct/Nov 2024

16 A uniform bar of weight 200N and length 4.0m is freely hinged on a wall at one end. The bar is horizontal and is held in equilibrium by a cable attached at a distance of 0.50m from the other end. The cable is at an angle of 35° to the horizontal. wall '(0.50m _—$ @ i —_—\—o@°$ >——_— What is the tension T in the cable? A 140N B 170N C 200N D 400N

1 marks

Answer: C

This question in 9702/11 Oct/Nov 2024

11 Which single condition must apply for an object to be in equilibrium? A The object has a constant non-zero acceleration. B The object is stationary. C There are no forces acting on the object. D The resultant force acting on the object is zero.

1 marks

Answer: D

This question in 9702/12 Oct/Nov 2024

12 A kite is in equilibrium at the end of a string, as shown. kite string W The kite has three forces acting on it: the weight W, the tension T in the string, and the force F from the wind. Which vector diagram represents the forces acting on the kite? A B C D T T W W T F W F W F F T

1 marks

Answer: A

This question in 9702/12 Oct/Nov 2024

6 In which example is it not possible for the underlined object to be in equilibrium? A An aeroplane climbs at a steady rate. B An aeroplane tows a glider at a constant altitude. C A speedboat changes direction at a constant speed. D Two boats tow a ship into harbour.

1 marks

Answer: C

This question in 9702/13 Oct/Nov 2024

14 A uniform beam of mass 1.4 kg is pivoted at P, as shown. The beam has a length of 0.60 m and P is a distance of 0.20 m from one end. Loads of 3.0 kg and 6.0 kg are suspended at distances of 0.35 m and 0.15 m from the pivot, as shown. 0.40 m 0.20 m 0.35 m 0.15 m 3.0 kg P 6.0 kg centre of beam of mass 1.4 kg What is the torque that must be applied to the beam in order to maintain it in equilibrium? A 0.010 N m B 0.10 N m C 0.29 N m D 2.8 N m

1 marks

Answer: D

This question in 9702/13 Oct/Nov 2024

15 The diagrams show three rigid objects P, Q and R being subjected to different combinations of forces. 10N 20N A B Cc P and Q PandR QandR none of them LL Which objects are in equilibrium? 80N 60N Q 80N 60N 30° 30° 50N \b\! 14 50N 100N

1 marks

Answer: D

This question in 9702/13 Oct/Nov 2024

11 A shop sign weighing 75 N hangs from a frame attached to a vertical wall. Z 30° X Y 0.50 m wall sign weight 75 N The frame consists of a horizontal rod XY and a rod YZ that is at an angle of 30° to the horizontal. Rod XY is attached to the wall by a hinge at X and has length 0.50 m. Assume that the weights of the rods are negligible. What is the horizontal force exerted by the wall on rod XY? A 0 N B 43 N C 130 N D 150 N

1 marks

Answer: C

This question in 9702/12 Feb/March 2025

13 The diagram shows a uniform plank XY of length 4.0 m and weight 300 N. child plank X Y support 4.0 m The plank rests on fixed supports at its ends X and Y. A child of weight 600 N stands in different positions on the plank. The support at end X exerts a force F vertically upwards on the plank. What is the magnitude of F when the child stands at X and when the child stands at Y? F / N when F / N when child is at X child is at Y A 600 0 B 600 150 C 750 0 D 750 150

1 marks

Answer: D

This question in 9702/12 Feb/March 2025

14 A wooden block is held stationary in a container of water using a string that is attached to both the wooden block and the bottom of the container. container wooden block water string The wooden block has mass m and volume V. The water has density . The acceleration of free fall is g. What is the magnitude of the force acting on the block due to the tension in the string? A  gV B mg +  gV C mg D  gV – mg

1 marks

Answer: D

This question in 9702/12 May/June 2025

10 Four forces, all in the same plane, act on an object. 12 N 20 N 20 N 12 N What could describe the motion of the object? A It is accelerating. B It is moving in a straight line. C It is moving with decreasing speed. D It is moving with increasing momentum.

1 marks

Answer: B

This question in 9702/13 May/June 2025

14 A block is in equilibrium on a slope. block Which vector triangle represents the three forces acting on the block? A B C D

1 marks

Answer: C

This question in 9702/13 May/June 2025

11 A picture frame hangs from a string. The string is supported by a pin. The frame is in equilibrium. pin string frame Which diagram shows the vector triangle of forces acting on the picture frame? A B C D

1 marks

Answer: D

This question in 9702/14 May/June 2025

13 A uniform rod of weight 28 N is supported at one end by force F. The rod is in equilibrium and attached to a frictionless hinge at end X. F rod 40° X 28 N What is the magnitude of F ? A 9.0 N B 11 N C 18 N D 21 N

1 marks

Answer: B

This question in 9702/11 Oct/Nov 2025

14 The diagram shows a uniform bar of mass M and length L resting on a pivot at a distance x from end X. L x X An object of mass m is placed on the bar at distance y from the pivot so that the bar is in equilibrium. What is an expression for y? xM M (L – x) M 1 (Lm – xM ) A B C (L – 2x) D m m 2 m m

1 marks

Answer: C

This question in 9702/12 Oct/Nov 2025

13 A uniform rod of weight 28 N is supported at one end by force F. The rod is in equilibrium and attached to a frictionless hinge at end X. F rod 40° X 28 N What is the magnitude of F ? A 9.0 N B 11 N C 18 N D 21 N

1 marks

Answer: B

This question in 9702/13 Oct/Nov 2025

13 A uniform rod is attached by a hinge at one end to a wall. The other end of the rod is supported by a wire so that the rod is horizontal and in equilibrium. wire wall hinge rod Which arrow shows the direction of the force on the rod from the hinge? A B C D

1 marks

Answer: D

This question in 9702/14 Oct/Nov 2025

15 A uniform beam rests on two supports, X and Y, as shown. X Y 700 N 200 N 6.0 m 10.0 m 20.0 m not to scale The beam has length 20.0 m and weight 200 N. A man of weight 700 N stands on the beam at a distance of 6.0 m from support X. The beam is in equilibrium. What is the contact force of support X on the beam? A 310 N B 450 N C 590 N D 900 N

1 marks

Answer: C

This question in 9702/14 Oct/Nov 2025