1. A table tennis ball of mass m is dropped on a level surface from a height $H$. The ball rebounds to a height $h<H$ after impact. Which of the following is correct about the nature of the collision and magnitude of the change in momentum ($\Delta p$) of the ball as a result of this impact?

2. A car enters a roundabout with a speed $v$. The dotted line shows the path of the car. The road is slightly banked at an angle to the horizontal.

The coefficient of friction between the tires of the car and the road is $\mu$. When $\mu$ decreases, which of the following changes could prevent the car from slipping away on this roundabout?

3. The diagram below shows a car of mass m descending a slope. The car, initially at rest, covers a distance of $27m$ in 3.0 s.

The magnitude of the acceleration is given by

4. A box is pulled by a child with a horizontal force of 5$N$. The box moves a horizontal distance of 4$m$ in a time of 2$s$. The average power delivered by the child to the box is

5. A football player bounced the ball off their head as shown while diving sideways

Which of the following gives a Newton’s Third Law pair of forces that applies to this situation?

6. A ball is projected with an initial speed of 2 m s−1 , making an angle of 35o with the horizontal as shown.

Which expression gives the vertical component of the velocity vector?

7. An electric motor is used to raise a block of mass 18.0 kg vertically to the top of a building at a constant speed of 1.5 m s−1. If the power rating of the motor is 297 W, calculate the efficiency of the motor.

8. The engine of a racing car provides a forward thrust of $800N$. The average of the total resistive forces acting on the car is $300N$ and the car covers a distance of $1.0km$ in $10s$.

What is the average output power of the engine?

9. A spring with spring constant $k$ is extended by a distance $x$.

The uncertainty of $k$ is 2% and that of $x$ is 3%.

What is the uncertainty of the potential energy stored in the spring?

10. Which of the following units is not a unit of power?

11. The graph below shows the variation of the resultant force $F$ acting on a box with time t.

The box starts to move from rest. Which of the following graphs shows the variation of the momentum $p$ of the box with time $t$?

A.			B.
C.			D.

12. A basketball is launched at an angle and undergoes projectile motion. Air resistance is negligible. Which of the following is correct for the direction of its velocity vector and its acceleration vector at the highest point of its trajectory?

13. Consider the weight, $W$, of a skydiver falling through the air with a drag force Fdrag​

If the skydiver experiences terminal velocity, which of the following best represents the skydiver's motion by means of a free body diagram?

A.			B.
C.			D.

14. An airplane in straight level flight experiences a lift force $L$ that is proportional to the speed of the plane and is perpendicular to the axis of the wings and as shown in diagram.

On a banked turn at the same speed, the wings make an angle $\theta$ with the horizontal.

Which of the following gives the centripetal force on the airplane?

15. A cargo container is released from an airplane. A parachute is opened remotely a few seconds later to land it safely. Which graph shows the variation of the vertical acceleration with time t for the cargo container from when it leaves the plane until landing?

A.			B.
C.			D.

16. A pilot intends to fly a plane from point $A$ to point $B$. Due to strong winds, she points the nose of the plane in the direction shown by the vector $P$. Which of the choices below best represents the direction of the wind encountered by the plane?

A.			B.
C.			D.

17. An object moves at constant velocity for a period of time, after which it undergoes uniform deceleration until it comes to rest. A velocity-time graph is plotted for this motion. On the graph, which of the following represents the displacement of the object?

18. A box is pulled up a slope inclined at 30° to the horizontal by a force of F. The angle between the direction of $F$ and the plane of the incline is also 30°.

The box is pulled a distance of d up along the slope. What is the work done by F on the box?

19. A projectile is fired with a launch angle $\alpha$ above the horizontal and an initial velocity of 40 m s^−1 towards a cliff that rises 300 m above the plane of projection. The cliff is 120 m from the launch point.

Assuming that air resistance has no effect on the motion, then the time of flight taken by the projectile to reach the plane of the cliff, is given by;

20. An object moves $9m$ east, then 12m north.

What is the magnitude of the total displacement of this object?

21. A ball rolls horizontally off the edge of the top of a cliff. It hits the ground at a distance 2.0$m$ from the base of the cliff with a vertical speed of 20 m s−1. What is the height of the cliff?

22. Which of the following is a vector quantity?

23. A projectile is fired at an angle above the horizontal on the surface of Moon. Which of the following statements is correct about its motion:

24. A lead ball is dropped from a height of 12 $m$ above the ground. Assuming that air resistance is negligible, which of the following expressions best describes the total energy of the ball when it is at a height of 3 m above the ground in terms of its kinetic energy (Ek​) and gravitational potential energy (Ep​)?

25. The Sankey diagram below shows the energy degraded at different stages of a nuclear power plant.

Which of the following sections corresponds to the stage with the highest energy degradation?