1. A mass is attached to the mirror of a car by a string. As the car accelerates to the left, the string makes an angle with the vertical as shown in the diagram below.

Which of the following shows the correct free-body diagram that represents the forces acting on this mass when it is accelerating?

A.			B.
C.			D.

2. 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.

3. 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 20ms^−1. What is the height of the cliff?

4. The graph shows the variation of velocity $v$ with time $t$ of a car.

Which of the following can be deduced from the graph?

I. Displacement
II. Acceleration
III. Change in velocity

5. 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;

6. An object of mass M on a string moves in a circle of radius r at a constant speed.

Which of the following statements is true about the motion of the object:

• I.  The resultant work done on the object is zero.
• II.  The velocity of the object is constant.
• III.  The object is accelerating

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

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

8. Two eggs of equal mass fall from the same height onto a padded floor. One of them is broken while the other one bounces upwards intact. The time of collision is the same for both. Which of the following correctly describes the egg that exerts more force on the floor and the reason?

9. A rocket ejects hot gas in space in a direction opposite to its travelling direction. What is correct for the magnitude of the momentum and the kinetic energy of the rocket?

10. A spring of negligible mass and length of lolo is attached to a fixed point. When the spring is extended by an external force $F$, the length of the spring increases to $l$. The graph shows how the length of the spring varies with the tension in spring. The tension in the spring is equal to $k\Delta l$, where k is a constant and $\Delta l$ is the extension of the spring.

What are the gradient and y-intercept of the graph?

11. A ball of mass $m$ is falling vertically through the air. The drag force acting on the ball is given by kv^2 where $k$ is constant and $v$ is the speed of the ball. What is the maximum speed reached by the ball?

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

13. A wheel rotates from rest with uniform angular acceleration. After $16s$, it makes 5 revolutions per second.

What is the angular displacement of the wheel during this time?

14. The take off speed of a passenger aircraft is 75.0 ms^−1. A plane starts from rest and accelerates at a steady rate of 1.25 ms^−2. Which of the following correctly states the minimum duration of taxiing, and the minimum length of the runway needed for the take off?

15. An object moves in a circular path of radius $2m$ with angular displacement of π/2rad in $5s$.

What is the linear speed of the object?

16. A builder uses a block and tackle pulley system to lift a bundle of materials of mass 15 kg to the top of a building of height 6 m in 9 s. What is the power delivered to the bundle?

17. The figure below shows Sankey's diagram for a small thermal plant. What is the efficiency of the system?

18. Observations of muon decay can be used as evidence of

I. Time dilation
II. Length contraction
III. Absolute simultaneity

19. 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?

20. A stone attached to one end of a rod rotates in a vertical circle at a constant speed. Two positions of the stone at two different instants, X and Y, are shown in the diagram below.

In the table below, which row is correct for the centripetal force acting on the stone at X and Y?

21. 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 3m above the ground in terms of its kinetic energy (Ek) and gravitational potential energy (Ep)?

22. A box of mass m is pulled across a horizontal surface with a force $F$ as shown in the diagram. The coefficient of dynamic friction between the box and the surface is µ. What is the energy transferred to thermal energy while a box is moved by a distance of $d$?

23. Consider the weight, $W$, of a skydiver falling through 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.

24. The diagram below shows a tennis ball of mass $m$ striking a wall with an initial velocity, u, and rebounding with velocity $v$. A second, softer ball of the same mass strikes the wall with the same speed but rebounds with a slower rebound speed.

Which of the following statements is correct about the magnitudes of the impulse and change in momentum applied to the second ball compared to the first?

25. 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?