1. 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)?

2. 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

3. 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?

4. 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?

5. 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?

6. 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

7. Two trucks X and Y are pulling a car out of thick mud along a straight path. The only other horizontal force acting on the car is a drag force opposite to the direction of motion. The diagram shows the direction of the force applied by truck $X$ and the direction of motion of the car.

Which of the following vectors shows the direction of the force applied by truck $Y$?

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

9. 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?

10. 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?

11. 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?

12. An object sits on a rotating horizontal disc. The disc rotates from rest with uniform angular acceleration $\alpha$. After time $t$ the object slides off of the disc.

What is the linear speed of the object at this time?

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

The magnitude of the acceleration is given by

14. 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.

15. 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?

16. 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?

17. 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.

18. A ball is projected with an initial speed of 2ms^−1 making an angle of 35o with the horizontal as shown.

Which expression gives the vertical component of the velocity vector?

19. The graph shows the variation with time t of the velocity $v$ of a car traveling along a straight and level road.

What time does it take for the car to travel a distance of 31.5 m from t = 0?

20. 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?

21. A block of wood is placed on a rough inclined surface. Which of the diagrams below correctly represents the forces acting on the block when it is at rest?

A.			B.
C.			D.

22. 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 1.5ms^−1. If the power rating of the motor is 297 W, calculate the efficiency of the motor.

23. 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?

24. A car of mass $m$ and a truck of mass $3m$ travelling in opposite directions collide and stick together. The speeds of the car and the truck just before the crash are $2v$ and $v$ respectively. What is their speed after the collision?

25. A jet aircraft is performing a “loop-the-loop” stunt in which it moves in a vertical circular path as shown in the diagram.

A.			B.
C.			D.