1. 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?

2. 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?

3. Which of the following is not a suitable SI unit of energy?

4. 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?

5. 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)?

6. A coin is tossed vertically upwards from a height of 1.5m. What is the maximum height reached above the ground if the coin was projected with an initial velocity of 3.0 ms^−1? (Take g=10 ms^−2)

7. 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?

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. 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.

10. 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?

11. Which of the following is a vector quantity?

12. As a truck is brought to rest, the brakes apply a force of 5.1×10^3 N. Which answer best describes the magnitude of the change in momentum of the truck if the brakes are applied for 3.0 $s$?

13. 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?

14. 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?

15. 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?

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

17. A ball is projected in an environment where air resistance can be ignored.

Which graph shows the variation of the resultant force $R$ acting on the ball with the height $h$ of the object?

A.			B.
C.			D.

18. 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?

19. 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 $d$?

20. 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?

21. 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

22. 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

23. 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.

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

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

25. 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?