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. 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?

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. 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?

5. 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?

6. 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?

7. 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?

8. A spring of negligible mass and length of lo​ 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?

9. 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.

10. 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?

11. 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

12. 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.

13. 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.

14. 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

15. 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

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

17. 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?

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

19. Which of the following is a vector quantity?

20. 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.

21. 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.

22. As a truck is brought to rest, the brakes apply a force of 5.1×10power3 N. Which answer best describes the magnitude of the change in momentum of the truck if the brakes are applied for 3.0 s?

23. 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.

24. 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 6m in 9s. What is the power delivered to the bundle?

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

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