1. 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?

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

3. 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 takeoff?

4. 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?

5. 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

6. A student throws a ball with an initial velocity in the horizontal direction. Air resistance is negligible. At t=2.0 s, the ball has travelled a distance $x$ in the horizontal direction and a distance $y$ in the vertical direction.

What are the horizontal and vertical distances covered at t=1.0s, in terms of x and $y$?

7. 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?

8. 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;

9. 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

10. 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.

11. 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.

12. A football player kicks a ball initially at rest. The ball reaches a speed of 36 km h^−1 in a time of $0.5s$. Which of the following is the acceleration of the ball in terms of the gravitational acceleration, $g$?

13. 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?

14. 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:

15. 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)

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

17. 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)?

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

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

19. 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.

20. 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?

21. 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?

22. 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 $Y$?

23. 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?

24. 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?

25. 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?