1. 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.

2. 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.

3. 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?

4. 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?

5. 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)

6. 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 $s$?

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

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

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. 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 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. Which of the following is a vector quantity?

12. 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?

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

15. 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?

16. 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?

17. 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?

18. 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.

19. 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?

20. Two cyclists, $A$ and $B$, start riding their bicycles from the same point. Cyclist $A$ moves northwards with a speed of $4v$ relative to the ground, and cyclist $B$ moves westwards with a speed of $3v$ relative to the ground.

The magnitude of the velocity of the Cyclist $A$ relative to the Cyclist $B$ is

21. 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 $d$?

22. 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

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. 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 $Y$?

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?