The radius of the circle is 3.12 m. Calculate the area of the circle with regard to significant figures.

Write to causes of errors in measurement.

Two bodies A and B are moving with velocities V_A and V_B making an 'θ' with each other. Determine the relative velocity of A with respect to B. What will be the relative velocity.
(i) When 2 bodies are moving in the same direction.
(ii) When 2 bodies are moving in the opposite direction.
(iii) When 2 bodies are moving at right angle to each other.

A velocity-time graph is given for a particle moving in x direction, as below

(a) Describe the motion qualitatively in the interval 0 to 55 s.
(b) Find the distance and displacement travelled from 0 s to 40 s
(c) Find the acceleration at t = 5 s and at t = 20 s.

Briefly explain how is a vehicle able to go round a level curved track. Determine the maximum speed with which the vehicle can negotiate this curved track safely.

Two bodies of masses 7 kg and 5 kg are connected by a light string passing over a smooth pulley at the edge of the table as shown in the figure. The coefficient of static friction between the surfaces (body and table) is 0.9. Will the mass m₁ = 7 kg on the surface move? If not what value of m₂ should be used so that mass 7 kg begins to slide on the table?

A bullet of mass 30 g moving with a speed of 500 ms^-1 penetrates 10 em into a fixed target. Calculate the average force exerted by target on the bullet.

If the KE of a body increases by 300% by what percent will the linear momentum of the body increase.

Explain the method to find the center of gravity of a irregularly shaped lamina?

(i) Can a body in translatory motion have angular momentum? Explain.
(ii) Why is it more difficult to revolve a stone by tying it to a longer string than by tying it to a shorter string?

Discuss the important features of the law of gravitation.