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A ball collides with a smooth and fixed inclined plane of inclination θ after falling vertically through a distance h. If it moves horizontally just after the impact, the coefficient of restitution is:

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Important Questions on Centre of Mass, Momentum and Collisions

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Alpha Question Bank for Engineering: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise - 2>Q 18

A ball of mass m strikes the fixed inclined plane after falling through a height h. If it rebounds elastically, the impulse on the ball is:

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Alpha Question Bank for Engineering: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise - 2>Q 19

A small ball on a frictionless horizontal surface moves towards right with a velocity v. It collides with the wall and returns and continues to and fro motion. If the average speed for the first to and fro motion of the ball is 23v, then the coefficient of restitution of impact is:

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Alpha Question Bank for Engineering: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise - 2>Q 20
A sphere of the mass, m1=2 kg collides with a sphere of mass m2=3 kg, which is at rest. Mass m1 will move at a right angle to the line joining centers at the time of collision if the coefficient of restitution is:
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Alpha Question Bank for Engineering: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise - 2>Q 21
Two identical billiard balls are in contact on a smooth table. A third identical ball strikes them symmetrically and comes to rest after impact. The coefficient of restitution is:
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Alpha Question Bank for Engineering: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise - 2>Q 22

A particle of mass m strikes elastically with a disc of radius R, with a velocity v as shown in the figure. If the mass of the disc is equal to that of the particle and the surface of the contact is smooth, then the velocity of the disc just after the collision is:

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Alpha Question Bank for Engineering: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise - 2>Q 23
A wagon filled with sand has a hole so that sand leaks through the bottom at a constant rate λ. An external force F →acts on the wagon in the direction of motion. Assuming instantaneous velocity of the wagon to be v→ and initial mass of system to be m0, the force equation governing the motion of the wagon is:
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Alpha Question Bank for Engineering: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise - 2>Q 24
A balloon having mass m is filled with gas and is held in hands of a boy. Then suddenly it get released and gas starts coming out of it with a constant rate. The velocity of the ejected gases is also constant 2 m s-1 with respect to the balloon. Find out the velocity of the balloon when the mass of gas is reduced to half (neglect gravity and buoyant force).
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Alpha Question Bank for Engineering: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise - 2>Q 25
A shell of mass 100 kg is fired horizontally from a cannon having a mass of 5 × 103 kg. The kinetic energy of the shell at the end of the barrel is 7.5 × 106 J. The kinetic energy imparted to the cannon due to recoil is: