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Earn 100

A sphere P of mass m and velocity vi undergoes an oblique and perfectly elastic collision with an identical sphere Q initially at rest. The angle θ between the velocities of the spheres after the collision shall be:-

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Important Questions on Centre of Mass, Momentum and Collisions

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IMPORTANT
A ball is dropped from a height of 10 m. If 40% of its energy is lost on collision with the earth then after the collision the ball will rebound to a height of-
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A bullet of mass m is fired into a large block of wood of mass M with velocity v. The final velocity of the system is :-
MEDIUM
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A big ball of mass M, moving with velocity u strikes a small ball of mass m, which is at rest. Finally, a small ball attains velocity u and a big ball v. What is the value of v:-
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A particle of mass m moving with speed v towards east strikes another particle of same mass moving with same speed v towards north. After striking, the two particles fuse together. With what speed this new particle of mass 2 m will move in north-east direction? 
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Two ice skaters A and B approach each other at right angles. Skater A has a mass 30 kg and velocity 1 m s-1 and skater B has a mass 20 kg and velocity 2 m s-1. They meet and cling together. Their final velocity of the couple is:
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A ball moving with velocity 2 m s-1 collides head-on with another stationary ball of double the mass. If the coefficient of restitution is 0.5, then their velocities (in m s-1 ) after collision will be