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Q.

A ball moving with a velocity v hits a massive wall moving towards the ball with a velocity u. An elastic impact lasts for time Δt.

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a

The average elastic force acting on the ball is [m(u+v)]/Δt.

b

The average elastic force acting on the ball is [2m(u+v)]/Δt.

c

The kinetic energy of the ball increases by 2mu(u+v).

d

The kinetic energy of the ball remains the same after the collision.

answer is B.

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Detailed Solution

In an elastic collision: vsep =vapp or  v′−u=v+u or v′=v+2uChange in momentum of ball is       pf−pi=m−v′−mv=mv′+v=2m(u+v)Average force is ΔPΔt=2m(u+v)ΔtChange in KE, Kf−Ki=12mv′2−12mv2=2mu(u+v)
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