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)