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Question

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


A
2m2ghcosθ
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B
2mghcosθ 
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C
2m2ghsinθ
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D
2m2gh
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Solution

The correct option is A 2m2ghcosθ
Speed of ball just before the collision u=2gh
Collision is elastic hence, e=1
e=(Velocity of seperationVelocity of approach)along line of impact


 e=vucosθ
 v=eucosθ=ucosθ    e=1

Here, v is the velocity component of ball just after collision along line of impact.
Impulse J=ΔP=mv(m ucos θ)
 ΔP=mucosθ+mucosθ
 J=ΔP=2mcosθ2gh

Physics

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