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Question

A tennis ball hits the floor with a speed v at an angle θ with the normal to the floor. If the collision is inelastic and the coefficient of restitution is ε, what will be the angle of reflection?


A
tan1[tan θε]
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B
sin1[sin θε]
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C
θε
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D
θ2εε+1
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Solution

The correct option is A tan1[tan θε]

Along horizontal direction momentum is conserved,
v sin ϕ=u sin θ___(1)
Along the vertical,
ε=v cos ϕu cos θ=(sin θsin ϕ)(cos ϕcos θ)ε=tan θtan ϕtan ϕ=tan θε
ϕ=tan1[tan θε]
 

Physics

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