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Question

# A ball of mass 1 kg moving with a velocity of 5 m/s collides elastically with rough ground at an angle θ with the vertical as shown in figure. What can be the minimum coefficient of friction if ball rebounds vertically after collision? (given tan θ=2)

A
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B
1
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C
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D
5
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Solution

## The correct option is B 1Given,m=1kgtanθ=2From free body diagram,Impulse momentum theorem,∫Ndt=m(v+5cosθ). . . . . . . . .. .(1)∫fdt=m5sinθμ∫Ndt=5msinθμm(v+5cosθ)=5msinθ. . . . . .(2)According to newton's law of restitution,v=35cosθBy solving the above, we get,μ=1The correct option is B.

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