A ball of mass m hits a floor with a speed v making an angle of incidence θ with the normal . The coefficient of restitution is ‘e’. The speed of the reflected ball and the angle of reflection of the ball are
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a
vsin2θ+e2cos2θ ,tan-1tanθe
b
2vsin2θ+e2cos2θ ,tan-1tanθe
c
2vsin2θ+e2cos2θ ,tan-1tanθ2e
d
vsin2θ+e2cos2θ , tan-1tanθ2e
answer is A.
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Detailed Solution
After collision components of velocity v′ are vsinθ and evcosθ. ∴v′=vsinθ2+evcosθ2 and tanβ=vsinθevcosθ=tanθe