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Q.

A ball falls vertically onto a floor with momentum p and then bounces repeatedly. If coefficient of restitution is e, then the total momentum imparted by the ball to the floor is

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a

p1+e1−e

b

p1−e1+e

c

p1−e

d

p(1+e)

answer is D.

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Detailed Solution

ΔP1=(1+e)PΔP2=(1+e)eP

And so on,

Question Image

ΔPTotal =ΔP1+ΔP2=(1+e)P1+e+e2+…=1+e1−eP

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A ball falls vertically onto a floor with momentum p and then bounces repeatedly. If coefficient of restitution is e, then the total momentum imparted by the ball to the floor is