Questions
A ball is dropped from a height I on the ground. If the coefficient of restitution is e, the height to which the ball goes up after it rebounds for the nth time is
detailed solution
Correct option is A
Let v o be the velocity with which the ball strikes the earth first time and v n be the velocity after nth rebound. According to the definition of coefficient of restitution, we have e=V1V0=V2V1=V3V2=…=VnVn−1 Further en=v1v0×v2v1×v3v2×…×vnvn−1=vnv0 Here v0=2gh and vn=(2gH) ∴ en=2gH2gh=Hh or e2n=Hh or H=he2nTalk to our academic expert!
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A steel ball is released from a height of 27 m onto a fixed horizontal steel plate. On bouncing the ball rises to a height of 3 m. Then co-efficient of restitution is
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