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Work, Energy And Power

Question
CBSEENPH11017323
Wired Faculty App

A body is dropped from height h1 and it rebounds to height h2.Find the coefficient of restitution.

Solution
Given, a body is dropped from a height h1. 
Let v1 be the velocity of the ball just before it hits the plane. 
∴         straight v subscript 1 superscript 2 minus 0 squared equals 2 gh subscript 1   
rightwards double arrow             straight v subscript 1 equals square root of 2 gh subscript 1 end root 
Let the ball rebound with velocity straight v subscript 2. 
As it attains the height straight h apostrophe comma 
∴        0 squared minus straight v subscript 2 superscript 2 equals 2 gh subscript 2   
rightwards double arrow            straight v subscript 2 equals square root of 2 gh subscript 2 end root 
Now the coefficient of restitution is given by, 
              straight e equals straight v subscript 2 over straight v subscript 1 
∴            straight e equals square root of straight h subscript 2 over straight h subscript 1 end root, is the coefficient of restitution. 

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