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Work, Energy And Power

Question
CBSEENPH11017321

A body P moving with velocity 10m/s strikes elastically with another body Q moving in the opposite direction with speed 12m/s. The body P after collision rebounds with velocity 9m/s. Find the velocity of Q.

Solution

Given, 
Velocity of body P, straight u subscript straight p equals 10 space straight m divided by straight s,     
Velocity of body Q, straight u subscript straight Q equals negative 12 straight m divided by straight s  
Velocity of body P, space straight v subscript straight p equals negative 9 straight m divided by straight s,
Velocity of body Q, straight v subscript straight Q = ?

We know that relative velocity of approach is equal to relative velocity of separation, 
i.e.        space space space straight u subscript straight p minus straight u subscript straight Q equals straight v subscript straight Q minus straight v subscript straight P 
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That is,
                       straight v subscript straight Q equals plus 13 straight m divided by straight s