Question #128714

Determine the coefficient of restitution e between ball A and ball B the velocities of A and B before and after collision are shown. A=8m/s moving forward and B=2m/s moving backward before collision and A=1m/s moving forward and B=9m/s moving forward after collision.

Expert's answer

According to question

before collision

speed of ball A, say u_{1}=8m/s

speed of ball B, say u_{2}=2m/s

After collision

speed of ball A, say v_{1=}1m/s

speed of ball B,say v_{2}=9m/s

cofficient of restitution say e,

e="\\frac {v_{2}-v_{1}}{u_{1}-(-u_{2})}"

= "\\frac {9-1}{8-(-2)}" { u_{2 }is negative because initially ball is moving backwards}

= "\\frac {8}{10}"

=0.8

Therefore the cofficient of restitution is 0.8

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