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A ball of mass 5 kg moving velocity 3m//...

A ball of mass 5 kg moving velocity `3m//s` impinges direction on another ball of mass 2 kg moving with velocity `0.5m//s` towards the first ball. Find the velocity after impact, if `e=(4)/(7)`

Text Solution

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By conservation of momentum
`m_(1)u_(1)+m_(2)u_(2)=m_(1)v_(1)+m_(2)v_(2)`
`5xx3+2(-0.5)=5v_(1)+2v_(2)`
`14=5v_(1)+2v_(2)`………(i)
By Newton's Law of collision `e=(v_(2)-v_(1))/(u_(1)+u_(2))=(v_(2)-v_(1))/(3-5)`
`v_(2)-v_(1)=(4)/(7)xx3.5=2m//s`........(ii)
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