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A particle of mass m, collides with anot...

A particle of mass m, collides with another stationary particle of mass M. If the particle m stops just after collision, then the coefficient of restitution for collision is equal to

A

`m/M`

B

`(M-m)/(M+m)`

C

`1`

D

`m/(M+m)`

Text Solution

Verified by Experts

The correct Answer is:
A
The particle of mass m moving with a velocity u , collides with a particle of mass M at rest . M stops after collision
`:'` Momentum before collision
= Momentum after collision
`:. "mu"+Mxx0=mxx0+Mv`
`:. V = ("mu")/(M) " " ...(i)`
The coefficient of restitution
`e=-((v_(2)-v_(1))/(u_(2)-u_(1)))`
Where `v_(2)=v,u_(2) =u_(1) and v_(1)=0`
`:. e = - ((v-0)/(0-u))=(v)/(u) = ("mu")/(Mu)=m/M`
`:. e = m/M`
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