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A shell of mass m moving with velocity v...

A shell of mass m moving with velocity v suddenly breaks into 2 pieces. The part having mass m /4 remains stationary. The velocity of the other shell will be

A

`2v`

B

`v`

C

`3/4v`

D

`4/3v`

Text Solution

Verified by Experts

The correct Answer is:
D
This is a perfectly inelastic collision.
`therefore ` In this case only linear momentum is conserved.
`therefore m_1 u_1 +m_2 u_2 =(m_1 + m_2) v`
`therefore 25 xx 10^(-3) xx 400 + 4.975 xx 0 =(4.975 + 0.025)v `
`therefore 10=5v therefore v=2 ` m/s
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