A shell of mass 10 kg is moving with a velocity with a velocity of `10ms^(-1)` when it blasts and forms two parts of mass 9 kg and 1 kg respectively. If the 1st mass is stationary, the velocity of the 2nd is

Options

A. `1ms^(-1)`
B. `10ms^(-1)`
C. `100ms^(-1)`
D. `1000ms^(-1)`

Answer

C

Explanation

Given that
`v_(1)=10m//s" "m_(1)=10kg`
`v_(2)=0" "m_(2)=9kg`
`v_(3)=v" "m_(3)=1kg`
According to conservation of momentum
`m_(1)v_(1)=m_(2)v_(2)+m_(3)v_(3)`
`10xx10=9xx0+1xxv`
`v=100m//s`