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. 1 m/s
B. 10m/s
C. 25 `ms^(-1)`
D. 500 `ms^(-1)`

Answer

C

Explanation

`v_(1) = 10 m//s, m_(1) = 10 kg, 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)`
`=10 xx 10 = 9 xx 0 + 1 xx v rArr v= 100 m//s`