A bomb of mass 50 kg at rest explodes into two pieces of masses 40 kg and 10 kg. The velocity of bigger pieces is zero then velocity of smaller piece is ………. `ms^(-1)`.

Options

A. 10
B. 50
C. 40
D. 0

Answer

B

Explanation

`mv=m_(1)v_(1)+m_(2)v_(2)`
`therefore 50(10)=40xx0+10xxv_(2)`
`therefore 500=10v_(2)`
`therefore v_(2)=50m//s`