Stationary bomb explodesinto three pieces. One piece of 2kg mass moves with a velocity of `8 ms ^(-1)` at right angles to the other piece of mass 1 kg moving. With a velocity of `12 ms^(-1)` . If the mass of the third piece is `0.5kg`, then its velocity is

Options

A. `10 ms^(-1)`
B. `20 ms^(-1)`
C. `30 ms^(-1)`
D. `40 ms^(-1)`

Answer

D

Explanation

`|(m_(1)v_(1))hat(i) +(m_(2)v_(2))hat(j)|= m_(3)v_(3)`
`rArr v_(3) = (sqrt((2xx8)^(2) + (1xx12)^(2)))/(0.5) = 40m//s`