A ball of `4 kg` mass moving with a speed of `3ms^(-1)` has a head on elastic collision with a `6 kg` mass initially at rest. The speeds of both the bodies after collision are respectively

Options

A. `0.6 ms^(-1), 24 ms^(-1)`
B. `-0.6 ms^(-1), -2.4 ms^(-1)`
C. `-0.6 ms^(-1), 2.4 ms^(-1)`
D. `-0.6 ms^(-1),-2.4 ms^(-1)`

Answer

`(3)`

Explanation

`vec v_(1) = (m_(1)- m_(2)/m_(1) + m_(2))vec u_(1) + (2m_(2)/m_(1) + m_(2)) vec u_(2)`
`vec v_(2) = (2m_(1)/m_(1) + m_(2)) vec u_(1) + (m_(2) - m_(1)/m_(1) + m_(2))vec u_(2)`