Three blocks A, B and C each of mass m are placed on a surface as shown in the figure. Blocks B and C are initialyy at rest. Block A is moving to the right with speed v. It collides with block B and stricks to it. The A-B combination collides elastically with block C. Which of the following statement is (are) true about the velocity, of block B and C.

Options

A. Velocity of the block C after collision is `2//3 v` towards right
B. Velocity of the `A-B` combination after collision is `(v)/(3)` towards left
C. Velocity of the `A-B` combination after collision is `(2)/(3) v` towards left
D. Velocity of the block C after collision is `(v)/(3)` towards right.

Answer

A

Explanation

`v_(1) = ((m_(1) - m_(2)))/((m_(1) + m_(2)))u_(1) + ((2m_(2))/(m_(1) + m_(2))) u_(2)`
`v_(2) = (2m_(1))/((m_(1) + m_(2))) u_(1) + ((m_(2) - m_(1))/(m_(1) + m_(2))) u_(2)`
for `C : c_(c ) = (2m u)/(3m) = (2)/(3)u`