Block `m_(1)` is projected on a long plank of mass `m_(2)` plank is placed on a smooth horizontal surface. There is friction between block and plank, coefficient of friction is mu. Block `m_(1)` has initial velocity `v_(01)` and plank has initial velocity `v_(02)` with `(v_(01) gt v_(02))`. Which of following graphs is correct.

Options

A.
B.
C.
D.

Answer

C

Explanation

Eventually block and plank acquire common velocity velocity `v_(01)` decreases and `v_(02)` increases. Acceleraton plank `=(mu_(k)m_(1)g)/m_(2)`
Acceleration of block `=-mu_(k)g`
Acceleration of both blocks becomes zero simultaneously.