Question

Plank m is on a frictionless surface. The block and plank are given initial velocity as shown in figure. Friction is present only between blocks. Find velocity of masses when slipping stops.

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

The net force acting on the system in the horizontal direction is zero. So linear momentum of the system can be conserved.

Let'V' be the velocity of masses when slipping stops

$\therefore$ Intial momentum = Final momentum

(2m) (2 $v_0$) + m ($v_0$) = (2m)V + (m) V

$\Rightarrow$ v = $\frac{5V_0}{3}$