A ball is given a velocity `v` and angular velocity such that the ball rolls purely on a plank whose upper surface is rough enough to prevent slipping but lower surface contact with the ground is smooth. No other force is acting on system.

Options

A. The plank will recoil back.
B. The plank will also move forward but with a lesser velocity than that of the ball.
C. The plank will also move forward but with a lesser velocity than that of the ball.
D. The plank will remain at rest.

Answer

D

Explanation

Since `v_("point of contact")=0,` no friction acts between ball and plank
No impulse acts on plank or ball.