A ball is given a velocity \( v \) and angular velocity such that the ball rolls purely on a pla...

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A ball is given a velocity \( v \) and angular velocity such that the ball rolls purely on a plank whose upper surface is rough
\( \mathrm{P} \) enough to prevent slipping but lower surface in contact with

W the ground is smooth. No other force is acting on system.
(1) The plank will recoil back.
(2) The plank will also move forward but with a lesser velocity than that of the ball.
(3) The plank will also move forward but with a greater velocity than that of the ball.
(4) The plank will remain at rest.
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