A ball of mass m moving with velocity $\overset{⇀}{u}$ = $u_{x}$ $\hat{i}$ + $u_{y}$ $\hat{j}$ hits a vertical wall of infinite mass as shown in the
figure. The ball slips up along the wall for the duration
of collision and there is friction between the ball and the
wall. Neglect the effect of gravity. Pick up the correct
alternative.

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The wall provides the ball with net impulse along the negative x-axis for the duration of collision.

The collision changes only the x-component of velocity of the ball

The collision changes only the y-component of velocity of the ball

The impulse provided by frictional force to the ball for the duration of collision cannot be neglected in comparison to impulse provided by normal reaction.

answer is D.

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Detailed Solution

The wall exerts an impulsive normal reaction N on the ball along negative x-direction. Hence wall also exerts a friction force $μ$ N on the ball in negative y-direction. Hence both x and y components of velocities are changed. Hence (4) is only correct choice.

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