A ball collides with a wall and after collision moves parallel to the wall as shown in the figure. The impulse acting on the ball during the collision is

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$m v_{0} (- \frac{3}{5} \hat{i} - \frac{1}{10} \hat{j})$

$m v_{0} (- \frac{3}{5} \hat{i} - \frac{1}{5} \hat{j})$

${mv}_{0} (- \frac{4}{5} \hat{i} - \frac{1}{5} \hat{j})$

${mv}_{0} (- \frac{4}{5} \hat{i} - \frac{1}{10} \hat{j})$

answer is A.

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Detailed Solution

${\vec{P}}_{f} = \frac{m v_{0}}{2} \hat{j}$

${\vec{P}}_{i} = \frac{4}{5} m v_{0} \hat{i} + \frac{3}{5} m v_{0} \hat{j}$

Impulse acting on ball

$\vec{J} = {\vec{P}}_{f} - {\vec{P}}_{i}$

$∴ \vec{J} = {mv}_{0} (- \frac{4}{5} \hat{i} - \frac{1}{10} \hat{j})$

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