A ball of mass 0.15 kg hits the wall with its initial speed of 12 ms-1 and bounces back without changing its initial speed. If the force applied by the wall on the ball during the contact is 100 N calculate the time duration of the contact of ball with the wall.

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A ball of mass 0.15 kg hits the wall with its initial speed of 12 ms^-1 and bounces back without changing its initial speed. If the force applied by the wall on the ball during the contact is 100 N calculate the time duration of the contact of ball with the wall.

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0.009 s

0.072 s

0.036 s

0.018 s

answer is B.

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Detailed Solution

$\begin{array}{l} {\vec{P}}_{i} = 0 .15 \times 12 (\hat{i}) \\ {\vec{P}}_{f} = 0 .15 \times 12 (- \hat{i}) \\ | \vec{ΔP} | = 3 .6 kg - m / s \\ 3 .6 = FΔt \\ 3 .6 = 100 Δt \\ Δt = 0 .036 \sec \end{array}$