First slide

Second law

Question

A ball of mass 400 gm is dropped from a height of 5m. A boy on the ground hits the ball vertically upwards with a bat with an average force of 100N so that it attains a vertical height of 20m. Find the time for which the ball remains in contact with the bat

Moderate

A

0.12s
B

0.24s
C

0.36s
D

0.48s

Solution

$\large F = \frac{{m\left( {\sqrt {2g{h_1}} + \sqrt {2g{h_2}} } \right)}}{t}$
$\large t = \frac{{0.4\left( {\sqrt {2 \times 10 \times 5} + \sqrt {2 \times 10 \times 20} } \right)}}{{100}}$
$\large t = \frac{{0.4\left( {10 + 20} \right)}}{{100}} = \frac{{12}}{{100}} = 0.12s$

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