A cricket ball of mass 150 gm is moving with a velocity of 12 m/s and is hit by

Question

A cricket ball of mass 150 gm is moving with a velocity of 12 m/s and is hit by a bat so that the ball is turned back with a velocity of 20 m/s. The force of blow acts for 0.01s on the ball. The average force exerted by the bat on the ball is

Options:

A . 480 N

B . 600 N

C . 500 N

D . 400 N

Answer: Option A
:
A

v_{1} = - 12

m\s and

v_{2} = + 20

m/s [because direction is reversed]

m = 150 g m = 0.15 k g, t = 0.01 s e c

Force exerted by the bat on the ball

F = \frac{m [v_{2} - v_{1}]}{t} = \frac{0.15 [20 - (- 12)}{0.01}] = 480 N e w t o n

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