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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 ba...

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

A

480 N

B

600 N

C

500 N

D

400 N

Answer

480 N

Explanation

Solution

v1=12m/sv_{1} = - 12m/s and v2=+20m/sv_{2} = + 20m/s [because

direction is reversed]

m=150gm=0.15kgm = 150gm = 0.15kg, t=0.01sect = 0.01\sec

Force exerted by the bat on the ball

F=m[v2v1]t=0.15[20(12)]0.01F = \frac{m\lbrack v_{2} - v_{1}\rbrack}{t} = \frac{0.15\lbrack 20 - ( - 12)\rbrack}{0.01} = 480 Newton