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Q.

A ball of mass 10 gm dropped from a height of 5 m hits the floor and rebounds to a height of 1.25 m. If the ball is in contact with the ground for 0.1s, the force exerted by the ground on the ball is (g = 10 m/s2)

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a

0.15 N

b

2.5 N

c

1.5 N

d

0.5 N

answer is B.

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Detailed Solution

The velocity the ball hits the ground u=2g5=10m/s

The velocity the ball rebounds from the ground v=2g(1.25)=5m/s

The impulse imparted on the ball is J=10-2(15)=0.15kgms-1

The force acting will be F=Jt=0.150.1=1.5N

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