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Question

# Two boys are playing with a ball on a levelled ground. Boy A throws the ball to height of 5 m and boy B throws to height of 7 m from the ground level. The ratio of the work done by A to B is ________.

A

1: 1

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B

2: 3

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C

5: 7

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D

3: 2

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Solution

## The correct option is C 5: 7 Let mass of ball be m. Acceleration due to gravity g. Height attained by the ball thrown by A is 5 m. Height attained by the ball thrown by B is 7 m. The ratio of work done by both the boys is the respective change in gravitational potential energies of the ball. Work done by A = 5mg Work done by B = 7mg The ratio of the work done by A to B = 5mg7mg=5 : 7

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