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Question

# Two boys were playing with the same ball on a level ground. One of the boys throws the ball on the third floor of the building which is at a height of 5 m and the other boy manages to throw on the fourth floor which is at a height of 7 m from the level ground. Then the ratio of the potential energy gained by the ball in both cases 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 the mass of the ball be m and heights be h1 = 5 m and h2 = 7 m Taking the ground level as the reference, In the first case, the gain in gravitational potential energy ball would be = m×g×h1 and for the other, it would be = m×g×h2 The ratio of the potential energy would be equal to: m×g×5m×g×7=5 : 7

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