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Question

A ball dropped from a height of 2mrebounds to a height of 1.5m after hitting the ground. Then, the percentage of energy lost is


A

25

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B

30

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C

50

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D

100

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Solution

The correct option is A

25


Step 1: Given data

Height from which ball is dropped, H=2m

Height to which ball rebound, h=1.5m

Step 2: Find the potential energy, P.E

Let mass of the ball is m

Potential energy at height H, P.E1=mgH

Potential energy at height h, P.E2=mgh

Step 3: Find the percentage loss in the potential energy

Loss in the potential energy, P.E=mg(H-h)

Percentage loss in the potential energy, %P.E=mg(H-h)mgH×100%

=mg(2-1.5)mg×2×100%=0.52×100%=25%

Hence, option (A) is correct.


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