Consider 2 balls A and B of the same mass. The potential energy of ball A is thrice that of ball B. How high is ball A compared to ball B?

# Consider 2 balls A and B of the same mass. The potential energy of ball A is thrice that of ball B. How high is ball A compared to ball B?

1. A

Twice as high height as ball B

2. B

Same height as ball B

3. C

Four times as high height as ball B

4. D

Thrice as high height as ball B

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### Solution:

PEA = (m x g x h)A

PEB = (m x g x h)B

mA = mB = m

gA = gB = g

PEA = 3 x PEB

mA x gA x hA = mB x gB x hB x 3

m x g x hA = m x g x hB x 3

hA = 3 x hB

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