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?

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Editor">Editor Staff asked 1 year ago

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?
 
(a) Same height as ball B
 
(b) Twice as high height as ball B
 
(c) Thrice as high height as ball B
 
(d) Four times as high height as ball B
 
This question was posed to me in a national level competition.
 
My doubt stems from Potential Energy topic in division Work, Energy and Power of Physics – Class 11
Select the correct answer from above options 
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Editor">Editor Staff answered 1 year ago

The correct choice is (c) Thrice as high height as ball B
 
Explanation: 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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