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How far up a staircase does a man of mass ${85}{kg}$ need to go to gain ${10000}{J}$ of GPE?
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Gravitational Potential Energy (GPE) = m x g x h

m = Mass

g = Acceleration due to gravity (Earth's gravitational pull =  9.80665 m/s^2)

h = height

∴ 10000 J = 85kg x 9.80665 m/s^2 x h

∴ h = 10000 J / 85kg x 9.80665 m/s^2

∴ h = 11.996 m

∴ The man has to go up a staircase of approximately 12m high.

by Wooden (698 points)
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GPE = 10000J m = 85 kg g = 9,80665 h =? GPE = mgh 10000 = 85 x 9,8665 x h 10000 =833,56525h 10000/833,56525 = h h = 1,2m
by Wooden (310 points)

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