What is the gravitational potential energy of a 61.2 kg person standing on the roof of a 10-story building relative to the tenth floor? (height = 25m)) (Each story is 2.50 m high)

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Zeekiblehhviz Zeekiblehhviz · Answer 1

Answer:

Gravitational Potential Energy = m⋅g⋅h

Explanation:

In your case, you can calculate the GPE at each height.

Starting at the top, m=61.2kg g=9.8ms2 h=3.5⋅10=35m

So, your max GPE is 61.2⋅9.8⋅35=20991.6 Joules

The next height is th 6th floor, so it is 3.5m⋅6=21m high

The GPE at 21 m on the 6th floor is 61.2⋅9.8⋅21=12594.96 J

So, the difference between the 10th and 6th floor is 20991.6−12594.96=8396.64 J

Repeat those calculations for the first floor, and you can compare GPE at each height and find the difference in GPE between any two floors