A rock at the edge of a 200-m high cliff has more potential energy than an equal sized rock at the edge of a 600-m high cliff. True or False

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Accepted Answer

Answer: The given statement is False.Explanation:Potential energy is defined as the energy possessed due to the height of the object.Mathematically,[tex]E_p=mgh[/tex]where,[tex]E_p[/tex] = potential energy of the rockm = mass of the rock g = acceleration due to gravity = [tex]9.8m/s^2[/tex]h = height of the cliff from where the rock is thrownWhen height of the cliff is 200 mPutting values in above equation, we get:[tex]E_p=m\times 9.8\times 200m\\\\E_p=1960m[/tex]When height of the cliff is 600 mPutting values in above equation, we get:[tex]E_p=m\times 9.8\times 600m\\\\E_p=5880m[/tex]So, [tex]E_p(60m)>E_p(200m)[/tex]Potential energy of the rock at 600-m high cliff is more than the potential energy of the rock at 200-m high cliffHence, the given statement is False.

Suggested Answer

It is false. The higher an object is the more potential energy they have.

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