what do you understant by gavitational protential energy of body. derive expression for it
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Gravitational potential energy is the energy possessed or acquired by an object due to a change in its position when it is present in a gravitational field. In simple terms, it can be said that gravitational potential energy is an energy which is related to gravitational force or to gravity.
If a body is taken from the surface of the earth to a point at a height ‘h’ above the surface of the earth, then ri = R and rf = R + h then,
ΔU = GMm [1/R – 1/(R+h)]
ΔU = GMmh/R(R + h)
When, h<<R, then, R + h = R and g = GM/R2.
On substituting this in the above equation we get,
Gravitational Potential Energy ΔU = mgh
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