Derivation of Potential energy
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Potential energy of a body is the work done to take the body to that height.Suppose a body of mass "m" is is raised to a distance "h".The force acting on a body is the gravitational pull of the earth(i.e.)m*g which acts downward to lift the body above the surface area of the earth.In this condition,we have to do the work against gravity.
Work done = F*s
Work done = mg*h
Work done = mgh
Potential energy = mgh (or) m*g*h
Hence,the work is stored up in the form of potential energy.
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