mathematical derivation of potential energy
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Explanation:
The formula for potential energy depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters. Notice that gravitational potential energy has the same units as kinetic energy, kg m2 / s2. In fact, all energy has the same units, kg m2 / s2, and is measured using the unit Joule (J).
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Answer:
Explanation:
Let us consider a body of mass m raised from the ground to the height h, the amount of work done against gravity is
W = F x h
But, F = mg, the weight of the body.
So, W = mgh
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