derive the expression for energy when ot depends on mass,acceleration,and height
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Since the force required to lift it is equal to its weight, it follows that the gravitational potential energy is equal to its weight times the height to which it is lifted. PE = kg x 9.8 m/s2 x m = joules. PE = lbs x ft = ft lb.
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Potential energy is the work done to take a body to a certain height. For a body with mass m, h is the distance to which it is raised and g is the gravitational force acting on the body, then work done W is given as:
W = force * displacement
W = mg * h
∴ W = mgh
As the work done is equal to mgh which is gained by the object, potential energy Ep is given as:
Ep = mgh
Therefore, the above is the derivation of potential energy.
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