the total energy of an object remains
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in any physical process, the total amount of energy summed over all its forms must remain constant. ... We will see that its energy is made of two pieces: the kinetic energy which is determined by the speed of the object, and the gravitational potential energy which is determined by the height of the object.
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The total amount of energy summed over all its forms must remain constant over entire time of object's fall. If we now multiply the above by the object's mass M, this defines the energy E. which is constant over the entire time of the object's fall.
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