If g is the acceleration due to gravity on the earth’s surface, the gain in the potential energy of an object of mass m raised from the surface of the earth to a height equal to the radius R of the earth, is

If g is the acceleration due to gravity on the Earth’s surface, the gain in potential energy of an object of mass m, when raised from the surface of the Earth to a height equal to the Earth’s radius R, can be calculated by considering the change in gravitational potential energy. The potential energy at the Earth’s surface and at the height R are compared, and the difference gives the gain in potential energy. This results in a gain of half the product of the object’s mass, gravitational acceleration, and the radius of the Earth.

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