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pls derive mgh in physics
Asked by foodonly742 | 02 Jan, 2024, 11:06: AM

The term  ' m g h ' is gravitational potential energy of mass m at a height h above earth surface or above some reference level.

Gravitational potential energy U(r) of a mass m is

where G is universal gravitational constant , M is mass of earth  and r is distance of mass m from center of earth.

Gravitational potential energy U(R) of a mass m on earth surface is

............................ (1)

Gravitational potential energy U(R+h) of a mass m at a height h above earth surface is

If we take earth's surface as reference , then potential energy of mass m at a height h above earth surface is

By neglecting (h/R)2 and higher powers , we get

where  ( G M )/R2 is acceleration due to gravity g on earth surface .

hence potential energy of mass m at a height h above earth surface = m g h .

Answered by Thiyagarajan K | 02 Jan, 2024, 03:17: PM

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