# How the value of g changes with the height of earth surface explain with derivation.

### Asked by yashwantjain12 | 7th Dec, 2015, 11:21: AM

Expert Answer:

### Let A be the point on the surface of the Earth and B be the point at an altitude h.
Let M be the mass of the Earth and R be the radius of the Earth.
Consider the Earth as a spherical shaped body.
The acceleration due to gravity at point A on the surface of the Earth is,
Let the body be placed at B at a height h from the surface of the Earth.
The acceleration due to gravity at B is,
Dividing eqn (1) by (2), we get,
The value of acceleration due to gravity decreases with increase in height above the surface of the Earth.

### Answered by Faiza Lambe | 8th Dec, 2015, 12:05: AM

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