Question

How does value of gravitational acceleration change with the change in height from the earth

surface ? Also derive an expression for the value of gravitational acceleration at height h from the

earth surface .​

Answer 1

Answer:

The above acceleration is due to the gravitational pull of earth so we call it acceleration due to gravity, it does not depend upon the test mass. Its value near the surface of the earth is 9.8 ms-2. Therefore, the acceleration due to gravity (g) is given by = GM/r2.

Answer 2

Answer:

For an object placed at a height h, the acceleration due to gravity is less as compared to that placed on the surface. As depth increases, the value of acceleration due to gravity (g) falls. The value of g is more at equator and less at poles.

Values of g in CGS: 980 cm s-2

Values of g in SI: 9.806 ms-2

Formula: g = GM/r2

Explanation:

Its SI unit is m/s2. It has both magnitude and direction, hence, it's a vector quantity. Acceleration due to gravity is represented by g. The standard value of g on the surface of the earth at sea level is 9.8 m/s2.

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Acceleration Due to Gravity (g)

Symbol :g

Dimensional Formula: M0L1T-2

SI Unit: ms-2

Formula g = GM/r2

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