Acceleration Due To Gravity Above The Surface Of Earth

Let a body of mass m lying on the surface of the earth of mass M and radius R. As we know that acceleration due to gravity at the surface of the earth

Acceleration Due To Gravity Above The Surface Of Earth
Acceleration Due To Gravity Above The Surface Of Earth

Let the body is taken to a height h above the surface of the Earth where the value of the acceleration due to gravity is

Acceleration Due To Gravity Above The Surface Of Earth
Acceleration Due To Gravity Above The Surface Of Earth
Acceleration Due To Gravity Above The Surface Of Earth
Acceleration Due To Gravity Above The Surface Of Earth
Acceleration Due To Gravity Above The Surface Of Earth
Acceleration Due To Gravity Above The Surface Of Earth

From the above equation we note that if h increases, gh must decreases because g is constant.

Thus, The value of acceleration due to gravity decreases with the increase in height above the surface of the earth.

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