Question

Find the expression of acceleration due to gravity at a height h above the surface of the earth

Answer 1

I hope it helps.........

Answer 2

Explanation:

The formula for the acceleration due to gravity on the surface of Earth is given by :

$g=\dfrac{GM}{R^2}$ .......(1)

G is universal gravitational constant

M is mass of earth

R is radius of Earth

Let g' is the acceleration due to gravity at a height h above the surface of Earth. So,

$g'=\dfrac{GM}{(R+h)^2}$ ......(2)

Dividing equation (1) and (2) we get :

$\dfrac{g}{g'}=\dfrac{\dfrac{GM}{R^2}}{\dfrac{GM}{(R+h)^2}}\\\\g'=\dfrac{gR^2}{(R+h)^2}$

Hence, this is the expression for the acceleration due to gravity at a height h above the surface of Earth.

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