Question

Derive an expression for the acceleration due to gravity

Answer 1

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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.

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Under the gravitational influence on two bodies, the mass in terms of mass is given by,

   FA = GMmA/r2,

   FB = GMmB/r2,

   mB = [FB/FA] × m. A

Explanation:

Answer 2

Answer :-

According to the gravitational law

$\sf F = \frac{GMm}{R^2}$ - i

According to Newton's second law of motion -

F = ma - ii

From equation i and ii :-

$\sf ma = \frac{GMm}{R^2}$

$\sf a = \frac{GM}{R^2}$

This a is known as acceleration due to gravity.

$\boxed{\sf a = g = \frac{GM}{R^2}}$