Question

-
5
equation
of
acceleration
due
Derive the
to gravity,
G = GM​

Answer 1

Answer:

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.

Acceleration Due to Gravity (g)

Symbol g

Dimensional Formula M0L1T-2

SI Unit ms-2

Formula g = GM/r2

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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.

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