Question

derive the equation for acceleration due to gravity ? calculate the value for g ?​

Answer 1

Answer:

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

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.

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