Question

Acceleration due to gravity below the surface of earth derivation

Answer 1

Answer:

hii Any object affected only by gravity (a projectile or an object in free fall) has an acceleration of -9.81 m/s2, regardless of the direction. The acceleration is negative when going up because the speed is decreasing. The acceleration is negative when going down because it is moving in the negative direction, down.

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.

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