Question

What is gravitational acceleration ?
Derive the universal formula showing
the relation between g and G.​

Answer 1

Answer:

Gravitational acceleration: The acceleration which is produced in an object due to force of gravity is called gravitational acceleration.

Mathematically, law of gravitational acceleration can be written as:

g = G*M/R^2

where g is the gravitational acceleration, G is the universal gravitational constant, M is the mass of an object and R is the distance from its center.

Answer 2

The universal formula showing  the relation between g and G is, $a=\dfrac{GM}{R^2}$

Explanation:

The gravitational acceleration is defined as the acceleration with which the object exerts a force on another. The force of gravity is balanced by the force of gravitational. So,

$ma=\dfrac{GMm}{R^2}$

$a=\dfrac{GM}{R^2}$

Here,

G is the universal gravitational constant

M is the mass of the astronomical body

R is the radius of orbit

Hence, this is the required solution.

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Gravitational acceleration

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