Question

Derive the equation F=GM1m2/R2 gravitatonal constant

Answer 1

The universal law of gravitation states that the force of attraction between two masses m 1 and m 2 separated by a distance r is directly proportional to the product of the masses and inversely proportional to the square of the distance between the masses.

That is,

F α m 1 m 2 

F α 1/r 2 

Or, F = Gm 1 m 2 /r 2 

Where, G is a constant called the universal gravitational constant and is equal to 6.67 × 10 -11 Nm 2 /kg 2

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Answer 2

Answer:

$F=\frac{G(m_1m_2)}{r^{2} }$

Explanation:

Given:

The gravitational constant, denoted by the letter G and present in the equation expressing Newton's law of gravitation, is a physical constant.

To find:

Derive the gravitational constant.

Solution:

The gravitational constant can be calculated using the Planck length, Planck time, and Planck mass in the conventional manner. The constant, which applies to waves, is derived from the electric force formula and represents a small loss of energy for each particle as an in-wave transitions to an out-wave.

According to the universal law of gravitation, the force of attraction between two masses $m_1$ and $m_2$ separated by a distance r is inversely and directly proportional to the square of the distance between the masses and directly proportional to the product of the masses.

Thus,

$F$ ∝ $m_1m_2$

$F$ ∝ $\frac{1}{r^{2} }$

The gravitational constant's SI unit is now listed below:

$6.67$×$10^{-11}Nm^{2} kg^{-2}$

Gravitational force=$F=\frac{G(m_1m_2)}{r^{2} }$

Define gravitational constant g

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