Question

derive the formula for the calculation of the gravitational force exerted by a body of mass M1 and another body of mass M2 separated by a distance d​

Answer 1

NEWTON'S LAW OF GRAVITATION:

Newton's Law of Gravitation states that :

• Gravitational force between two bodies is directly proportional to the product of their masses.

• Gravitational force is inversely proportional to the square of the distance between the masses.

From the statements:

$\sf{force \: \propto \: \dfrac{(m1)(m2)}{ {d}^{2} } }$

Putting a constant named as Universal Gravitational Constant:

$\sf{force \: = \: \dfrac{G(m1)(m2)}{ {d}^{2} } }$

Hence final expression:

$\red{ \boxed{ \blue{ \large{ \rm{force \: = \: \dfrac{G(m1)(m2)}{ {d}^{2} } }}}}}$

Answer 2

Answer:

force = G(m1)(m2)

________

d²

Explanation:

NEWTON'S LAW OF GRAVITATION:

Newton's Law of Gravitation states that:

• Gravitational force between two bodies is directly proportional to the product of their masses.

• Gravitational force is inversely proportional to the square of the distance between the masses.

From the statements:

force xx

(m1)(m2) d²

Putting a constant named as Universal Gravitational Constant:

force =

G(m1)(m2)

d²

Hence final expression:

force

G(m1)(m2)

d²