Question

what is the formula of gravity?

Answer 1

f=g* is the formula of gravity

Answer 2

Question:

What is gravity ?

$\boxed{\green{\sf\blue{Gravity:}}}$

➵ Gravity is a force which attracts anything towards the centre of the earth.

Example :- Attraction of meteors to the earth.

$\boxed{\green{\bf\blue{Law\:of\: gravitation:}}}$

➵ Every object in the universe attracts every other object with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. the force is along the line joining the centres of two objects.

Formula :

$\pink{\boxed{\green{\sf\red{F= G \dfrac{m_1m_2}{d²}}}}}$

Formula Derivation:

➵ Let, two objects A and B of masses M and m at a Distance d as shown in the figure. Let the force of attraction between two objects be F .According to the universal law of gravitation the force between two object is directly proportional to the product of their masses.That is,

$\boxed{ \red{ \bf \: F\propto M\times m}}\:-----(1)$

➵ And the force between two object is inversely proportional to the the square of the distance between them , That is,

$\boxed{ \red{ \bf \: F\propto \frac{1}{d^{2}}}} \:-----(1)$

➵ Combining equation 1 and 2 ,

$\implies \boxed{ \red{ \bf \:F = G \: \frac{M \times m}{d ^{2}}}}$

➵ Where G is the constant of proportionality and is called the universal gravitation constant.