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Question

State universal law of gravitation and derive the expression for force between two objects of mass $$m_1$$ and $$m_2$$ separated by a distance 'd'.


Solution

Universal Law of Gravitation : It states that the force of attraction between two
bodies is directly proportional to the
product of their masses and inversely proportional to the square of the
distance 
between them. 

Let the two bodies 'A' and 'B' be of masses 'M' and 'm' respectively,
which are separated by a distance According
to Universal Law of Gravitation,

$$F=\dfrac{GM\ m}{r^2}$$

Where, 'G' is called universal gravitation constant.

The numerical value of$$G=6.67\times { 10 }^{ -11 }Nm²kg².$$

Physics

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