Question

Question :-

➠ Derive expression for force of attraction between two bodies and then define gravitational constant.​

Answer 1

Question :-

➠ Derive expression for force of attraction between two bodies and then define gravitational constant.

Answer:-

Let two objects A and B of masses M and m lies at a distance d from each other as seen in attachment. Let the force of attraction between two objects be F .

According to the universal laws of gravitation,

=> The force b/w two objects is directly proportional to the product of their masses ( F # M×m ).

=> The force b/w two objects is inversely proportional to the square of the distance between them ( F # 1/d^2 ).

Combining both equation,

=>F # M×m/(d)^2.

=>F=G {(M×m)/d^2}.

where, G is the constant of proportionality and is called universal gravitational constant.

=>F×d^2=G (M×m).

=> G=(F×d^2)/(M×m).

Hope it will help you.