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