11. How does the gravitational force between two objects depend on the distance between them? Explain your answer with reason. In which case the force of attraction will be larger? (i) Force of attraction of the earth on a body of mass 1 kg. (ii) Force of attraction of a body of mass 1 kg on the earth.
Answers
Gravitational force is inversely proportional to the square of the distance between the masses. More the distance, less the gravitational force; less the distance, more is the gravitational force. This is how gravitational force between two objects is dependent on the distance.
Answer:
The gravitational force between two objects is inversely proportional to the square of the distance between them.
Explanation:
From Newton's universal gravitational law:
F = G Mm / d²
Where F is the gravitational force, G is the universal gravitational constant, M and m are the masses of two different objects and d is the distance between them.
From the above equation, it is clear that the gravitational force is inversely proportional to the square of the distance between the objects.
The force of attraction will be the same in both cases. The force of attraction of the earth on a body of mass 1 Kg will be equal to the force of attraction of a body of mass 1 Kg on the earth.