Question

Assertion(A): The gravitational force between two mases can be zero at some point between them. Reason(R): Gravitational force is a vector quantity, and forces due to two masses can cancel each other at some point.

Gravitational Force Between Two Objects Two objects, m1 = 12 kg and m2 = 8 kg, are placed at a distance of 3 meters apart. The gravitational force F between the two objects is given by Newton's law of gravitation: F = G m1m2/r2 where G = 6.67 x 10-11 Nm2kg-2. The table shows the gravitational force between the two objects at various distances: Distance (m) | Gravitational Force (N) 3 | 7.11 x 10-10 2 | 1.60 x 10-9 1 | 6.66 x 10-9

Variation of graph with altitude The following graph shows how the gravitational acceleration g varies with altitude h from the surface of the earth.

The gravitational force of attraction between two mass m₁ and m₂ kept at a distance r from each other is F. What will be the gravitational force if m₁ is doubled, m₂ is halved and the distance between them is made thrice?