Question

The magnitude of gravitational force of attraction between two point object is F.If the masses of each object and the distances between them are tripled,then the magnitude of new gravitational force between them.

Answer 1

The correct answer to the question will be F i.e the magnitude of gravitational force will be the same as that of before.

EXPLANATION:

Let us consider two objects which are separated by a distance R.

The masses of the two bodies are M and M ' respectively.

Hence, the gravitational force between two bodies will be calculated as -

                                    $F=\ G\frac{MM'}{R^2}$

Here, G is called as the universal gravitational force constant  and F is the gravitational force.

As per the question, the masses are tripled.

Hence, the new masses of the two bodies are 3M and 3M' respectively.

The separation distance is also tripled . Hence, the new separation distance will be 3R.

The magnitude of new gravitational force between them will be -

                                       $F'=\ G\frac{3M*3M'}{[3R]^2}$

                                              $=\ G\frac{9MM'}{9R^2}$

                                              $=\ G\frac{MM'}{R^2}$  

From above we see that the magnitude of new gravitational force is same as that of the previous value.

Hence, the magnitude of new gravitational force is F .