Question

If the masses of the Earth and the Sun were each multiplied by 3 without changing the distance between them, the gravitational force between the two bodies would be ______ the present gravitational force between them.

Answer 1

9 times

Step-by-step explanation:

Let the mass of sun is Ms and the mass of earth is Me. The distance between them is R .

The gravitational force between the two is given by

`F = G(M_(s)M_(e))/(R^(2))`

As both the masses is multiplied by 3, and the distance between them remains same, then the force becomes 9 times.

Answer 2

Force will will become 9 times the previous value

Step-by-step explanation:

Let the mass of earth is
`M_E` , mass of sun is
`M_S` and distance between them is R

From law of gravitation force between sun and earth is given by

`F=(GM_EM_S)/(R^2)` , here G is gravitational constant

From the relation we can see that gravitational force is proportional to mass of them

And in question it is given that mass of both is multiplied by 3

So new force will be equal to
`F_(new)=3* 3=9F`

So force will will become 9 times the previous value