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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.

Respuesta :

Answer:

Force will will become 9 times the previous value

Explanation:

Let the mass of earth is [tex]M_E[/tex] , mass of sun is [tex]M_S[/tex] and distance between them is R

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

[tex]F=\frac{GM_EM_S}{R^2}[/tex] , 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 [tex]F_{new}=3\times 3=9F[/tex]

So force will will become 9 times the previous value

Answer:

9 times

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

[tex]F = G\frac{M_{s}M_{e}}{R^{2}}[/tex]

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

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