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The force of gravity between two small masses A and B when placed very near each other is 3.24x10-7 N. What will the force between these objects be if both of their masses are doubled and the distance between them is tripled?

Respuesta :

Answer:

force between masses will be same as  [tex]3.24\times 10^{-7}N[/tex]

Explanation:

Let the masses are [tex]m_A\ and\ m_B[/tex] and distance between them is r

According to gravitational law force between two mass is given by

[tex]F=\frac{Gm_Am_B}{r^2}[/tex]

So [tex]3.24\times 10^{-7}=\frac{Gm_Am_B}{r^2}[/tex]

Now mass of both are doubled and distance between them is tripled

And now we have to find that from what factor the force between masses are changed

So [tex]F_{new}=\frac{G3m_A3m_B}{(3r)^2}=\frac{9Gm_Am_B}{9r^2}=\frac{Gm_Am_B}{r^2}=F[/tex]

So force between masses will be same as  [tex]3.24\times 10^{-7}N[/tex] as masses and distance between them both has the same effect

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