Answer:
The force between the bodies is 3F.
Explanation:
we know that , according to Newton's law of gravitation :
[tex]F_G=\frac{Gm_1m_2}{r^2}[/tex]
where ,
- [tex]F_G[/tex] is the gravitational force
- [tex]G[/tex] is the universal gravitational constant
- [tex]m_1[/tex] is the mass of one object
- [tex]m_2[/tex] is the mass of the the other
- [tex]r[/tex] is the distance between the objects
Thus,
In the first case,
[tex]F_G_1=\frac{M*M}{d^2} = \frac{M^2}{d^2}[/tex]
In the second case,
[tex]F_G_2=\frac{M*3M}{d^2} = \frac{3M^2}{d^2}[/tex]
Diving both we get ,
[tex]\frac{F_G_2}{F_G_1} = \frac{\frac{3GM^2}{d^2} }{\frac{GM^2}{d^2}} \\\frac{F_G_2}{F_G_1}=3\\F_G_2=3F_G_1=3F[/tex]
Thus the force between the object becomes thrice.
Answer : The force between the bodies is 3F.
