The gravitational force between two objects is 3600N. What will be the gravitational force between the objects if the mass of each object is reduced to one-third of its original mass?

Respuesta :

400N:

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

So lets make the first Force F1 and the second force after the reduction F2:

[tex]F_{1} = G\frac{Mm}{r^{2} } \\[/tex]

One third each mass so:

[tex]F_{2} = G \frac{\frac{1}{3}M \frac{1}{3} m }{r^{2} }[/tex]

Pull out the constant:

[tex]F_{2} = \frac{1}{9} (G\frac{Mm}{r^{2} } )[/tex]

Now we can recognize that F1 equals all the stuff we have in parentheses so we can replace it!

[tex]F_{2} = \frac{1}{9} F_{1}[/tex]

Now plug in our value for F1 which is 3600N

[tex]F_{2} = \frac{1}{9} (3600)[/tex]

So:

F2 = 400N

Answer:

the answer is 400n

Explanation:

I just took the quiz I hope you pass