Web Analytics

How would I solve this equation for mass (m)?

F = (Gm^2)/d^2


I know the answer is m = sqrt [(Fd2)/G]

I'm just not sure how to get to that answer


(I had originally posted this in the physics section but hope I could get more out of this in the math section.)

Verified Answer :

Simple...

you have: \(F= \frac{G m^{2} }{ d^{2} }\)

You want to find m-->>>

1.)Isolate m

\(d^{2} *F= \frac{G m^{2} }{ d^{2} } * d^{2}\)

Leaving you with...

F*\(d^{2}\)=\(G m^{2}\)

Keep isolating m-->>>

\(F* d^{2} =G m^{2}\)

\(\frac{F* d^{2} }{G} = \frac{G m^{2} }{G}\)

Square root to solve what just m is-->>>

\(\sqrt{ \frac{F* d^{2} }{G} } = \sqrt{ m^{2} }\)

=\(\sqrt{ \frac{F* d^{2} }{G} } =m\)

That is how you solve for m...

Thus, your answer.