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.)

Respuesta :

Simple...

you have: [tex]F= \frac{G m^{2} }{ d^{2} } [/tex]

You want to find m-->>>

1.)Isolate m

[tex] d^{2} *F= \frac{G m^{2} }{ d^{2} } * d^{2} [/tex]

Leaving you with...

F*[tex] d^{2} [/tex]=[tex]G m^{2} [/tex]

Keep isolating m-->>>

[tex]F* d^{2} =G m^{2} [/tex]

[tex] \frac{F* d^{2} }{G} = \frac{G m^{2} }{G} [/tex]

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

[tex] \sqrt{ \frac{F* d^{2} }{G} } = \sqrt{ m^{2} }[/tex]

=[tex] \sqrt{ \frac{F* d^{2} }{G} } =m[/tex]

That is how you solve for m...

Thus, your answer.
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