Question

How do u solve F=G(m1m2/d2) solve for m1

Answer 1

`m_1=(Fd^2)/(Gm_2)`

Explanation:

We are given that
`F=G(m_1m_2)/(d^2)`

We have to solve for
`m_1`

Divide by G on both sides then we get

`(F)/(G)=(m_1m_2)/(d^2)`

Multiply by
`d^2` on both sides

`(Fd^2)/(G)=m_1m_2`

Divide by
`m_2` on both sides

`(Fd^2)/(Gm_2)=m_1`

Hence,
`m_1=(Fd^2)/(Gm_2)`

Answer 2

To solve for m1 in the equation F=G(m1m2/d2), we must multiply both sides by d2.
That is,
F(d2)=G(m1*m2*d2/d2) which cancels out the d2 in the other side.
Simplifying, we get
F(d2)=G(m1*m2)
Now divide both sides by G*m2, we have
F*d2/G*m2=G(m1*m2/m2*G)
Simplifying to reduce the equation,
m1=F*d2/(G*m2)