Respuesta :

YellowGold
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)
lublana

Answer:

[tex]m_1=\frac{Fd^2}{Gm_2}[/tex]

Step-by-step explanation:

We are given that [tex]F=G\frac{m_1m_2}{d^2}[/tex]

We have to solve for [tex]m_1[/tex]

Divide by G on both sides then we get

[tex]\frac{F}{G}=\frac{m_1m_2}{d^2}[/tex]

Multiply by [tex]d^2[/tex] on both sides

[tex]\frac{Fd^2}{G}=m_1m_2[/tex]

Divide by [tex]m_2[/tex] on both sides

[tex]\frac{Fd^2}{Gm_2}=m_1[/tex]

Hence, [tex]m_1=\frac{Fd^2}{Gm_2}[/tex]

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