Newton's Law of Universal Gravitation Calculator :: Equations

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Newton's Law of Universal Gravitation Calculator

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Newton's Law of Universal Gravitation Equation

$F = G \frac{m_{1} m_{2}}{r^{2}}$

$F$	-	Force in newtons (N)
$G$	-	Gravitational constant = 6.674 × 10^-11 m² / kg / s²
$m_{1}$	-	Mass 1 in kilograms (kg)
$m_{2}$	-	Mass 2 in kilograms (kg)
$r$	-	Distance between centres of masses in metres (m)

Find:

$F$

= $G \frac{m_{1} m_{2}}{r^{2}}$

G \times

kg \times

kg

(

m

)

^{2}

= 6.674e-11 $N (newtons)$

= 6.674 x 10^-11 $N (newtons)$ (to significant figures)

$m_{1}$

= $\frac{F r^{2}}{G m_{2}}$

N \times

(

m

)

^{2}

G \times

kg

= 14983518130.056937369 $kg$

= 1.498 x 10¹⁰ $kg$ (to significant figures)

$m_{2}$

= $\frac{F r^{2}}{G m_{1}}$

N \times

(

m

)

^{2}

G \times

kg

= 14983518130.056937369 $kg$

= 1.498 x 10¹⁰ $kg$ (to significant figures)

$r$

= $\sqrt{\frac{G m_{1} m_{2}}{F}}$

(

G \times

kg

\times

kg

N

)

^{$^{- 2}$}

= 0.000008169455306200040654 $m$

= 8.169 x 10^-6 $m$ (to significant figures)

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