Newton's Law of Universal Gravitation Calculator :: Equations

Physics

Newton's Law of Universal Gravitation Calculator

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Newton's Law of Universal Gravitation Equation

$$ F \enspace = \enspace G \enspace \frac{ m_1 \enspace m_2 }{ r^2 } $$

$ 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 \enspace \displaystyle{ \frac{ m_1 \enspace m_2 }{ r^2 } } $

= $ G \enspace \times \enspace $

$ \mathrm{ kg } \enspace \times \enspace $ $ \mathrm{ kg } $

$ ( $ $ \mathrm{ m } $ $ ) $ $ \mathrm{^2} $

= $ \mathrm{ N } \, (\mathrm{ newtons }) $

= $ \mathrm{ N } \, (\mathrm{ newtons }) $ (to significant figures)

$ m_1 $

= $ \displaystyle{ \frac{ F \enspace r^2 }{ G \enspace m_2 } } $

$ \mathrm{ N } \enspace \times \enspace $ $ ( $ $ \mathrm{ m } $ $ ) $ $ \mathrm{^2} $

$ G \enspace \times \enspace $ $ \mathrm{ kg } $

= $ \mathrm{ kg } $

= $ \mathrm{ kg } $ (to significant figures)

$ m_2 $

= $ \displaystyle{ \frac{ F \enspace r^2 }{ G \enspace m_1 } } $

$ \mathrm{ N } \enspace \times \enspace $ $ ( $ $ \mathrm{ m } $ $ ) $ $ \mathrm{^2} $

$ G \enspace \times \enspace $ $ \mathrm{ kg } $

= $ \mathrm{ kg } $

= $ \mathrm{ kg } $ (to significant figures)

$ r $

= $ \displaystyle{ \sqrt{ \frac{ G \enspace m_1 \enspace m_2 }{ F } } } $

$ ( $

$ G \, \times \, $ $ \mathrm{ kg } $$ \, \times \, $ $ \mathrm{ kg } $

$ \mathrm{ N } $

$ ) $

^{$^{-2}$}

= $ \mathrm{ m } $

= $ \mathrm{ m } $ (to significant figures)

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\( F \)	-	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)