solvefor r,F=(Gmm)/(r^2)

解

解く

r, F = \frac{G mm}{r ^{2}}

r = \frac{m G}{F}, r = - \frac{m G}{F}; F \neq = 0

解答ステップ

F = \frac{G mm}{r ^{2}}

簡素化

\frac{G mm}{r ^{2}} : \frac{m ^{2} G}{r ^{2}}

F = \frac{m ^{2} G}{r ^{2}}

以下で両辺を乗じる:

r^{2}

F r^{2} = m^{2} G

解く

F r^{2} = m^{2} G : r = \frac{m G}{F}, r = - \frac{m G}{F}; F \neq = 0

r = \frac{m G}{F}, r = - \frac{m G}{F}; F \neq = 0