Question #266393

What is the distance between 3kg and 5kg mass particle if the gravitational force on 3kg due to 5kg particle is 5.12x10^-6 N?


1
Expert's answer
2021-11-15T10:32:58-0500
F=Gm1m2d2,F=\dfrac{Gm_1m_2}{d^2},d=Gm1m2F,d=\sqrt{\dfrac{Gm_1m_2}{F}},d=6.67×1011 N×m2kg2×3 kg×5 kg5.12×106 N=1.4×102 m.d=\sqrt{\dfrac{6.67\times10^{-11}\ \dfrac{N\times m^2}{kg^2}\times3\ kg\times5\ kg}{5.12\times10^{-6}\ N}}=1.4\times10^{-2}\ m.

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