Question #285102

A distance of 0.002 meter separates two objects of equal mass. If the gravitational force between them is 0.0104N, find the mass of each object.

1
Expert's answer
2022-01-05T14:30:04-0500
F=Gm2d2,F=\dfrac{Gm^2}{d^2},m1=m2=Fd2G,m_1=m_2=\sqrt{\dfrac{Fd^2}{G}},m1=m2=0.0104 N×(0.002 m)26.67×1011 N×m2kg2=25 kg.m_1=m_2=\sqrt{\dfrac{0.0104\ N\times(0.002\ m)^2}{6.67\times10^{-11}\ \dfrac{N\times m^2}{kg^2}}}=25\ kg.

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