two identical objects are placed 0.2 m apart and experience gravitational force of 2.0 *10-9 N. find the masses of spheres.
If the size of the objects is small compared to the distance between them, then
F=Gm⋅mr2→m=Fr2G=2⋅10−9⋅0.226.674⋅10−11≈1.1 kgF=G\frac{m\cdot m }{r^2}\to m=\sqrt{\frac{Fr^2}{G}}=\sqrt{\frac{2\cdot10^{-9}\cdot 0.2^2}{6.674\cdot10^{-11}}}\approx1.1\ kgF=Gr2m⋅m→m=GFr2=6.674⋅10−112⋅10−9⋅0.22≈1.1 kg . Answer
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