.A distance of 0.002 m separates two objects of equal mass. If the gravitational
force between them is 0.0104 N, find the mass of each object.
Explanations & Calculations
F=Gm×mr2m=rFG=0.0020.0104N6.67×10−11m3kg−1s−2=24.97kg≈25kg\qquad\qquad \begin{aligned} \small F&=\small G\frac{m\times m}{r^2}\\ \small m&=\small r\sqrt{\frac{F}{G}}\\ &=\small 0.002\sqrt{\frac{0.0104N}{6.67\times10^{-11}m^3kg^{-1}s^{-2}}}\\ &=\small 24.97kg\\ &\approx\small 25kg \end{aligned}Fm=Gr2m×m=rGF=0.0026.67×10−11m3kg−1s−20.0104N=24.97kg≈25kg
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