The mass of each of the object is 17316.2kg
The force of attraction between two objects of equal mass, m, is given as:
[tex]F = \frac{Gm^2}{r^2} \\\\G = 6.67 * 10^{-11} m^3kg^{-1} s^{-1}[/tex]
The distance between the two objects is:
r = 0.002 m
The force, F = 5000N
Substitute the values of F, G, and r into the formula above to solve for the mass (m)
[tex]5000 = \frac{6.67*10^{-11}m^2 }{0.002^2} \\\\5000*0.002^2=6.67*10^{-11}m^2\\\\m^2 = \frac{5000*0.002^2}{6.67*10^{-11}} \\\\m^2=\frac{0.02*10^{11}}{6.67} \\\\m^2=299850074.963\\\\m = \sqrt{299850074.963} \\\\m = 17316.2 kg[/tex]
The mass of each of the object is 17316.2kg
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