Question

Two objects of equal mass are separated by a distance of 0.002 m and force between them is 5000N. Find their mas values in kg?

Answer 1

The mass of each of the object is 17316.2kg

The force of attraction between two objects of equal mass, m, is given as:

$F = \frac{Gm^2}{r^2} \\\\G = 6.67 * 10^{-11} m^3kg^{-1} s^{-1}$

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)

$5000 = \frac{6.67*10^{-11}m^2 }{0.002^2} \\\\5000*0.002^2=6.67*10^{-11}m^2\\\\m^2 = \frac{5000*0.002^2}{6.67*10^{-11}} \\\\m^2=\frac{0.02*10^{11}}{6.67} \\\\m^2=299850074.963\\\\m = \sqrt{299850074.963} \\\\m = 17316.2 kg$

The mass of each of the object is 17316.2kg

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