The Centres Of Two Identical Spheres Are 1.0m Apart If The Gravitational Force Between The spheres be 1.0 N, then what is the mass of each sphere? (G = 6.67 * 10-11m kg-s-2)

Given:

G = 6.67 * 10-11m kg-1s-2

Gravitational Force = 1N

Distance between the two centres = 1 m

f = \(\frac{G m_{1} m_{2}}{r^{2}}\)

As given in the question, the two-sphere are identical, so m1 = m2

So, \( f = \frac{G m^{2}}{r^{2}}\\\Rightarrow m^{2} = \frac{fr^{2}}{G}\\\Rightarrow m^{2} = \frac{1 * (1)^{2}}{6.67 * 10^{-11}}\\\Rightarrow m = \sqrt{1.499 * 10^{10}}\)

Therefore, the mass of each sphere, m = 1.225 * 105 Kg.

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