Question

two spherical objects have equal masses and experience a gravitational force of 25 N towards one other . Their centers are 36 cm apart . determine each of their masses .

Answer 1

The Newton's law of universal gravitation says

$$F=G\frac{m_1m_2}{r^2}=G\frac{m^2}{r^2}$$

Hence, the mass of bodies

$$m_1=m_2=\sqrt{\frac{Fr^2}{G}}$$

$$=\sqrt{\frac{25*0.36^2}{6.67*10^{-11}}}=2.2*10^5\:\rm kg$$