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Q.
Two identical spheres of gold are in contact with each other. The gravitational attraction between them is
Gravitation
Solution:
The gravitational force of attraction between two identical spheres of radius $r$ is
$F=\frac{G m_1 m_2}{r^2}=\frac{G \frac{4}{3} \pi r^3 \rho \times \frac{4}{3} \pi r^3 \rho}{(2 r)^2} $
$=\frac{4}{9} \pi^2 p^2 r^4$
i.e., $F \propto r^4$
