Question

Suppose the gravitational potential due to a small system is $k/r^2$ at a distance r from it. What will be the gravitational field ? Can you think of any such system? What happens if there were negative masses?

Answer 1

$V\alpha \frac{k}{r^2}$

compare with gravitational potential

$V_g\alpha \frac{1}{r}$

$F_g\alpha \frac{1}{r^2}$

similarly$,$ $F\alpha \frac{k}{r^3}$

If there is negative mass then attraction occurs$.$