The gravitational potential in a region is given by $V = 20(x+y)$. Calculate the magnitude of the gr

Question

The gravitational potential in a region is given by $V = 20(x+y)$. Calculate the magnitude of the gravitational force on a particle of mass $500~g$ placed at the origin.

Professor PC Thomas Classes · Answer

Field $E_x = -20$, $E_y = -20$. Net $E = 20\sqrt{2}$. Force $F = mE = 0.5 	imes 20\sqrt{2} = 10\sqrt{2}~N$.