The gravitational field in a region is given by $\vec{E} = (5\vec{i} + 12\vec{j})$. Find the magnitu

Question

The gravitational field in a region is given by $\vec{E} = (5\vec{i} + 12\vec{j})$. Find the magnitude of the gravitational force acting on a particle of mass $2~kg$ placed at the origin.

Professor PC Thomas Classes · Answer

Field magnitude $E = \sqrt{5^2 + 12^2} = 13$. Force $F = mE = 2 	imes 13 = 26~N$.