Question

The gravitational field in a region is given by $\overrightarrow{E}=\left(5N{kg}^{-1}\right)\overrightarrow{i}+\left(12N{kg}^{-1}\right)\overrightarrow{j}$. Find the magnitude of the gravitational force acting on a particle of mass $2kg$ placed at the origin

• A. $26N$
• B. $30N$
• C. $20N$
• D. $35N$

Answer 1

The correct option is A $26N$

Force in x-axis=$m{E}_x=10N$

Force in y-axis=$m{E}_y=24N$

Magnitude of net force=$\sqrt{F_x^2+F_y^2}=\sqrt{{10}^2+{24}^2}N=26N$