Question

The potential energy for a force field $\overline{F}$ is given by $\cup$(x,y) = cos(x+y). The force acting on a particle at position given by coordinates (0, $\pi$/4) is

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

$F_x$ = - $\frac{\partial \cup }{\partial \chi }$ = sin(x + y) = $\frac{1}{\sqrt{2}}$

$F_y$ = - $\frac{\partial \cup }{\partial \gamma }$ = sin(x + y) = $\frac{1}{\sqrt{2}}$

$\overline{F}$ = $\frac{1}{\sqrt{2}}$ $[\hat{i}+\hat{j}]$