Question

check whether the given force is conservative or not: F=3x i + 3x j

hint: use the relation: del Fx/del y = del Fy/del x and del F

Answer 1

Answer:

No.

Explanation:

Using form:

$\\\tt F_{net} = F_x +F_y$ and given formula

We have,

$\\\tt \dfrac{dF_x}{dy} = \dfrac{d3x}{dy} \\\tt \\\tt = \dfrac{d3x}{dx} . \dfrac{dx}{dy} \\\tt = 3 \dfrac{dx}{dy}$

and

$\\\tt \dfrac{F_y}{dx} = \dfrac{d3x}{dx} \\\tt \\\tt = 3$

Since they aren't equal. It isn't conservative.