Question

The potential energy $U$ for a force field $\overrightarrow{F}$ is such that $U=-Kxy$, where $K$ is a constant. Then

• A. $\overrightarrow{F}=Ky\hat{i}+Kx\hat{j}$
• B. $\overrightarrow{F}=Kx\hat{i}+Ky\hat{j}$
• C. $\overrightarrow{F}$ is a conservative force
• D. $\overrightarrow{F}$ is a non-conservation force.

Answer 1

The correct option is C $\overrightarrow{F}$ is a conservative force

The potential energy $=U$

For a force field$=\overrightarrow{F}$

$U=-Kxy$ where $K=constant$

Now, the answer will be conservative force because the law of conservation of energy is one of the barie laws of physics and therefore governs the microscopic motion. The law of conservation energy states. In a closed system i.e, a system that isolated from its surroundings the total energy of the system is conserved.