Question

A particle moving in a conservative force field from point $A$ to point $B$. $U_A$ and $U_B$ are the potential energies of the particle at the point $A$ and $B$ and $W_c$ is the work done by conservative forces in the process of taking the particle from $A$ and $B$:

• A. W${}_C$ = U${}_B$-U${}_A$
• B. W${}_C$ = U${}_A$-U${}_B$
• C. W${}_C$ = U${}_A$+U${}_B$
• D. W${}_C$ = U${}_B$+U${}_A$

Answer 1

The correct option is B W${}_C$ = U${}_A$-U${}_B$

work done by conservative Force in change in Potential energy of the body as:-

$W=\Delta u$ (follow conservation of Energy)

That given:-

$W_C=u_A-u_B$