Question

For a conservative force in one dimension, potential energy function $V ( x )$ is related to the force $F ( x )$ as

• A. $F(x)=\frac{-d V(x)}{d x}$
• B. $F(x)=\frac{d V(x)}{d x}$.
• C. $F(x)=V(x) d x$
• D. $F(x)=\int \frac{-d V(x)}{d x}$

Answer 1

Answer: (A)

Conservative force is negative gradient of potential
$F (x)=\frac{- dV ( x )}{ dx }$