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

Question

For a conservative force in one dimension, potential energy function V ( x ) is related to the force F ( x ) as (A) F(x)=(-d V(x)/d x) (B) F(x)=(d V(x)/d x). (C) F(x)=V(x) d x (D) F(x)=∫ (-d V(x)/d x)

Tardigrade Admin · Accepted Answer

Conservative force is negative gradient of potential F (x)=(- dV ( x )/ dx )

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

$F (x) = \frac{- d V ( x )}{d x}$

$F (x) = \frac{d V ( x )}{d x}$ .

$F (x) = V (x) d x$

$F (x) = \int \frac{- d V ( x )}{d x}$

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

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

F(x)=dx−dV(x)​

F(x)=dxdV(x)​.

F(x)=V(x)dx

F(x)=∫dx−dV(x)​

Conservative force is negative gradient of potential F(x)=dx−dV(x)​