AP® Physics C: Mechanics

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Moderate

The force related to an exponential potential

APPHMC-JLJBVT

A particle has potential energy dependent on its position on the x axis, represented by the function $U(x) = e ^ {2x} + 1$ for all real values of $x$ where $U(x)$ and $x$ are given in standard units.

The force it feels at position $ x = 1$ is closest to

A

$7.39 N$

B

$8.39N$

C

$-8.39N$

D

$14.8 N$

E

$-14.8 N$