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AP® Physics C: Mechanics

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Potential energy change in a finite distance for a given F(x)

APPHMC-PWZZY4

The conservative force exerted on a given particle as a function of position x is found to be $F(x) = \frac {-3} {x+1}$ for positive $x$ values, where x is given in meters.

From $x = 1 m$ to $x = 3 m$, by how much does the particle's potential energy change?

A

$0.000 J$

B

$0.693 J$

C

$0.750 J$

D

$2.079 J$

E

$4.159 J$