Physics

Problem

A particle moves along the

x

-axis under the force

F(x)=3x^2\,\text{N}

. Which statement is correct regarding this force and its potential energy function

V(x)

? a) The force is conservative and

V(x)= x^{3}+C

b) The force is non-conservative because its magnitude depends on position c) The force is conservative and

V(x)= -x^{3}+C

d) The force is conservative and

V(x)= -3x^{3}+C