The potential energy of a particle moving along the -axis is given by (in joules

PHYSICS · Multi-part · AP · Physics 2: Algebra-based · Electric Force Field and Potential · Electric Force Field and Potential

Problem

The potential energy of a particle moving along the

x

-axis is given by

V(x)=2x^{3}-6x

(in joules,

x

in metres). Determine the direction of the force acting on the particle at: (i)

x = -1\,\text{m}

(ii)

x = +1\,\text{m}