The potential energy of a particle moving along the -axis is given by U= ( x^3 3 -4x+6 )

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

The potential energy of a particle moving along the

x

-axis is given by

U=\left(\frac{x^3}{3}-4x+6\right).

Here,

U

is in joules and

x

is in metres. Find the positions of stable and unstable equilibrium.