A particle moves along the -axis under a potential energy

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A particle moves along the

x

-axis under a potential energy

V(x)=a x^{2}

, where

a>0

is a constant. Which statement about the point

x=0

is correct? (a) Force is non-zero at

x=0

and directed toward the origin. (b) Force is zero at

x=0

and the equilibrium is stable. (c) Force is zero at

x=0

and the equilibrium is unstable. (d) Force is zero at

x=0

and the equilibrium is neutral.