A particle of mass moves along the x-axis under a conservative force with potential energy

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Work Energy and Power · Work Energy and Power

Problem

A particle of mass

0.50\,\text{kg}

moves along the x-axis under a conservative force with potential energy

U(x) = 6.0 x^{2} - 2.0 x^{4}

, where

U

is in joules and

x

is in meters. The particle is released from rest at

x = 0.50\,\text{m}

. Which of the following positions is the farthest from the origin that the particle can reach before turning around? (a)

1.23\,\text{m}

(b)

1.66\,\text{m}

(c)

1.73\,\text{m}

(d)

1.41\,\text{m}