A single conservative force acts on a particle moving along the -axis

PHYSICS · Multi-part · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

A single conservative force

F_x

acts on a

2\,\text{kg}

particle moving along the

x

-axis. Its potential energy is

U=(x-4)^2-16

, where

x

is in metres and

U

is in joules. At

x=6.0\,\text{m}

, the kinetic energy of the particle is

8\,\text{J}

. Find: (a) Total mechanical energy. (b) Maximum kinetic energy. (c) Values of

x

between which the particle moves. (d) The equation of

F_x

as a function of

x

. (e) The value of

x

at which

F_x

is zero.