Physics

Problem

The potential energy associated with a

0.50\,\text{kg}

particle moving along the

x

-axis is

V(x)=8x^{2}\;\text{J} \;(x \text{ in metres}).

The particle is released from rest at

x=0.20\,\text{m}

. a. (i) Calculate the total mechanical energy of the particle at the instant of release. b. (ii) Find its speed when it reaches

x = 0.10\,\text{m}

. c. (iii) Determine the maximum distance from the origin the particle can reach during its subsequent motion and explain your reasoning briefly.