Respuesta :

Given:

The force constant of spring is

[tex]k\text{ =2.5}\times10^4\text{ N/m}[/tex]

To find the work done when spring is stretched to 0.03 m and work done when compressed to 0.03 m.

Explanation:

The work done to stretch the spring will be

[tex]\begin{gathered} W\text{ =}\frac{1}{2}kx^2 \\ =\frac{1}{2}\times2.5\times10^4\times(0.03)^2 \\ =\text{ 11.25 J} \end{gathered}[/tex]

The work done to compress the spring will be

[tex]\begin{gathered} W\text{ =-}\frac{1}{2}kx^2 \\ =-\frac{1}{2}\times2.5\times10^4\times(0.03)^2 \\ =-11.25\text{ J} \end{gathered}[/tex]