Question

How much work must you do to stretch the spring 0.030 m ? and how much work must you do to compress it 0.030m ?

Answer 1

Given:

The force constant of spring is

`k\text{ =2.5}*10^4\text{ N/m}`

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

Step-by-step explanation:

The work done to stretch the spring will be

`\begin{gathered} W\text{ =}(1)/(2)kx^2 \\ =(1)/(2)*2.5*10^4*(0.03)^2 \\ =\text{ 11.25 J} \end{gathered}`

The work done to compress the spring will be

`\begin{gathered} W\text{ =-}(1)/(2)kx^2 \\ =-(1)/(2)*2.5*10^4*(0.03)^2 \\ =-11.25\text{ J} \end{gathered}`