Question

Find the work done to compress a spring 2m if it takes 1000 N of force to compress the spring 5m

Answer 1

Given:

`\begin{gathered} F=1000N \\ \text{original length, l}_0=2m \\ \text{final length, l}_f=5m \end{gathered}`

The work done by an elastic material is given by;

`\begin{gathered} W=(1)/(2)Fe \\ \text{where;} \\ e\text{ is the extension} \\ e=l_f-l_o \\ e=5-2=3m \\ \\ \text{Hence, the work done is;} \\ W=(1)/(2)Fe \\ W=(1)/(2)*1000*3 \\ W=(3000)/(2) \\ W=1500J \end{gathered}`

Therefore, the work done to compress the spring is 1500J