Problem $2$: Use MATLAB to solve the below problem

A spring whose natural length is $20$ cm exerts a force of $60$ N when stretched to a length of R cm$.($where R is a random integer between $10$ and $30$ cm$)$

$($a$)$ Find the spring constant $($in newtons$/$meter$).$

$($b$)$ Find the work that is done in stretching the spring $7$ cm beyond its natural length.

$($c$)$ Find the work done in stretching the spring from a length of $22$ cm to a length of $25$ cm$.$

Display your answers on the workspace as per the following example

$>>$ The spring constant is equal to XXX N$/$m

Hint:

use F$($x$)=$k$.$x $,$ where F$($x$)$ is the spring force, k is the spring constant $($N$/$m$),$ and x is the distance $($elongation$)$

use W$=\_$a$^$b$$F$($x$).$dx$,$ where W is the work done in stretching the spring, and a$,$b are the spring initial and final elongations respectively.

make it simple