The force, $\backslash ($ F $\backslash ),$ required to compress a spring by a distance $\backslash ($ x $\backslash )$ meters is given by $\backslash ($ F$=6$ x $\backslash )$ newtons.

Which will be more work?

A$.$ The work to compress from $0$ to $1$

B$.$ The work to compress from $6$ to $7$

$($Be sure you can explain why this is the case!$)$

Find the work done in compressing the spring from $\backslash ($ x$=0\backslash )$ to $\backslash ($ x$=1\backslash )$ and in compressing the spring from $\backslash ($ x$=6\backslash )$ to $\backslash ($ x$=7\backslash ).$

Work compressing from $\backslash ($ x$=0\backslash )$ to $\backslash ($ x$=1\backslash )$ :

$($include units$)$

Work compressing from $\backslash ($ x$=6\backslash )$ to $\backslash ($ x$=7\backslash )$ :

$($include units$)$