Force required to compress the spring
is
.
Hooks law:
.
Substitute
and
.

.
Substitute
in
.
.
The force required to compress the spring
is
.
Work done by the object in moving from
to
is
.
Find the work done in compress the spring
.




.
The work done in compressing the spring
is
.
The work done in compressing the spring
is
.