Natural length of the spring is cm.
Work done in moving the object from to
is
.
From the Hookes law , .
Find the work done to stretch a spring from cm to
cm.
Now calculate work done to stretch a spring of length of cm to
cm from its natural length.
Here and
.
Work done is .
.
Find the work done to stretch a spring from cm to
cm.
Now calculate work done to stretch a spring of length of cm to
cm from its natural length.
Here and
.
Work done is .
.
Compare and
.
From the above results, .
.
Relation between and
is
.