You have two springs that are identical except that spring 1 is stiffer than spring 2, (k1 > k2). on which spring is more work done? (a) if they are stretched using the same force(b) if they are stretched the same distance

Explanation:

Given

Two springs with spring constant and

(a)If they are stretched using the same force

Force

where and are the extension in the spring

so

therefore

Work done is given by

thus

(b)If they are stretched the same distance

Thus

For same extension, work done by Force 1 is more