A certain amount of work is required to stretch a spring from its equilibrium position. (a) If twice the work is performed on the spring, the spring will stretch more by a factor of (1)square root of 2 (2)2,(3)1/square root of 2, (4)1/2. Why? (b) If 100J of work is done to pull a spring 1.0cm, what work is required to stretch it 3.0cm?

Question

(a) correct answer is (1) square root of 2. but (b) is what i am having trouble with.

Answer 1

1/2 k 1^2 = 100

1/2 k 3^2 = ?

Answer 2

Thank you!