A spring is 10 cm long when not stretched. If it takes 120 N to stretch it from its resting position of 10 cm to a position of 35 cm, how much work is done to stretch it that far?



Answer :

Answer:

15 J

Explanation:

According to Hooke's law, the force to stretch a spring is equal to the spring constant times the displacement. The work done to stretch a spring is equal to the change in elastic energy, which is half the spring constant times the square of the displacement.

From Hooke's law:

F = kx

120 N = k (0.35 m − 0.10 m)

k = 480 N/m

The work done is:

W = EE

W = ½ kx²

W = ½ (480 N/m) (0.35 m − 0.10 m)²

W = 15 J