Question

A spring has an unstretched length of 12 cm . It exerts a restoring force F when stretched to a length of 13 cm. For what total stretched length of the spring is its restoring force 3F ?

Answer 1

15 cm

Step-by-step explanation:

Hooke's law says force is proportional to change in length.

force = kΔx

There is a restoring force F when stretched to a length of 13 cm.

F = k (13 − 12)

F = k

When the restoring force is 3F:

3F = (F) (x − 12)

3 = x − 12

x = 15