## Hooke's Law and Spring Force

Learn how Hooke's Law relates a spring to the force required to stretch it a certain distance using the equation Fspring = -kx.

### Hooke's Law Equation

A spring scale works by using a spring to tell you how much force is present.

Hooke’s Law:  Fspring = -kx

Fspring = force in the spring (N)

k = spring constant: relates the force on the spring to displacement (unit: N/m)

x = displacement of a spring (m) ### Example Problem (Hooke's Law)

1. How much is the spring constant in a spring that requires 150 N of force to displace it 0.030 m from the origin?

Givens List:

Fspring = - 150 N (- because it’s reverse of the direction you apply the force)

x = 0.030 m

k = ?

Equation and Work:

Fspring = -kx

-150 = -k(0.030)

k = -150/-0.030 = 5000 N/m 4

Hooke's Law and Springs Quiz

1 / 4

What happens to the magnitude of force required to stretch a spring 0.1 m when the spring constant increases?

2 / 4

How much force is in a spring that has a spring constant of 4400 N/m that is displaced 0.03 m?

3 / 4

What is the spring constant of a spring displaced 0.1 meters when 400 N of force is applied?

4 / 4

What is the displacement of a spring that has a spring constant of 2000 N/m when a force of 500N is applied?