physics.hookes_law

Hooke’s Law states that the force needed to extend or compress a spring is proportional to the distance of that extension or compression.

F = -k * x

Where:

F = Force applied (in Newtons) k = Spring constant (in Newtons per meter, N/m) x = Displacement from equilibrium (in meters)

The negative sign indicates the force is a restoring force (opposite to displacement).

Reference: https://en.wikipedia.org/wiki/Hooke%27s_law

Functions

hookes_law(→ float)

Calculate the restoring force of a spring using Hooke's Law.

Module Contents

physics.hookes_law.hookes_law(spring_constant: float, displacement: float) → float

Calculate the restoring force of a spring using Hooke’s Law.

Parameters:

spring_constant: stiffness of the spring in N/m (must be positive) displacement: extension or compression in meters

Returns:

Restoring force in Newtons (negative means opposing displacement)

>>> hookes_law(spring_constant=50, displacement=0.1)
-5.0
>>> hookes_law(spring_constant=100, displacement=0.5)
-50.0
>>> hookes_law(spring_constant=200, displacement=-0.2)
40.0
>>> hookes_law(spring_constant=0, displacement=0.1)
Traceback (most recent call last):
    ...
ValueError: Spring constant must be positive.
>>> hookes_law(spring_constant=-10, displacement=0.1)
Traceback (most recent call last):
    ...
ValueError: Spring constant must be positive.