# Hooke's Law

Hooke's Law simulations:

(a damping effect is present to simulate the disspation of energy caused by friction)

Spring with k= 0.15

Spring with k= 0.03

(a "weaker" spring)

Robert Hooke , born at the Isle of Wight , discovered (in 1676) that when you apply a force on a spring, the force you apply is directly proportional to how far it stretches .

You can represent this variation by a straight line, due to the direct proportionality.

The slope of the graph (example below) will be proportional to the spring constant k : if the spring is tough, the slope will be large and the resulting line will be close to the y axis (vertical). That means that even a small displacement of the spring will require a large force.

if the spring is "soft" the slope will be small; the resulting line will be close to the x axis(horizontal).

The elastic Potential energy stored in a spring which is either compressed or stretched, is:

E =_________________________________________

Demonstration of Hooke's Law for a spring with k=1.