Hooke’s Law tells us how springs work. It says that the force a spring creates is related to how much it stretches or compresses.
This can be written as:
[ F = -kx ]
In this formula, ( F ) is the force, ( k ) is the spring constant (which tells us how stiff the spring is), and ( x ) is how far the spring is stretched or squished.
This idea is important for understanding something called simple harmonic motion (SHM).
For a mass-spring system, we can figure out how long it takes to complete one full bounce, which is called the period ( T ). The formula for the period is:
[ T = 2\pi \sqrt{\frac{m}{k}} ]
In this equation, ( m ) is the mass attached to the spring.
So, if the spring gets stiffer (meaning ( k ) goes up), the time it takes to complete one bounce gets shorter. This means you'll bounce back faster!
You can think of it like a bungee cord: the stiffer it is, the quicker you'll bounce back!
Hooke’s Law tells us how springs work. It says that the force a spring creates is related to how much it stretches or compresses.
This can be written as:
[ F = -kx ]
In this formula, ( F ) is the force, ( k ) is the spring constant (which tells us how stiff the spring is), and ( x ) is how far the spring is stretched or squished.
This idea is important for understanding something called simple harmonic motion (SHM).
For a mass-spring system, we can figure out how long it takes to complete one full bounce, which is called the period ( T ). The formula for the period is:
[ T = 2\pi \sqrt{\frac{m}{k}} ]
In this equation, ( m ) is the mass attached to the spring.
So, if the spring gets stiffer (meaning ( k ) goes up), the time it takes to complete one bounce gets shorter. This means you'll bounce back faster!
You can think of it like a bungee cord: the stiffer it is, the quicker you'll bounce back!