Chris got asked how fast you would need to be going to complete a loop the loop this is what we got.
Marble loop the loop physics.
We are going to find the minimum speed you require to complete the loop we ll do this via an energy argument.
Abstract this is a really fun project even if you don t like going on roller coasters yourself.
I solve the loop the loop first year undergraduate and ap physics problems.
When the marble finally gets to the floor it has all kinetic energy and no potential energy.
But we have to get a few other things taken care of.
On the other hand you need to take account of the energy of the sphere rolling which is stated explicitly.
A loop the loop track consists of an incline that leads into a circular loop of radius r.
When you let go of the marble its potential energy is converted into kinetic energy the energy of motion.
The loop is tricky.
You ll build a roller coaster track for marbles using foam pipe insulation and masking tape and see how much of an initial drop is required to get the marble to loop the loop.
First we need to find the minimum speed required at the top of the loop.
Build a miniature roller coaster and see if you can get marbles to go the distance and upside down.
For ease we ll ignore friction.
Your expression for the velocity looks right.
Loop the loop with a little physics.
First we need to know the minimum speed at the top of the loop for the mass to remain on the track.