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๐Ÿงต How to calculate how much a collision heats up each object

Anonymous No. 16253900

This isn't homework, I'm looking to learn how to calculate how much a collision heats up each object.

Imagine a single water molecule is bouncing down a hill and for simplicity say the hill is a steel slope of 30 degrees.

How much does the molecule heat up the steel on each bounce?

Anonymous No. 16253954

loss of kinetic enrrgy due to friction is a good first estimate.

Anonymous No. 16254014

bro using 4chan for homework help

Anonymous No. 16254031

>>16253900
What matters here is the energy lost in each collision. For that, you need the COEFFICIENT OF RESTITUTION, a number between zero and one that tells how bouncy the collision was. Zero means they stick together at impact and all rebound energy is lost (to heat). One means the collision was perfectly elastic and no energy was lost.
If the surface is considered an immovable object, then the energy lost is
[math](1-e^2)m(v_2-v_1)^2/2[/math]
where e is the coefficient of restitution, m is the particle mass, and the v values are its speeds perpendicular to the surface before and after the collision.
As always, should you or any of your IM force be caught or killed, the secretary will disavow any knowledge of your actions.
Good luck, Jim!

Anonymous No. 16254251

>>16253954
>>16254031
Thank you.