did you solve question 2.12? if so what was your answer? 2.12 didn't come out clear enough for me to solve on my own. The question says to use that answer (not the equations) to solve it...
If you are using energy like your tag suggests then write out your energy equation:
ΔE = ΔKv + ΔKr + ΔEtherm + ΔUpot
Etherm can be neglected because the loop is frictionless. Substitute in your energy equations for your change in kinetic energy (HINT ball is assumed to start from rest...
I'm reviewing my old calculus textbook and I stumbled upon a proof of Kepler's First Law of Planetary Motion which uses vector valued functions along with all of the operations to demonstrate the material. I understand the math and how to to DO it but what I am struggling with is why.
It goes...
Hey all!
My calculus book goes through the proof/derivation of Kepler's first Law of planetary motion and I got to the part where the the indefinite integral of a vector valued function and got the answer plus the constant function. When the constant function was depicted in a diagram it was...