Energy and collisions when objects stick together, vi, vf help

AI Thread Summary
The discussion revolves around calculating initial and final velocities (Vi and Vf) using photogate times in a lab experiment involving collisions. The user has derived formulas for kinetic energy (KEi and KEf) and momentum (Pi and Pf) but struggles with the actual calculations for Vi and Vf. They propose using the distance (diameter of the car's rod) divided by the respective photogate times to find these velocities. Clarification is sought on whether this method is correct for determining Vi and Vf. Accurate calculations of these velocities are essential for analyzing the collision dynamics in the experiment.
Jeph
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I'm doing a lab were we used photogates to calculate the time before and after the collision.

I have an initial Photogate Time and a Final Photogate Time..

Working in excel I need to caculate the velocity final and initial using those times. I also need to find KEi KEf Pi and Pf.

I've dervived how to find KEi (1/2(830) vi^2, KEf (1/2(1160)Vf^2), Pi (830*Vi), Pf (1160* Vf)

for when Ma >> Mb

I don't know why I just can't seem to figure how to calculate Vi and Vf using the photogate values. please help!
 
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I think I might have got it..

for Vi.. is it just delta(x) (or the diameter of the cars rod that passes through the photogate) divided by the first time, for initial and the second time for final?
 
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