phy 121
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I am working on the Conservation of Energy on an Incline Lab and had a question about determining the average acceleration when the marble rolls up the ramp and then when it rolls back down. For finding the average acceleration we can use the change in velocity/change in time.
My question here is what should I do to find the change in velocity? I know that the initial velocity is 0 in both cases, but need to find final velocity. If I used vf^2= v0^2+ 2a'ds it would give me the same acceleration each time. I used 980cm/s^2 as my acceleration and then 'ds as 20cm since thats where the marble rolled to consistently. I also thought that maybe I could use vf=v0+a'dt for it, but I was finding very large answers from this.
What is the best format for finding my final velocity so that I can solve for the average acceleration???
You should have the distance the ball traveled along the ramp, in addition to the time interval for motion up the ramp, and the time interval for motion down.
For the interval while the ball is moving up the ramp the final velocity is zero. You know the displacement and the time interval, so you can solve for everything else.
For the interval while the ball is moving down the ramp the initial velocity is zero, and you know the displacement and the time interval, so you can find everything else.
980 cm/s^2 isn't relevant to analysis of the motion. The ball is not falling freely, but is mostly supported by the ramp.
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Good responses. Let me know if you have questions.