Energy Problem Involving KE and PE

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The discussion revolves around a physics problem involving kinetic energy (KE) and potential energy (PE) where the mass is not provided. The key equations mentioned are PE = m*g*h and KE = 1/2mv^2, with the total mechanical energy being the sum of initial KE, initial PE, and external work. The participant is confused about how to find the instantaneous velocity at the bottom of the hill without knowing the mass. Another contributor suggests treating mass as a variable, noting that it will cancel out in the equations, allowing for a solution. This approach emphasizes that the mass is not needed to determine the velocity at the bottom of the hill.
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Homework Statement



I attached a link with the description of the problem attached to it.



Homework Equations



PE=m*g*h
KE=1/2mv^2
Work=F*d

Total Mechanical Energy= KEinitial+PEinitial+Workexternal



The Attempt at a Solution



I was totally confused by this problem because the mass was not given to me. I'll show what I did:

KE=9*m/2-----top of hill
PE=245*m----top of hill

At bottom of hill PE is zero because of no height, therefore KEinitial+PEinitial=KEfinal

The problem wants to find the instantaneous velocity at the bottom of the hill. I am totally confused on how to solve this without the mass given though, help very greatly appreciated. If the attachment doesn't work or is too small, tell me and I will write out that question. I just need some boost to get me goin on this problem.
 

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hi jcfor3ver! :smile:

(try using the X2 and X2 icons just above the Reply box :wink:)
jcfor3ver said:
I was totally confused by this problem because the mass was not given to me.

At bottom of hill PE is zero because of no height, therefore KEinitial+PEinitial=KEfinal

The problem wants to find the instantaneous velocity at the bottom of the hill.

(i can't read your attachment, but anyway …)

that equation should give you the velocity: just call the mass "m", and you'll find it'll cancel out (because it's in everything! :wink:)
 
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