Energy Problem Involving KE and PE

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SUMMARY

The discussion centers on solving an energy problem involving kinetic energy (KE) and potential energy (PE) without a given mass. The relevant equations are PE = m * g * h and KE = 1/2 * m * v^2. Participants clarify that at the bottom of the hill, potential energy is zero, allowing the equation KEinitial + PEinitial = KEfinal to be used to find instantaneous velocity. The mass variable cancels out in the calculations, simplifying the solution process.

PREREQUISITES
  • Understanding of kinetic energy (KE) and potential energy (PE) equations
  • Familiarity with the concept of total mechanical energy
  • Basic knowledge of algebra for solving equations
  • Grasp of gravitational force and its impact on potential energy
NEXT STEPS
  • Study the principles of conservation of mechanical energy
  • Learn how to derive instantaneous velocity from energy equations
  • Explore the implications of mass cancellation in energy problems
  • Practice similar problems involving KE and PE with varying parameters
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of energy conservation principles in problem-solving.

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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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