Conservation of energy: How do I know?

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SUMMARY

The discussion centers on understanding the distinction between kinetic energy (KE) and potential energy (PE) in the context of mechanical energy conservation. The user outlines the equation (KE_2 - KE_1) - (PE_2 - PE_1) - (S_2 - S_1) = W_other, emphasizing that when no other forces act on the object, W_other equals zero. It is established that if an object starts at rest at a height, it possesses only potential energy, which converts entirely to kinetic energy as it descends. The final conclusion is that if KE_1 is zero, then KE_2 equals the initial potential energy when the object reaches the ground.

PREREQUISITES
  • Understanding of kinetic energy (KE) and potential energy (PE) concepts
  • Familiarity with the work-energy principle
  • Basic knowledge of gravitational potential energy calculations (PE = mgh)
  • Ability to manipulate and solve algebraic equations
NEXT STEPS
  • Study the work-energy theorem in classical mechanics
  • Explore examples of energy conservation in free-fall scenarios
  • Learn about the relationship between potential energy and height in gravitational fields
  • Investigate the implications of energy conservation in different physical systems
USEFUL FOR

Students studying physics, educators teaching energy concepts, and anyone interested in the principles of mechanical energy conservation.

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This is not so much a homework problem as it is a question:

How do I know whether an object has kinetic energy or potential energy?

I know for potential energy you make a point that is PE(grav) = 0, and then if the object reaches a height you make the other PE = mgh.

So in (KE_2 - KE_1) - (PE_2 - PE_1) - (S_2 - S_1) = W_other where
KE = kinetic en.
PE = potential en
S = spring en
W = other forces acting...

If no other forces are acting on the object W_other = 0; and there is no spring = 0 - 0

Then you get (KE_2 - KE_1) = - PE_2 + PE_1

And then if you make a point that is PE_1 = 0

KE_2 - KE_1 = -PE_2

Then what about KE ? Does that make KE_2 = 0?

I have no idea, please help me! I need an answer in 9 hours!
 
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KE_1 = 0

At your intial state, no kinetic energy is present, the object only has potential because it is at rest at a certain height(h not 0) from your reference ground which has h=0

initial: potential = all energy, kinetic = no energy (assumed at rest at point1)
final: potential = 0, kinetic = all energy
 

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