Conservation of energy: How do I know?

AI Thread Summary
To determine whether an object has kinetic or potential energy, it's essential to establish a reference point for potential energy, typically where PE is zero, such as ground level. When an object is at rest at a height, it possesses potential energy, while kinetic energy is zero. As the object descends, potential energy converts into kinetic energy, meaning that at the initial state, all energy is potential, and at the final state, all energy is kinetic. If the object starts with no kinetic energy, it will have maximum potential energy at the reference height. Thus, the relationship between kinetic and potential energy can be analyzed using the equation KE_2 - KE_1 = -PE_2, illustrating 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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