Calculating Kinetic and Potential Energy of a Falling Object

In summary, the stone has a potential energy of 0 at the edge of the cliff and a kinetic energy of 1/2*0.115kg*29.2sqrtm/s when it falls 43.6m.
  • #1
Coco12
272
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If a stone sits at the edge of a 155m cliff and falls 43.6m with the velocity at that point of 29.2m/s , what is the kinetic and potential energy? Are they the same or diff?
 
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  • #2
If I tell you that potential energy is "converted" into kinectic energy during fall. That at the edge of the cliff (155m) kinectic energy equals zero and potential energy is max. At the bottom of the cliff, kinectic energy is max wright before landing and potential is zero also before landing. Will that help solve your problem?

By the way:
Kinectic energy = [itex] 1/2 * m * v^2 [/itex]
Potential energy = [itex]m * g * h[/itex]

m - mass
g - gravity constant
h - hight
 
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  • #3
I forgot to add the mass of the stone is .115kg, but after it falls 43.6m the kinetic vs the potential is different right? U would minus the 43.6 from the 155 to get the height for the formula whereas u would use the velocity to get the kinetic ?
 
  • #4
Coco12 said:
U would minus the 43.6 from the 155 to get the height for the formula whereas u would use the velocity to get the kinetic ?
That's the correct procedure. The two calculations might or might not produce the same number.
 
  • #5
You are wright about the height. From there you can calculate the potential energy.
Watch out for velocity since it's different from inicial velocity. As the stone falls it gains velocity.

I should've add that if you compute the energy at the top you get the total energy of the system. Once the stone starts falling potential energy drops, kinetic energy raises. At the bottom kinetic energy equals potential energy at the top.

potential energy (top) = kinetic energy (bottom)

You'll probably need it: [itex]U_{system} = U_{potential} + U_{kinetic}[/itex]
U - energy
 
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  • #6
haruspex said:
That's the correct procedure. The two calculations might or might not produce the same number.

Yea, I did the calculations and they are not the same, thanks
 
  • #7
Quite so. In fact, there's a very easy way to get there. The KE must equal the PE lost in falling 43.6m; the remaining PE is for falling 155m-43.6m. Clearly the two will only be equal when it has fallen half way.
 
  • #8
So ke would be 1/2 0.115kg * 29.2sqrt m/s?
 
  • #9
Squared, not sqrt.
 
  • #10
Yes. Thank you.
 

FAQ: Calculating Kinetic and Potential Energy of a Falling Object

What is kinetic energy?

Kinetic energy is the energy an object possesses due to its motion. It is calculated by the mass of the object multiplied by its velocity squared, and is measured in joules (J).

What is potential energy?

Potential energy is the energy an object has due to its position or state. It can be further divided into gravitational potential energy, elastic potential energy, and chemical potential energy, depending on the type of energy involved. Potential energy is also measured in joules (J).

How are kinetic and potential energy related?

Kinetic and potential energy are both forms of mechanical energy, and they can be converted into each other. For example, when a rollercoaster car reaches the top of a hill, it has a maximum potential energy. As it goes down the hill, this potential energy is converted into kinetic energy. The total energy of the system (rollercoaster car and Earth) remains constant.

What factors affect the amount of kinetic and potential energy an object has?

The amount of kinetic energy an object has is directly proportional to its mass and the square of its velocity. The amount of potential energy an object has depends on its position or state, and the type of potential energy involved. For example, the higher an object is lifted, the greater its gravitational potential energy will be.

How is the conservation of energy principle related to kinetic and potential energy?

The conservation of energy principle states that energy cannot be created or destroyed, only converted from one form to another. This applies to kinetic and potential energy as well - the total energy of a system remains constant, even as the energy is converted between kinetic and potential forms. This principle is a fundamental concept in understanding the behavior of energy in the universe.

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