GPE and KE - Help with AS Physics Coursework

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Discussion Overview

The discussion revolves around the concepts of gravitational potential energy (GPE) and kinetic energy (KE) in the context of an object being lifted and then dropped. Participants explore the relationship between GPE and KE, particularly during the process of falling, and the implications of energy conservation in this scenario.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant expresses confusion about whether GPE converts entirely to KE at once or gradually as the object falls.
  • Another participant asserts that during the fall, GPE is gradually converted to KE, emphasizing that not all energy is converted at once.
  • A further explanation highlights that the potential energy decreases as height decreases, while KE increases, maintaining a constant total energy throughout the fall.
  • Some participants challenge the idea that GPE and KE are inversely proportional, arguing that this misunderstanding stems from a lack of clarity between the concepts of sum and product in energy conservation.

Areas of Agreement / Disagreement

Participants generally agree on the principle of energy conservation, stating that the total energy remains constant. However, there is disagreement regarding the nature of the conversion between GPE and KE, with some participants emphasizing gradual conversion while others seem to misunderstand the relationship.

Contextual Notes

Some assumptions about the system being a "no loss" system are made, which may not account for real-world factors such as air resistance. The discussion does not resolve the misunderstanding about the inverse relationship between GPE and KE.

Who May Find This Useful

This discussion may be useful for students studying physics, particularly those working on coursework related to energy concepts and conservation laws.

meawinner
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GPE and KE...please help! argh

Hi I am just finishing my AS physics coursework and just as i thought i understood it someone tells me something else. When you pick up an object i understand that it gains GPE and the amount of this depends on the height it is picked up to, hence GPE = mgh. But when you drop the object what happens to the energy? Does it all suddenly convert to KE, or when it is falling does the GPE gradually turn to KE?

In my coursework i calculated GPE and KE, assuming they should be roughly the same values and they were but then some1 said to me that they should be inversely proportional to each other.

Can some1 please help me thank-you.

meawinner
 
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just think about conservation of energy. when the object is falling, the height changes, by virtue of energy conservation, the object gains kinetic energy.
 
If you lift a ball to some heigth h, you obtain a potential energy due to gravity that is equal to mgh. When the ball drops, the energy is gradually converted to KE, not all at once. To emphasize this point, imagine dropping the ball from heigth h. A friend catches the ball at height h/2. Since we already know the formula for potential energy due to gravity, our new potential would be equal to mgh/2. The ball still maintains an energy potential that was not converted to kinectic. All the potential energy is converted to kinetic energy at a time (only at the instantaneous moment right before impact) when h=0 after the point of release.
 
Last edited:
meawinner said:
In my coursework i calculated GPE and KE ...
some1 said to me that they should be inversely proportional to each other.
meawinner

As are implied by Dr Transport's and quantum mechanic's replies, the conversion of potential energy into kinetic energy (or vice versa in other situations) is a gradual process.

When we have energy conservation, it means that the SUM of kinetic energy and potential energy remains equal at all times.

Those who told you that the kinetic energy should be inversely proportional to the potential energy are totally wrong; they haven't learned the elementary distinction between a sum and a product.
 
The sum of the energys must remain constant. (this is a no loss system of course!)

So Total Energy = Potential Energy + Kinetic Energy

This is true at each point of the fall.
 

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