Conservation of energy and gravity

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Discussion Overview

The discussion revolves around the concepts of gravitational potential energy, work done by gravity, and the distinction between internal and external forces in the context of a falling ball. Participants explore these ideas through different system boundaries, considering both the ball and the Earth as a system and the ball alone.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant expresses confusion about the role of gravity and work when considering the ball and Earth as a system versus the ball alone.
  • Another participant asserts that the gravitational field does work on the ball, resulting in a loss of potential energy (PE) and a gain in kinetic energy (KE), regardless of the system boundary.
  • A question is raised about the difference between internal and external forces, with a reference to the idea that gravity can be viewed as a negative potential at infinity.
  • It is suggested that potential energy is arbitrary and depends on the chosen reference points, with the notion that the boundaries of a system influence the analysis of energy.
  • A later reply emphasizes that discussing energy requires clear system boundaries and acknowledges that system boundaries are often drawn without explicit consideration.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the definitions and implications of internal versus external forces, nor on the treatment of potential energy in different system contexts. Multiple competing views remain regarding how to conceptualize gravitational potential energy and work.

Contextual Notes

Participants highlight the dependence on system boundaries and reference points when discussing energy, indicating that assumptions about these boundaries can lead to different interpretations of gravitational potential energy and work.

kykk
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I am a bit confuse about gravity and work
Suppose a ball falls from one height to another, hi to hf

When talking about the system BE the ball AND the earth, all the work done is internal, and no external work, change in KE = change in PE, right?

But when talking about the system B of just the ball only,
total energy of the system B increase? because external force gravity is doing work on the ball?

Change in KE increase, I know that, .5mv^2, velocity increase
But what about PE? if gravity is external force, then the ball doesn't have potential energy to start with at hi ? So potential energy are only for a system that includes earth?

Am I looking at these... gravitational potential energy and work stuff all wrong?
 
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Falling in gravity, the gravitational field does work (loss in PE) on the ball (which gains KE).

The ball still has PE in the case where it is treated by itself because there is a gravitational force acting on it.
Doesn't matter if the forces are internal or external. The PE comes from the field.
 
What's the difference between internal and external forces??
I don't know if this will help but I remember gravity is a negative potential as at infinity away from mass potential is zero. I don't know what you mean by system B and A are as I imagine they are the same system because the Ball has equal pull on the Earth as the Earth does on the ball; as Simon Said "The PE comes from the field."
 
It may also be helpful to remember that potential energy is entirely arbitrary. It doesn't matter what's in your snapshot of a system, all that matters is that you have a conservative force (e.g. gravity) and two points of reference. As a matter of fact, you could put the ball on the ground and say it has potential energy, it just won't do you a lot of good, because it isn't likely to fall then.

Toneboy, in my view, internal and external forces are almost the same thing, it's just a matter of where you put the boundaries of your system.

As a real humdinger to get you exploring these concepts, take Newton's Third Law of action/reaction pairs. How, if this is true, can there ever be an external force?
 
Am I looking at these... gravitational potential energy and work stuff all wrong?

Looks ok to me.

What Denver said. You can't talk about the energy of the ball without reference to a system boundary. When you talk about the ball having KE = 0.5mV^2 the velocity term implies a system boundary. For example one that allowed you to ignore the fact that the Earth is spinning and orbiting the sun.

We draw system boundaries all the time without really thinking about it. For example when looking at conservation of energy for a light bulb we worry about the amount of electricity going in and light and heat coming out. We ignore the fact that the light bulb has gained PE when we fixed it to the ceiling.
 
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