Conceptual Question about reference frames

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Homework Help Overview

The discussion revolves around the concept of kinetic energy and its conservation across different inertial reference frames. Participants explore whether kinetic energy remains the same in all inertial frames and if energy conservation holds for interacting objects in these frames.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants share their reasoning regarding the variability of kinetic energy based on reference frames, with some using thought experiments involving collisions. Questions arise about the implications of different frames on energy conservation.

Discussion Status

There is an ongoing exploration of the concepts, with participants offering their logic and reasoning. Some guidance has been provided regarding the relationship between reference frames and kinetic energy, but no consensus has been reached on the correctness of the initial responses.

Contextual Notes

Participants are considering the implications of classical mechanics and special relativity in their discussions, noting that observations of kinetic energy can differ based on the chosen inertial frame.

kikko
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Homework Statement



Do objects same kinetic energy in all inertial reference frames?
For objects interacting, is energy conserved in all inertial reference frames?


Homework Equations



None


The Attempt at a Solution



I think the answers are No for the first one, and Yes for the second one. Am I right?
 
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what is your logic or thought experiment for getting these answers?

Some people think in terms of billiard balls and consider what happens when they collide.
 
My logic is that since depending on what reference frame you are in, you view different objects at rest, so they'd have different amounts of kinetic energy.

My logic for the 2nd is that intertial reference frames obey the same laws of physics, so energy will be conserved. Am I correct with both responses?
 
kikko said:
My logic is that since depending on what reference frame you are in, you view different objects at rest, so they'd have different amounts of kinetic energy.

My logic for the 2nd is that intertial reference frames obey the same laws of physics, so energy will be conserved. Am I correct with both responses?
I think your answers are correct. Here's my logic for the first one:

I'm standing by the road and a car whizzes by at 60mph so its energy is 1/2 m v^2
Next I'm in a car going 60 mph along side the other car so to me his velocity is 0mph hence 0 energy

so I conclude the kinetic energy of an object is relative to my frame of reference

I'll let you consider a thought experiment for the second one.
 
Observations of speed, and therefore, kinetic energy, can differ depending on which inertial frame of reference one is considering. This applies in both Galilean (Classical) and Special Relativity.

Energy, momentum, etc. are conserved in all inertial frames of reference. This is also true in both Classical and Special Relativity.
 

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