Relative energy of simple 2 particle system (confused )

Jonnyb42
Messages
185
Reaction score
0
Relative energy of simple 2 particle system (confused!)

Ok so I have a simple question which I feel I should know the answer to:

Setup:
Two particles of different mass.. say M and m (where M > m) are moving past each other by some constant velocity. If we view the energy of the system from m.. or fix our reference on m, we observe some energy of the total system.

Why is the energy of the system dependent on which particle we use as reference??
Shouldn't the energy of the system be the same regardless of reference frame?


(What I mean is, the energy is the total potential, plus the kinetic of the one that is moving. This energy is greater for the smaller mass, because it sees M moving with K = 1/2 M v^2, while the mass M sees m moving with K = 1/2 m v^2)

thanks
 
Physics news on Phys.org


Physics homework questions should be posted to the physics homework forum.
 


..this isn't a physics homework question.. just a wonder of mine
 


If your reference is attached to m, than that means you see the particle M traveling with kinetic energy 1/2Mv^2 while particle m has zero velocity, relative to M. If you were attached to M, than you would see the opposite. You would see kinetic energy 1/2mv^2. It's all relative brotha. I think you're being confused with the first law of thermodynamics, which states that energy cannot be created or destroyed. In this case it isn't. You're simply viewing energy from different perspectives.

Although, if you were an observer at rest watching the system of two particles traveling in opposite directions with M>m at constant velocity, what would you see?
 
Toponium is a hadron which is the bound state of a valance top quark and a valance antitop quark. Oversimplified presentations often state that top quarks don't form hadrons, because they decay to bottom quarks extremely rapidly after they are created, leaving no time to form a hadron. And, the vast majority of the time, this is true. But, the lifetime of a top quark is only an average lifetime. Sometimes it decays faster and sometimes it decays slower. In the highly improbable case that...
I'm following this paper by Kitaev on SL(2,R) representations and I'm having a problem in the normalization of the continuous eigenfunctions (eqs. (67)-(70)), which satisfy \langle f_s | f_{s'} \rangle = \int_{0}^{1} \frac{2}{(1-u)^2} f_s(u)^* f_{s'}(u) \, du. \tag{67} The singular contribution of the integral arises at the endpoint u=1 of the integral, and in the limit u \to 1, the function f_s(u) takes on the form f_s(u) \approx a_s (1-u)^{1/2 + i s} + a_s^* (1-u)^{1/2 - i s}. \tag{70}...
Back
Top