Lect16_[Compatibility_Mode]

Lect16_[Compatibility_Mode] - Physics 344 Foundations of...

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Physics 344 Foundations of 21 st Century Physics: Relativity, Quantum Mechanics and heir Applications Their Applications Instructor: Dr. Mark Haugan Office: PHYS 282 haugan@purdue.edu TA: Dan Hartzler Office: PHYS 7 dhartzle@purdue.edu Grader: Shuo Liu Office: PHYS 283 liu305@purdue.edu Office Hours: If you have questions, just email us to make an ppointment. e enjoy talking about physics! appointment. We enjoy talking about physics! Reading: Chapter 10 of the text. Notices: Homework due Thursday – skip Prob. 3 (we’ll solve it together) larification regarding Prob 4 Clarification regarding Prob. 4 Exam I will be at 8:00pm Thursday, October 7 in MTHW 210
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4. Problem R5A.1 from the text. The problem gives an expression for the x coordinate of the position of the spacecraft as a function of the time that is supposed to be valid during the time interval t = 0 to 1 hr. Is there a limit to how much longer before and after those times the expression could represent the craft’s position? Briefly explain your answer. Rephrasing: Does the expression for x(t) in the Home frame become unrealistic, unphysical anywhere outside the time interval t = 0 to 1 hr? Recitation tomorrow – two problems with the coming exam and next week’s homework in mind.
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The Principle of Relativity (Revisited) Recall the text’s final formulation of this principle. The laws of physics are the same in all inertial reference frames. his expresses well enough the idea that physics and the laws that govern it This expresses well enough the idea that physics and the laws that govern it are independent of the inertial frame in which a physicist makes her predictions and observations, but it is odd that we have to refer to the form that laws like the momentum principle and Maxwell’s equations take in a reference frame to Our introduction of frame-independent objects like scalar (mass and charge) and 4-vector (4-velocity and 4-momentum) properties of particles gives us make the point that what the laws predict is independent of any frame. a way to avoid this oddness and to begin to understand special relativity as modern physicists do. The conceptual advantage offered by such objects is that we can construct frame-independent relationships among them to express the laws of physics directly. We re-express the principle of relativity as The laws of SR physics are frame-independent relationships etween frame dependent physical properties between frame-independent physical properties. This guarantees that the representations of the laws in an inertial frame will have the same form. They are representations of the same underlying thing.
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4-Momentum and the 4-Momentum Principle The 4-momentum of a particle is one of the ingredients that we need in order to formulate the momentum principle in a frame-independent way.
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Lect16_[Compatibility_Mode] - Physics 344 Foundations of...

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