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Consequencesof
Einstein's Relativity
Chapter 173 April 2013
Jeff Ulrich and Joel Hlavaty
Overview
Overview
• Newton's Laws
• Einstein's Postulates and the Implications
• Relativistic Doppler Effect
• Mass-Energy Equivalence
• Twin Paradox
• Coexistence/Simultaneity
Newton Einstein Doppler E=mc2 Twin Co-exist
Newton's Laws
1. Rest stays at rest, motion stays in motion
2. F = ma
3. Equal and opposite reaction
Newton Einstein Doppler E=mc2 Twin Co-exist
Einstein's Postulates
Laws
of Physics
Speed
of Light
Newton Einstein Doppler E=mc2 Twin Co-exist
same in all inertial frames
constant for all observers,
regardless of speed of source
1.
2.
Implications of Einstein's Postulates
1. Relativistic Doppler Effect
2. Mass-Energy Equivalence
3. Twin "Paradox"
4. Coexistence/Simultaneity
Newton Einstein Doppler E=mc2 Twin Co-exist
Relativistic Doppler Effect
• observer and source
• passing car
• observed frequency altered
• actual velocity is constant
big bang theory- 45s
Newton Einstein Doppler E=mc2 Twin Co-exist
Mass-Energy Equivalence
: energy relative to observer
Application of Lorentz to electromagnetics:
Newton Einstein Doppler E=mc2 Twin Co-exist
Mass-Energy Equivalence
Newton Einstein Doppler E=mc2 Twin Co-exist
minute physics (14s)
Twin Paradox
video
Newton Einstein Doppler E=mc2 Twin Co-exist
Twin Paradox
video
Newton Einstein Doppler E=mc2 Twin Co-exist
Twin Paradox
video
Newton Einstein Doppler E=mc2 Twin Co-exist
Twin Paradox
-Not both in inertial frames!
-Accelerations during turnaround
video
Newton Einstein Doppler E=mc2 Twin Co-exist
Coexistence & Simultaneity
-Different observed times depending on inertial frame
lightning train
minute physics
moving cart
Newton Einstein Doppler E=mc2 Twin Co-exist
Examples
GPS
Molecule
Lightning Train
Compressed Spring
Newton Einstein Doppler E=mc2 Twin Co-exist
Wrap Up
Questions?
Newton Einstein Doppler E=mc2 Twin Co-exist
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