Consequences of Einsteins Relativity Chapter 17 3 April

Consequences of Einstein's Relativity Chapter 17 3 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=mc 2 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=mc 2 Twin Co-exist

Einstein's Postulates 1. 2. Laws of Physics same in all inertial frames Speed of Light constant for all observers, regardless of speed of source Newton Einstein Doppler E=mc 2 Twin Co-exist

Implications of Einstein's Postulates 1. Relativistic Doppler Effect 2. Mass-Energy Equivalence 3. Twin "Paradox" 4. Coexistence/Simultaneity Newton Einstein Doppler E=mc 2 Twin Co-exist

Relativistic Doppler Effect • • observer and source passing car observed frequency altered actual velocity is constant big bang theory- 45 s Newton Einstein Doppler E=mc 2 Twin Co-exist

Mass-Energy Equivalence : energy relative to observer Application of Lorentz to electromagnetics: Newton Einstein Doppler E=mc 2 Twin Co-exist

Mass-Energy Equivalence minute physics (14 s) Newton Einstein Doppler E=mc 2 Twin Co-exist

Twin Paradox video Newton Einstein Doppler E=mc 2 Twin Co-exist

Twin Paradox video Newton Einstein Doppler E=mc 2 Twin Co-exist

Twin Paradox video Newton Einstein Doppler E=mc 2 Twin Co-exist

Twin Paradox -Not both in inertial frames! -Accelerations during turnaround video Newton Einstein Doppler E=mc 2 Twin Co-exist

Coexistence & Simultaneity -Different observed times depending on inertial frame lightning train minute physics moving cart Newton Einstein Doppler E=mc 2 Twin Co-exist

Examples GPS Molecule Lightning Train Compressed Spring Newton Einstein Doppler E=mc 2 Twin Co-exist

Wrap Up Questions? Newton Einstein Doppler E=mc 2 Twin Co-exist