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