Lecture 11

Special Relativity and Space Travel

Key Concepts:

  1. What is Relativity?
  2. What is Special Relativity?
  3. How are time, length, and mass affected at high speed?
  4. Can we travel to a star hundreds of light years away?

What is Relativity?

  • Measurements of motion, time, and space make sense only when we describe whom or what they are being measured relative to -- there are no absolute answers.


  • Classical or "Newtonian" Relativity



  • TWO things in the universe are absolute:

    • The laws of nature are the same for everyone.

    • The speed of light is the same for everyone.


"Special Relativity" at High Speeds

Time dilation

  • time differs in different reference frame
  • time runs slower in the reference frame of anyone moving relative to you

Relativity of Simultaneity:

  • sequence of events are not absolute and dependent on the observer's frame
  • A sample problem is here


  • Length Contraction

    • lengths (or distances) differs in different reference frame
    • lengths of objects in the reference frame of anyone moving relative to you are shorter in their direction of motion

    Mass Increase

    • objects moving relative to you have greater mass than they have at rest.
    • the kinetic energy (mass) of an object with velocity approaching the speed of light would approach infinity.

    Quiz 11b: A Fast Parking Job...


    Space Travel: more plausible than you think?


  • For those interested, look up the "Twins Paradox in Special Relativity" on Google.
  • Experimental tests of the Theory of Special Relativity can be found here

  • Reading assignment for next lecture: Chapter 16 (p.522-p.540)