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Einstein’s Theory of Special Relativity

Einstein’s Theory of Special Relativity. Einstein’s Theory of Special Relativity. Special – different frames of reference moving at high velocities relative to each other with no acceleration(s). Einstein’s Theory of Special Relativity.

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Einstein’s Theory of Special Relativity

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  1. Einstein’s Theory of Special Relativity

  2. Einstein’s Theory of Special Relativity • Special – different frames of reference moving at high velocities relative to each other with no acceleration(s).

  3. Einstein’s Theory of Special Relativity • Law #1 – the laws of physics are the same in all non-accelerating reference frames. • Law #2 - the speed of light ( c ) is the same in all non-accelerating reference frames.

  4. Einstein’s Theory of Special Relativity • Time dilation • Length contraction • Loss of simultaneity

  5. Einstein’s Theory of Special Relativity

  6. Einstein’s Theory of Special Relativity • ( Β ) = v/c • ( γ ) = 1 / (1-(Β2)) ½

  7. Time dilation t’ = γ t

  8. Time dilation • Your spouse was born on the same day as you. • He/She leaves on a voyage to the star Tau Ceti • The distance to Tau Ceti is twelve light years. • The ship will travel at an average speed of .98c there and back again. • The ship will explore the star system for one (earth) year. • How much older will you be when your spouse returns? • How much older will your spouse be? • What will be your age difference?

  9. Length contractionL’ = Lo / γ • A runner goes past you with velocity of .85c holding a pole with a proper length of 20 meters. • What length do you measure the pole? • How long does the pole appear to the runner?

  10. Length contractionL’ = Lo / γ

  11. Loss of simultaneity

  12. Loss of simultaneity

  13. Mr. Tompkins

  14. Mr. Tompkins

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