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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