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# Einstein’s Theory of Special Relativity - PowerPoint PPT Presentation

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

• 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.

• Time dilation

• Length contraction

• Loss of simultaneity

• ( Β ) = v/c

• ( γ ) = 1 / (1-(Β2)) ½

Time dilation t’ = γ t

• 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?

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?

Length contractionL’ = Lo / γ