phys3313-lec3 - Physics 3313 - Lecture 3 Monday August 31,...

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Physics 3313 - Lecture 3 8/31/2009 1 3313 Andrew Brandt Monday August 31, 2009 Dr. Andrew Brandt HW1 Assigned due 09/09/09 Relativistic momentum and energy
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Velocity Addition (Appendix) ~Worth reading 1.6 on connection of electricity and magnetism; electric charge Q is relativistically invariant (same in all frames). Galilean Velocity addition where and From inverse Lorentz transform and So Thus (relativistic velocity addition formula); For gives Observer in S frame measures c too! Strange but true! 3313 Andrew Brandt 2 ' xx v vv = + x dx v dt = ' ' ' x dx v dt = '' () dx dx vdt γ = + 2 v dt dt dx c = + ' ' 2 x dx dx vdt dt v v dt dt dt dx c + == ÷= + ' x vc = 2 2 1 x cv ccv cv cc v c ++ = = + + ' ' ' 2' 1 dx v dt v dx c dt + = + ' ' 2 1 x x x v vv c + = +
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Velocity Addition Example Lance is riding his bike at 0.8c relative to observer. He throws a ball at 0.7c in the direction of his motion. What speed does the observer see? What if he threw it just a bit harder? Doesn’t help—asymptotically approach c, can’t exceed it (it’s not just a postulate it’s the law) 2 .7 .8 0.962 .7 .8 1 x cc vc c + = = × + 8/26/2009 3 3313 Andrew Brandt ' ' 2 1 x x x vv v vv c + = +
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Relativistic Momentum So for relativity Galilean transform replaced by Lorentz transform What about Newton’s laws?
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This note was uploaded on 10/21/2009 for the course PHYS PHYS 3313 taught by Professor Andrewbrandt during the Fall '09 term at UT Arlington.

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phys3313-lec3 - Physics 3313 - Lecture 3 Monday August 31,...

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