lec21 - *Relative motion change change the rate at which...

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1 LECTURE 21: Relativity *relative motion can change the rate at which time passes 11/9/10 2 The Relativity Postulate *The laws of physics are the same for all observers in all inertial reference frames. No frame is preferred. frames do not accelerate. Instead they move at constant velocities relative to each other. 11/9/10 3 The Speed of Light Postulate *The speed of light in vacuum has the same value c in all directions and in all inertial reference frames. c = 299, 792, 458 m/s 11/9/10 4 The Relativity of Simultaneity *If two observers are in relative motion, they will not, in general, agree as to whether two events are simultaneous. If one observer finds then to be simultaneous, the other generally will not.
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2 11/9/10 5 The Relativity of Time The time interval between two events depends on how far apart they occur, in both space and time, that is their spatial and temporal separations are entangled. 11/9/10 6 The Relativity of Time
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Unformatted text preview: *Relative motion change change the rate at which time passes. *The amount by which a measured time interval is greater than Δ t o , the proper time, is called time dilation . Δ t = Δ t o 1 − v c ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ 2 11/9/10 7 The Relativity of Time The time interval between two events depends on how far apart they occur, in both space and time, that is their spatial and temporal separations are entangled. Δ t = Δ t o 1 − v c ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ 2 β = v c and γ = 1 1 − 2 Δ t = Δ t o 11/9/10 8 The Relativity of Length *Length measurements is always less than Lo, the proper length, when there relative motion between inertial reference frames. *Relative motion causes length contraction L = L o 1 − 2 = L o 3 11/9/10 9 Lorentz Transformations *Valid for all physically possible speeds x ' = γ ( x − t ) y ' = y z ' = z t ' = ( t − vx c 2 ) y x y’ x’ v vt Event x x’ 11/9/10 10 VIDEO...
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