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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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- Spring '08
- Special Relativity, Speed of light, Spacetime, ΔT, inertial reference frames, Lo γ