Lecture14_10 - Click to edit Master subtitle style Physics...

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Unformatted text preview: Click to edit Master subtitle style Physics 19 Great Ideas of Physics Lecture 14: Special Relativity Twins Paradox Again Stella and Terrence are twins Stella leaves Earth travelling at 0.6c, travels to a nearby star (3 light-years away) and returns Time dilation factor for v = 0.6c is = 1.25 For Terrence, it takes 5 years for Stella to reach the star, and 5 years to return Stellas Frame(s) A paradox appears to arise if we consider events from Stellas frame of reference (where Stella is stationary and Terrence is moving) According to Stella, Terrences clock is the one ticking slow Unlike other examples we have seen, Stellas frame is not symmetrical to Why Stella is Different During the outbound journey, Stella is in an inertial frame travelling at 0.6c away from the Earth During the return journey, Stella is in a different inertial frame travelling at 0.6c toward the Earth To change her direction, Stella must Stella Outbound According to Stella, the clocks on Earth and the destination are not synchronized The destination is 2.4 ly away (contracted from 3 ly) 2500 2501.8 2.4 light-years Stella Outbound According to Stella, the clocks on Earth and the destination are not synchronized The destination is 2.4 ly away (contracted from 3 ly) 2500 2501.8 2.4 light-years Experimental Evidence The dilation of time and contraction of length predicted by special relativity have been extensively tested. For macroscopic objects, traveling at low speeds, the effects are small, but can be measured in careful experiments For subatomic particles, which can be accelerated to almost the speed of light, the Example: Particle Accelerators Huge, multi-billion dollar facilities are built and operated based on the predictions of special relativity Particles are accelerated at speeds up to 0.999999999997 of the speed of light Example: Cosmic Rays Subatomic debris from space (protons and nuclei) produces energetic particles called muons about 15 km above the Earths surface At rest, muons survive for only 2.2 At rest, muons survive for only 2....
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This note was uploaded on 11/26/2010 for the course PHYS Physics 19 taught by Professor Davidcasper during the Spring '10 term at UC Irvine.

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Lecture14_10 - Click to edit Master subtitle style Physics...

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