Exam 19: Relativity

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If Michelson and Morley had performed a version of their experiment with sound waves, they would not have "heard a fringe shift" in which of the following cases?

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Which of the following statement(s) is (are) a consequence of Einstein's postulates?

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Einstein's Second Postulate states that nothing can travel faster than the speed of light. The momentum of a particle of rest mass m

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An airplane flies from point A to point B, a distance of 100 km, and back again with an airspeed of 250 km/h. What is the difference in the time for this round trip on a day when a wind of speed 50.0 km/h blows from A toward B and on a day when a wind of speed 50.0 km/h blows in a direction perpendicular to AB?

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If one gram of matter could be completely converted into energy, the yield would be

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A radioactive atom is traveling through the laboratory at a speed of 0.2c when it undergoes beta decay. The emitted electron moves in the same direction as the atom and has a speed of 0.9c relative to the atom. The speed of the electron, as seen by an observer in the laboratory, is

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You place two clocks that you consider to be synchronized on a road 100 m apart. Your friend drives by at speed V and observes the clocks to be out of sync by an amount T. When you place the clocks 200 m apart and your friend drives by at speed 2V, by what amount will your friend claim the clocks to be out of sync?

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The principle of Newtonian relativity predicts that

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A particle accelerator collides beams of protons and anti-protons with equal and opposite momenta. The aim of an experiment is to create a possible new massive particle with neutral charge and a mass 6 times that of a single proton. Calculate the necessary speed of the protons (and anti-protons) in the collision as a % of the speed of light.

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What is the speed of an electron whose kinetic energy equals its rest mass?

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You measure the length of a passing Imperial Starcruiser spacecraft to be 100 m. If the Starcruiser is moving at 80% the speed of light, what would be its length if it was at rest relative to you?

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As an object of mass M approaches the speed of light, its momentum approaches

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A standard Canadian football field is 100 m long and 60 m wide. A UFO streaks from one end of the field to the other at a speed of 0.6c relative to the players on the field. An observer in the UFO measures the length of the field to be

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An electron traveling at 0.980c has a total energy of

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The results of the Michelson-Morley experiment can be interpreted to indicate that if an ether exists,

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At what speed would an electron's mass be measured as 4 times its rest mass?

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The total yearly world consumption of energy is approximately 4.0 * 1020 J. How much mass would have to be completely converted into energy to provide this amount of energy?

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What is the momentum of an electron whose kinetic energy equals its rest mass, m?

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   Systems S and S' are in relative motion as indicated in the sketch. Metersticks and clocks in S' agree with metersticks and clocks in S when t = t' = 0. An observer in S' notes that two events occuring at x<sub>1</sub>' and x<sub>2</sub>' are simultaneous; i.e. \Delta x' > 0 and  \Delta t' = 0 for the observer in S'. An observer in S, seeing the same two events, may find that Systems S and S' are in relative motion as indicated in the sketch. Metersticks and clocks in S' agree with metersticks and clocks in S when t = t' = 0. An observer in S' notes that two events occuring at x1' and x2' are simultaneous; i.e. Δ\Delta x' > 0 and Δ\Delta t' = 0 for the observer in S'. An observer in S, seeing the same two events, may find that

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A pion lives 26 ns in its rest frame. It travels 15 cm down a beam pipe in a particle accelerator before it decays into other particles. How far is this in the rest frame of the pion?

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