Exam 28: Special Relativity

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Complete the following statement: To measure the proper length of an object moving relative to the surface of the earth, one must note the coordinates of points on the front and back ends

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Leah is moving in a spaceship at a constant velocity away from a group of stars. Which one of the following statements indicates a method by which she can determine her absolute velocity through space?

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A subatomic particle X spontaneously decays into two particles, A and B, each of rest energy 1.40 × 102 MeV. The particles fly off in opposite directions, each with speed 0.827c relative to an inertial reference frame S. -Determine the kinetic energy of particle B (relative to frame S).

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Two helium-filled balloons are released simultaneously at points A and B on the x axis in an earth-based reference frame. Which one of the following statements is true for an observer moving in the +x direction? Two helium-filled balloons are released simultaneously at points A and B on the x axis in an earth-based reference frame. Which one of the following statements is true for an observer moving in the +x direction?

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An alien spacecraft flies directly over a football stadium at a speed of 0.50c. If the proper length of the field is 100 yards, what field length is measured by the crew of the alien spacecraft?

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The Milky Way galaxy is a part of a group of galaxies called the Local Group. The proper distance from the Milky Way, on one side of the Local Group, to the M31 galaxy on the other side is approximately 2.4 × 106 light-years. How long (in years) would it take a spaceship traveling at 0.999c to travel this distance according to travelers onboard?

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A subatomic particle X spontaneously decays into two particles, A and B, each of rest energy 1.40 × 102 MeV. The particles fly off in opposite directions, each with speed 0.827c relative to an inertial reference frame S. -Which expression gives the momentum of particle A (relative to frame S)?

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An electron gun inside a computer monitor sends an electron toward the screen at a speed of 1.20 × 108 m/s. If the mass of the electron is 9.109 × 10-31 kg, what is the magnitude of its relativistic momentum?

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A space ship at rest on a launch pad has a mass of 1.00 × 105 kg. How much will its energy have increased when the ship is moving at 0.600c?

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Rocket A travels with speed 0.800c relative to the earth. Rocket B passes rocket A with speed 0.500c relative to rocket A. Determine the speed of rocket B relative to the earth. Assume that the earth is an inertial reference frame. Rocket A travels with speed 0.800c relative to the earth. Rocket B passes rocket A with speed 0.500c relative to rocket A. Determine the speed of rocket B relative to the earth. Assume that the earth is an inertial reference frame.

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In a science fiction novel, a starship takes three days to travel between two distant space stations according to its own clocks. Instruments on one of the space stations indicate that the trip took four days. How fast did the starship travel, relative to the space station?

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A spaceship leaves our solar system at a constant speed of 0.920c and travels to a point in the Andromeda galaxy. According to astronomers in an inertial reference frame on Earth, the distance to the galaxy is 2.081 × 1022 m. What distance does the crew on the ship measure on its journey?

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Determine the total energy of an electron traveling at 0.98c.

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The rest energy of a block is E0. Relative to inertial observer O, the block is moving with speed v so that The rest energy of a block is E<sub>0</sub>. Relative to inertial observer O, the block is moving with speed v so that   -Which one of the following table entries is correct? -Which one of the following table entries is correct?

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The starship Enterprise approaches the planet Risa at a speed of 0.8c relative to the planet. On the way, it overtakes the intergalactic freighter Astra. The relative speed of the two ships as measured by the navigator on the Enterprise is 0.5c. At what speed is Astra approaching the planet?

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A meter stick is observed to be only 0.850 meters long to an inertial observer. At what speed, relative to the observer, must the meter stick be moving?

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In the year 2100, an astronaut wears an antique, but accurate, "quartz" wristwatch on a journey at a speed of 2.0 × 108 m/s. According to mission control in Houston, the trip lasts 14 hours. How long was the trip as measured on the watch?

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During each hour of flight, a large jet airplane consumes 3330 gallons of fuel via combustion. Combustion releases 1.25 × 106 joules/gallon. One gallon of fuel has a mass of 2.84 kg. Calculate the energy equivalent of 3330 gallons of fuel and determine the ratio (in percent) of this energy equivalent to the amount of energy released by combustion in one hour of flight.

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A particle travels at 0.60c. Determine the ratio of its kinetic energy to its rest energy.

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