John's rocket is flying towards the Earth at 0.8c. John uses an IR probe beam to image the atmosphere of the Earth. A detector on the Earth measures the speed of the incoming beam to be what ?
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John's rocket is flying towards the Earth at 0.8c. John uses an IR probe beam to image the atmosphere of the Earth. A detector on the Earth measures the speed of the incoming beam to be what ?
(Answer should have c in it)
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- Electromagnetic radiation from a star is observed with an earth-based telescope. The star is moving away from the earth with a speed of 0.590c. If the radiation has a frequency of 8.64 x 10 Hz in the rest frame of the star, what is the frequency measured by an observer on earth? a) Of = 4.39 x 1014 Hz b) Of = 4.93 x 1014HZ c)Of = 4.45 x 1014 Hz d) Of = 4.39 x 1015 Hz e) Of = 4.69 x 1014 HzThe nearest star to Earth is Proxima Centauri, which is 4.3 light years away. The spacecraft Potemkin is sent to this star at a constant velocity of 0.73c, and the craft carries a light beacon that flashes once a day to signal the earth that all is well. While traveling to the star the Potemkin passes a similar ship returning from the star at the same speed. How long does the trip take according to the space travelers inside the Potemkin? (b) (a) How long does the trip take according to Earth observers? (c) According to the space travelers inside the Potemkin, what is the distance to Proxima Centauri? (d) What is the speed of the returning craft as seen from the Potemkin What is the rate at which flashes are seen on Earth from the Potemkin? (e) (f) What is the rate of flashes sent by the returning craft as seen by the Earth observers?What is the kinetic energy of an electron if its speed is 0.992c?
- A very fast-moving train car passes you, moving to the right at 0.50c. You measure its length to be 12 m. Your friend David flies past you to the right at a speed relative to you of 0.80c. How long does David measure the train car to be?A spaceship travels at 0.698c relative to Earth. If the spaceship fires a small rocket in the forward direction, how fast (relative to the ship) must it be fired for it to travel at 0.942c relative to Earth?? cTwo spaceships are moving along the line connecting them. One of the spaceships shoots a missile towards the other. The missile leaves the attacking spaceship at 0.955c and approaches the other at 0.755c. What is the relative velocity of the two spaceships? Express it as a ratio to the speed of light. Let the relative velocity of the spaceships be positive if they are approaching each other and negative if they are moving apart from one another.
- You are on Earth, and a spaceship nearby is traveling at 0.85c. By your clock, 5.50 hours have passed. You compare your clock with the one on the spaceship. How much time has elapsed, as measured by the spaceship's clock?A particle whizzes through your lab at a speed of 0.74c. Your detectors determine that its lifetime was 1.1ns. Find its lifetime in the particle's reference frame. Please give your answer in nanoseconds.As a spacecraft is travelling toward Earth at a speed of 0.8c, it directs a laser beam forward and you observe it while sitting stationary on a park bench. What is your measurement of the speed of light? Why What is the relativistic mass of an electron with a rest mass of 9.11 × 10-³¹ kg when it travels at 0.92c?
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