1. A rocket ship carrying passengers blasts off to go from New York to Los Angeles, a distance of about 5000. km. (a) How fast must the rocket ship go to have its own length shortened by 1%? (b) Determine how much time the rocket ship's clock and the ground-based clocks differ when the rocket ship arrives in Los Angeles.
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- A clock is moving at v =(4/5)c. c is the speed of light. The clock passes our clock when both clocks read t = 0. When the moving clock reads t = 30 s, what will the clocks in our frame read?You and your secret celebrity crush pass each other in rockets that are each traveling 0.56c relative to the other. Your secret celebrity crush takes a nap and you decide to time how long the nap takes. In your frame, the nap takes 1.7 h. How long was the nap in your secret celebrity crush's frame? Unbeknownst to you, your secret celebrity crush's agent is onboard the celebrity's rocket and saw you timing the nap. Concerned, the agent decides to time how long you were timing the nap. In the agent's frame, how long were you timing your secret celebrity crush's nap?12. Starship "A" is traveling at 0.8c with respect to the identical starship "B". Each starship has rest length 10000 m. The ship's engineer aboard the "B" ship measures the length of the "A" ship as it passes by his window. What result should he get? 12500 m O 15000 m 6000 m 8000 m None of the answers
- A particle has a rest mass of 6.35 × 10¯ kg and a momentum of 5.39 × 10-¹8 kg.m/s. Determine the total relativistic energy E of the particle. 1.67 ×10-⁹ E = Incorrect Find the ratio of the particle's relativistic kinetic energy K to its rest energy Erest. K 1.93 Erest || IncorrectTwo spaceships are traveling with a relative velocity of 2.76 x 10^8 m/s. Both carry identical clocks. According to the captain of each ship, the other captain s clock ticks more slowly than his own. By what factor do the two clocks disagree? 3.07 4.10 4.61 2.561. You are an observer in a 100-m long spacecraft traveling from the earth to the moon at 0.8c. (a)What is the proper length of the spacecraft? (b) For a proper time interval of 1 sec., the relativistic time interval for the spacecraft measured from the earth reference frame would be: (c)Time dilation does not apply to all time-dependent physical and biological processes. T/F? (c) What is the relativistic length, DL measured from the reference frame of earth? (d) An APOLLO crew left a flat mirror reflector on the surface of the moon (for all you deniers out there, in the 50th anniversary year of APOLLO 11!). If the average surface-to-surface distance from the earth to the moon is 3.83 x 10^8 m, then how long does it take moonlight to reach earth?
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- 2. Please help me answer these questions, well explained. A spacecraft travelling at a speed of 0.95 c goesfrom the planet Jupiter to the planet Pluto. A. If an observer on planet Jupiter mesures thelength of the vessel as 55 m, how long is it when it is stationary? B. A monkey inside the ship has a pulse of 116beats/min when he is on the earth. What is his pulse inside the ship?Two spaceships are traveling with a relative velocity of 2.63 x 10^8 m/s. Both carry identical clocks. According to the captain of each ship, the other captain s clock ticks more slowly than his own. By what factor do the two clocks disagree? 3.54 3.95 2.08 2.501. A cosmic ray particle enters the Earth's atmosphere at 97% of the speed of light (0.970c). The proper time of travel to the ground is 2.749 x 10 sec. What is the relativistic, 'dilated' time? 2. The Starship Enterprise, according some Trekkie analysts, is 300 meters long. If it is traveling at 0.952c, what would its length, L, be as seen from Earth? [Ch 28] 3. A given photon has a frequency of 6.5 x 10" sec". What is this photon's energy? CHAPTER 29-30 The electron in a hydrogen atom undergoes a transition from the 2nd excited state (n-3) to the ground state (n-1).* How much energy, in eV, will be given off by the electron? Use three significant figures. Note that, for hydrogen, E, =-13.6 eV. *This is a transition in the Lyman series, which involves transitions between n= 1 and higher states. The wavelengths are in the ultraviolet. The Balmer series, which involves transitions between n 2 and higher states, yields light in the visible.