Suppose a news report stated that starship Enterprise had just returned from a 5-year voyage while traveling at 0.74c. (a) If the report meant 5.0 years of Earth time, how much time elapsed on the ship?
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A: in this question we determine time in and distance in light year.
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- Your clocks and calendars are synchronized with the clocks and calendars in a star system exactly 10 ly from earth that is at rest relative to the earth. You receive a TV transmission from the star system that shows a date and time display. The date it shows is June 17, 2050. When you glance over at your own wall calendar, what date does it show?An astronaut left Earth in a spaceship at a speed of 0.95c relative to an observer on Earth. The astronaut traveled to a star system 16.5 LY away. Neither the astronaut, nor the observer on Earth agreed how long trip took. Let Earth represent the rest frame What is proper length? Who has the proper length? Who has the proper time? what is the proper time? What is the difference between the passage of time recorded by someone on Earth versus someone on the spaceship. rest frame a. Who had proper length?1. 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?
- Answering an emergency beacon, Captain Jack leaves the Earth on a rescue mission at 0.60c, arriving at the beacon 1.5 years later (as measured on the Earth). He immediately jumps on a return ship heading back at 0.80c, relative to the Earth. How long does the round-trip take, according to Captain Jack?A ship is heading off to Bernard's star at 0.700c. As it passes a space station (at rest with respect to the Earth) a few days out from Earth, the ship fires a "photon torpedo" in the forward direction and another in the reverse direction. the torpedoes have a speed relative to the ship of 0.700c. On a space-time diagram, determine the direction and speed of each torpedo as seen by the station. Check your answers using the relativistic addition of velocities formula.In 2030, the Australian Space Agency launches a spaceship to our nearest neighbour Alpha Centauri, approximately 4 lightyears away. According to a clock on Earth how long will the rocket take to get there if it travels at v=0.999c=299482km/s (where 'c' is the speed of light equal to 299782km/s)? About 2 years. O About 6 years. O About 4 years. Zero time.
- An astronaut at rest on Earth has a heartbeat rate of 61 beats/min. When the astronaut is traveling in a spaceship at 0.91c, what will this rate be as measured by an observer also in the ship and an observer at rest on Earth? (a) an observer also in the ship beats/min (b) an observer at rest on Earth beats/minAn astronaut travels to the next star at a speed of 0.95c and back. He notices that his trek has taken him 11 years. When he returns, how much time will have elapsed on Earth during his absence?You and vouur archenemy pass each other in rockets that are each traveling 0.2c relative to the other. You observe that your rocket (which you have measured to be 281 m Jong ten times as long as your archenemy's spaceship. How long is your rocket in your archenemy's frame? How long is your archenemy's rocket in their frame?
- An astronaut in a spaceship is listening to his music. Calculate the time it takes to play a 4.00 minute song at (a) 0.2c and at (b) 0.8 c? (c, the speed of light =3.0 x10^8 m/s)Indicate the time measured by Mission Control on earth listening in on the astronaut.Marissa’s spaceship approaches Joseph’s at a speed of 0.99c. As Marissa passes Joseph, they synchronize their clocks to both read t = 0 s. When Marissa’s clock reads 100 s, she sends a light signal back to Joseph. According to his clock, when does he receive this signal?A newly constructed spaceship has a length of 100.0 m (as measured in the rest frame). This spaceship departs the Earth, bound for a distant planet located a distance D = 50.0 light-years away from the Earth. It travels at a constant speed of v = 0.900c. Part A) As measured by Mission Control on Earth, how long does the journey take? Enter the numerical value in units of years. Part B) According to an astronaut on the spaceship, how long does the journey take? Enter the numerical value in units of years. Part C) As measured by Mission Control on Earth, what is the spaceship's apparent length? Enter the numerical value in SI units