Problem 9: An astronaut has a heartbeat rate of 74 beats per minute when measured on his spaceship, which is traveling at 0.46c with respect to Earth. What would an observer on Earth determine the astronaut's heart rate to be, in beats per minute?
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Problem 9: An astronaut has a heartbeat rate of 74 beats per minute when measured on his spaceship, which is traveling at 0.46c with respect to Earth.
What would an observer on Earth determine the astronaut's heart rate to be, in beats per minute?
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- 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?The starship Enterprise approaches the Klingon home world with speed 0.6c relative to the planet. To announce its arrival, the Enterprise sends a message in a projectile that travels toward the planet with speed 0.4c relative to the Enterprise. At what speed does Klingon at the surface of the planet see the projectile approach? Using relativistic velocity equation.An 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?
- A spaceship whose rest length is 283 m has a speed of 0.87c with respect to a certain reference frame. A micrometeorite, also with a speed of 0.87c in this frame, passes the spaceship on an antiparallel track. How long does it take this object to pass the spaceship as measured on the ship? Number UnitsA spaceship travels from Mercury to Mars at a speed of 0.81c relative to the Earth. Assume Earth, Mars and Mercury don’t move relative to each other. The time of the trip as measured by an Earth observer is 700 seconds. What is the time of the trip as measured by a passenger on the spaceship? What is the distance between Mercury and Mars as measured by a passenger on the spaceship?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