An astronaut at rest on Earth has a heartbeat rate of 81 beats/min. When the ast

Question

An astronaut at rest on Earth has a heartbeat rate of 81 beats/min. When the astronaut is traveling in a spaceship at 0.94c, 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 47 Your response differs from the correct answer by more than 10%. Double check your calculations, beats/min (b) an observer at rest on Earth 40 Your response differs from the correct answer by more than 10%. Double check your calculations. beats/min

Explanation / Answer

A) Since the observer is also on the ship. So the osberver will measure the Astronaut's heartbeat = 81 beats/min

B) This time astronaut is moving at v = 094c relative to the observer, therefore the observer on the earth will measure the time as

Tobs = Tast/sqrt(1-v^2/c^2), Using this we find

Tobs = Tast/sqrt(1-(0.94c)^2/c^2)

=Tast/0.341 i.e Tobs = (2.93)Tast

Therefore the observer will measure the time between the heartbeats 2.93 times longer than the time measured by the astronaut

So the astronaut's heartbeat rate in the earth's frame of reference = 81/2.93 = 27.6 beats/min

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