Question

astronaut is traveling in a space vehicle moving at 0.510c relative to the Earth. The astronaut measures her pulse rate at 61.0 beats per minute. Signals generated by the astronaut's pulse are radioed to the Earth when the vehicle is moving in a direction perpendicular to the line that connects the vehicle with an observer on the Earth. (Due to vehicle's path there will be no Doppler shift in the signal.) What pulse rate does the Earth-based observer measure?

Answer 1

45.13 beats/min

Step-by-step explanation:

Speed of space vehicle = 0.51c

the pulse rate measured by the astronaut= 61.0 beats per minute

Pulse rate measured by the Earth observer is given by

`=(pulse\ rate)\sqrt{1-(v^2)/(c^2) }`

putting vales we get

`=61\sqrt{1-(0.51^2c^2)/(c^2) }`

= 45.13 beats/min