1. An interstellar light house on the Planet Koozebane sends out signals once ev

Question

1. An interstellar light house on the Planet Koozebane sends out signals once every second. The starship Kermit is traveling directly towards Koozebane at 0.97c. a) According to those on board the starship Kermit how long is it between pulses? Hint: Consider the time between signals reaching the starship Kermit as seen by those on the Planet Koozebane. b) If it takes 0.55 years to reach the Planet Koozebane according to those on the starship, determine the distance covered by the starship in both the ship’s frame and the Koozebanian’s frame.

Explanation / Answer

a) gamma= 1/(1-(v/c)^2)^0.5= 1/(1-(0.97c/c)^2)^0.5=4.11

Period T of the light sends out by the Planet is 1 s

According to those on board on the starship Kermit the period between pulses= T*gamma= 1s*4.11= 4.11 s

b) 0.55 years to seconds is= 1.7345*(10^9)

distance covered by the starship on the Planet reference frame is= v*t/gamma= 0.97*3*(10^8)*1.7345*(10^9)/4.11= 1.228*10^17 m

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