A rocket is traveling at a constant speed of 5 x 10^7 m/s and is leaving the inn

Question

A rocket is traveling at a constant speed of 5 x 10^7 m/s and is leaving the inner solar system, a distance of 300 million km away from the earth. At this instant, a message is sent to Earth via electromagnetic radiation. The message includes the location of the rocket relative to the Earth at the instant the message transmission was initiated.

At the very instant the message reaches the Earth, a reply message is initiated and sent back to the rocket, which is still moving away from Earth at the same speed. The reply message includes the expected time interval for the reply to reach the rocket.

a) Measured on Earth, how long of a time interval is required for the rocket's message to reach Earth?

b) How long will it take for the reply message to get back to the ship, according to the Earth-based observers?

c) Major Tom on the rocket calculates the time his friends on Earth assume pased between two events listed above. How does the elapsed time on the rocket compare to this calculation? Please use calculations.

Explanation / Answer

1. (300 x 1000000) / (5 x 10^7 x (18/5)) = 1.6667 hours

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