Two astronauts are 1.5 m apart in their spaceship. One speaks to the other. The conversation is transmitted to earth via electromagnetic waves. The time it takes for sound waves to travel at 343 m/s through the air between the astronauts equals the time it takes for the electromagnetic waves to travel to the earth. How far away from the earth is the spaceship?

podmitijuy0

podmitijuy0

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2022-08-14

Two astronauts are 1.5 m apart in their spaceship. One speaks to the other. The conversation is transmitted to earth via electromagnetic waves. The time it takes for sound waves to travel at 343 m/s through the air between the astronauts equals the time it takes for the electromagnetic waves to travel to the earth. How far away from the earth is the spaceship?

Answer & Explanation

agergadas3b

agergadas3b

Beginner2022-08-15Added 16 answers

Set c = 3.00 10 8 m / s , d = 1.5 m and u=343m/s. Let D be the unknown distance between the spaceship and the Earth.
The time required for the sound to travel through air is d u , while the time required for the electromagnetic waves to travel from the ship to the Earth is D c . Equating these two times we obtain
d u = D c .
This yields
D = d c u = 1.5 m 3.00 10 8 m / s 343 m / s = 1.3 10 6 m.
Result:
The distance from the ship to the Earth is 1.3 10 6 m.

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