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18 August, 17:46

Two astronauts are 2.30 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

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  1. 18 August, 18:12
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    d = 2,011,661.81 m

    The distance of the spaceship from the earth is d = 2,011,661.81 m

    Explanation:

    Let t1 represent the time taken for sound to travel between the astronaut and t2 the the time taken for electromagnetic waves to travel from the spaceship to earth.

    Given;

    t1 = t2

    t1 = distance apart/speed of sound in air

    t1 = 2.30/343 = 0.0067055 seconds

    t2 = t1 = 0.0067055 seconds

    Speed of electromagnetic waves v2 = 3.0 * 10^8 m/s

    Distance of the spaceship from the earth is d;

    d = speed v2 * time t2

    d = 3.0 * 10^8 m/s * 0.0067055 s

    d = 2,011,661.81 m

    The distance of the spaceship from the earth is d = 2,011,661.81 m
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