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

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