Question

Two astronauts are 1.5m 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 1

1311900 m far away from the earth

Step-by-step explanation:

Given data

astronauts = 1.5 m

sound waves to travel = 343 m/s

to find out

How far away from the earth

solution

we know 2 astronauts are at distance 1.5 m from each other

and sound travel 343 m/s

so time period = distance / sound speed

time period = 1.5 / 343 = 4.373 ×
`10^(-3)` sec

and time for sound reach at earth

speed of sound = 3 ×
`10^(8)` m/s

so

time = distnace / 3 ×
`10^(8)`

4.373 ×
`10^(-3)` = distnace / 3 ×
`10^(8)`

distance = 4.373 ×
`10^(-3)` × 3 ×
`10^(8)`

distance = 1311900 m

so 1311900 m far away from the earth