Question

1. Two astronauts are 2.00 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 354 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

`1.6949*10^6 m`

Step-by-step explanation:

Our values are

`d=2m`

`v=354m/s`

We can find the time through

`t=(d)/(v)`

`t=(2)/(354)`

`t=5.64*10^(-3)s`

The expression for the distance between the Earth and the spaceship is as follow:

`d=ct`

Where c is Light speed, and t our previous time.

`d= (3*10^8)(5.64*10^(-3))`

`d= 1.6949*10^6m`

Therefore the distance between the Eath and the Spaceship is
`1.6949*10^6` m