Question

part a
how long should it take the voices of astronauts on the moon to reach the earth? assume that the only significant time is the transit time from the earth to the moon, at the speed of light. suppose that the astronaut on the surface of the moon, the receiver on the surface of the earth, and the centers of the earth and the moon are aligned. the distance between the centers of the earth and the moon is ( 384\times10^{3} km ), the radius of the earth is ( 6.38\times10^{3} km ), the radius of the moon is ( 1.74\times10^{3} km ).
express your answer using three significant figures.
( delta t= )

Explanation:

Step1: Calculate the distance traveled

The distance \(d\) that the signal travels is the distance between the centers of the Earth and the Moon minus the radius of the Earth and minus the radius of the Moon.

$$
LATEXBLOCK0
$$

Step2: Use the formula \(t = \frac{d}{v}\)

The speed of light \(v = 3\times 10^{8}\text{ m/s}\).

$$ t=\frac{3.7588\times 10^{8}}{3\times 10^{8}} $$

$$ t = 1.25\text{ s} $$

Answer:

\(1.25\) s