At a given point in its orbit, the moon is 2.4 x 10^5 miles from earth. How long does it take light from a source on earth to reach a reflector on the moon and then return to earth? (speed of light is 3.0 x 10^8 m/s)

Respuesta :

Answer:

Total time= 2.56 s

Explanation:

Given that

[tex]Distance = 2.4\times 10^5\ miles[/tex]

So distance = 386242560 m

Velocity of light

[tex]C= 3\times 10^8\ m/s[/tex]

We know that

Distance = velocity x time

Now by putting then values

[tex]time=\frac{386242560}{3\times 10^8}[/tex]

t=1.28 s

So the total time = 2 x 1.28

total time= 2.56 s

Explanation:

Given that,

Distance between moon and earth, [tex]d=2.4\times 10^5\ miles[/tex]

1 mile = 1609.34 meters

[tex]d=386241600\ m[/tex]

Speed of light, [tex]c=3\times 10^8\ m/s[/tex]

We need to find the time taken by the light from a source on earth to reach a reflector on the moon and then return to earth. Time is given by :

[tex]t=\dfrac{d}{c}[/tex]

[tex]t=\dfrac{386241600\ m}{3\times 10^8\ m/s}[/tex]      

t = 1.28 seconds

Hence, this is the required solution.