Radio waves travel at the speed of light, which is 3X10^8 m/s. How many minutes does it take for a radio message to reach earth from Saturn if Saturn is 7.9X10^8 km from earth?

Respuesta :

Answer:

43.89 min

Explanation:

Given that:-

The speed of light = [tex]3.00\times 10^8\ m/s[/tex]

The distance = [tex]7.9\times 10^8\ km[/tex]

The conversion of distance in km to distance into m is shown below as:-

1 km = 1000 m

So,  

Distance = [tex]7.9\times 10^8\times 1000\ m=7.9\times 10^{11}\ m[/tex]

The relation between speed distance and time is shown below as:-

[tex]Speed=\frac{Distance}{Time}[/tex]

Thus,  

[tex]3.00\times 10^8=\frac{7.9\times 10^{11}}{Time}[/tex]

[tex]300000000\times time=10^{11}\times \:7.9\ s[/tex]

Time = 2633.33 seconds

Also, 1 s = 1/60 min

So,  

Time=[tex]\frac{2633.33}{60}\ min=43.89\ min[/tex]