Respuesta :

Answer:

[tex]2592*10^7\frac{km}{day}[/tex].

Explanation:

We need to know that 1km = 1000 m= 10^3m and 1 day = 86400 = 864 * 10^2s.

[tex]3*10^8 \frac{m}{s} = 3*10^8\frac{m}{s} \frac{86400 s}{1 day}[/tex]

[tex] = 3*10^8*864*10^2\frac{m}{day} = 2592 * 10^{10} \frac{m}{day}[/tex]

Now, [tex]2592 * 10^{10} \frac{m}{day}\frac{1km}{10^3m}[/tex]

[tex]= 2592 * 10^{10}*10^{-3}\frac{km}{day} = 2592*10^7\frac{km}{day}[/tex].

We have that the speed of light 3.0x10^8 m/s to km/day

[tex]\frac{km}{day}=259.2\frac{km}{day}[/tex]

From the question we are told that

the speed of light 3.0x10^8 m/s

Generally the equation for the conversion   is mathematically given as

[tex]\frac{km}{day}=\frac{m}{s}*\frac{10^{-3}}{1/60*60*}\\\\\frac{km}{day}=3.0x10^8*\frac{10^{-3}}{1/60*60*}\\\\\frac{km}{day}=259.2\frac{km}{day}[/tex]

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