Respuesta :
Given: A sun in a distant galaxy has an estimated Mass of M, and the earth has a mass of m as follows
[tex]\begin{gathered} M=1.493×10^{31}\text{ kg} \\ m=5.972×10^{24}\text{ kg} \end{gathered}[/tex]
Required: To find out how many earths would it take to equal the mass of the sun.
Explanation: Suppose x no of earth's mass would be equal to the mass of the sun. Hence,
[tex]\begin{gathered} x\times\text{ Mass of earth=Mass of sun } \\ x\times m=M \\ x=\frac{M}{m} \end{gathered}[/tex]Putting the values of M and m,
[tex]x=\frac{1.493×10^{31}}{5.972×10^{24}\text{ }}[/tex]which gives,
[tex]x=0.25\times10^7[/tex]or,
[tex]x=2.5\times10^6\text{ earths}[/tex]Final Answer: It would take 2.5*10^6 earths to equal the mass of the sun.
