Question

A sun in a distant galaxy has an estimated Mass of 1.493×1031 kg and the earth has a mass of 5.972×1024 kg, how many earths would it take to equal the mass of the sun? Write your answer in scientific notation.It would take earths to equal the mass of the sun. For example, if you want to enter the number 4.578×10−3, you would type 4.578 * 10^-3.

Answer 1

Given: A sun in a distant galaxy has an estimated Mass of M, and the earth has a mass of m as follows

`\begin{gathered} M=1.493×10^(31)\text{ kg} \\ m=5.972×10^(24)\text{ kg} \end{gathered}`

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,

`\begin{gathered} x*\text{ Mass of earth=Mass of sun } \\ x* m=M \\ x=(M)/(m) \end{gathered}`

Putting the values of M and m,

`x=\frac{1.493×10^(31)}{5.972×10^(24)\text{ }}`

which gives,

`x=0.25*10^7`

or,

`x=2.5*10^6\text{ earths}`

Final Answer: It would take 2.5*10^6 earths to equal the mass of the sun.