Chapter 7.4, Problem 32PPE

To determine

To find: how many times as great as the mass of Saturn is the mass of the sun when the sun’s

mass is $1.998\times {10}^{30}$ kg and Saturn’s mass is $5.69\times {10}^{26}$ kg.

Answer to Problem 32PPE

The required answer is: 3511 times

Explanation of Solution

Given information:

The given information: sun’s mass is $1.998\times {10}^{30}$ kg and Saturn’s mass is $5.69\times {10}^{26}$ kg.

Calculation:

  $\frac{1.998\times {10}^{30}}{5.69\times {10}^{26}}=\frac{1.998}{5.69}\times {10}^{30-26}$

(Subtract exponents when dividing powers with the same base)

  $\begin{array}{l}=\frac{1.998}{5.69}\times {10}^4\\ =0.3511\times {10}^4\end{array}$

(Divide and round to the nearest ten thousandth)

  $\begin{array}{l}=0.3511\times 10000\\ =3511\end{array}$

(Simplify)

The mass of sun is 3511 times the mass of Saturn