Chapter 12.7, Problem 10ES

In exercises that require numerical values, use Table 12.7.1 and the following values, where needed:

$\begin{array}{l}\text{radius}\text{of}\text{Earth}=4000\text{mi}=6440\text{km}\\ \text{radius}\text{of}\text{Moon}=1080\text{mi}=1740\text{km}\\ \text{1year (Earth Year)}=365\text{days}\end{array}$

The universal gravitational constant is approximately $G=6.67\times {10}^{-11}{\text{m}}^3/kg.{\text{s}}^2$ and the semimajor axis of the Earth’s orbit is approximately $a=149.6\times {10}^6\text{km}$ Estimate the mass of the Sun in kg.