Question

The Sun has a mass of 1.99x1030kg and is a distance of 1.49x1011m from Earth (mass: 3.97x1024kg), using the gravitational constant (6.67x10-11Nm2/kg2), determine force of gravity that exists between them.

Answer 1

$\begin{gathered} m_{earth}=3.97x10^{24}\operatorname{kg} \\ m_{\text{sun}}=1.99x10^{30}\operatorname{kg} \\ r=1.49x10^{11}m \\ G=6.67x10^{-11}Nm^2/kg^2 \\ F=G\cdot\frac{m_{\text{sun}}\cdot m_{earth}}{r^2} \\ F=(6.67x10^{-11}Nm^2/kg^2)(\frac{(1.99x10^{30}\operatorname{kg})(3.97x10^{24}\operatorname{kg})}{(1.49x10^{11}m)^2}) \\ F=2.37x10^{22}N \\ \text{The force betw}een\text{ sun and earth is }2.37x10^{22}N \end{gathered}$