371,881 views
16 votes
16 votes
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.

User Qichuan
by
3.1k points

1 Answer

17 votes
17 votes

\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}

The Sun has a mass of 1.99x1030kg and is a distance of 1.49x1011m from Earth (mass-example-1
User Spencer Nelson
by
3.2k points