252,593 views
22 votes
22 votes
If you have a mass of 65kg and the earth has a mass of 6 x 10^24. You are 6.4 x 10^6m from the center of earth. What is the Force you feel from the earth? G (the universal gravity constant) is 6.67 x 10^-11.

User Ella Ryan
by
2.8k points

1 Answer

15 votes
15 votes

According to Newton's Law of Universal Gravitation, the gravitational force F between two particles with masses M and m separated by a distance r is given by:


F=G(Mm)/(r^2)

To find the force that you feel from the Earth, replace the value of the gravitational constant G, as well as M=6*10^24kg, m=65kg and r=6.4*10^6m:


\begin{gathered} F=(6.67*10^(-11)N\frac{m^2}{\operatorname{kg}^2})*\frac{(6*10^(24)\operatorname{kg})(65\operatorname{kg})}{(6.4*10^6m)^2} \\ =635N \end{gathered}

Therefore, the magnitude of the force that you feel due to your gravitational interaction with the Earth is 635 N.

User Mohsen Mokhtari
by
2.7k points