We are asked to find the gravitational force that you exert on earth.
First, convert the mass of 100 pounds into kg.
1 kg is equal to 2.205 pounds.
[tex]\frac{100}{2.205}=45.36\; kg[/tex]Recall Newton's Universal law of gravitation given by
[tex]F_G=G\frac{M\cdot m}{R^2}[/tex]Where M is the mass of Earth, m is the mass of the person, G is the gravitational constant, and R is the radius of the Earth.
G = 6.67×10⁻¹¹ m³/kg⋅s²
M = 5.97×10²⁴ kg
R = 6.37×10⁶ m
m = 45.36
Let us substitute all the given values into the above formula
[tex]\begin{gathered} F_G=G\frac{M\cdot m}{R^2} \\ F_G=6.67\times10^{-11}\cdot\frac{5.97\times10^{24}\cdot45.36}{(6.37\times10^6)^2} \\ F_G=445.14\; N \end{gathered}[/tex]
Therefore, the gravitational force that you exert on earth is 445.14 N
