Answer:
There is no atmspheric pressure
Answer: ![5.9(10)^{-8} m](https://tex.z-dn.net/?f=5.9%2810%29%5E%7B-8%7D%20m)
Explanation:
The equation to calculate the center of mass
of a particle system is:
![C_{M}=\frac{m_{1}r_{1}+m_{1}r_{1}+...+m_{n}r_{n}}{m_{1}+m_{2}+...+m_{n}}](https://tex.z-dn.net/?f=C_%7BM%7D%3D%5Cfrac%7Bm_%7B1%7Dr_%7B1%7D%2Bm_%7B1%7Dr_%7B1%7D%2B...%2Bm_%7Bn%7Dr_%7Bn%7D%7D%7Bm_%7B1%7D%2Bm_%7B2%7D%2B...%2Bm_%7Bn%7D%7D)
In this case we can arrange for one dimension, assuming the geometric center of the Earth and the ladder are on a line, and assuming original center of mass located at the Earth's geometric center:
![C_{M}=\frac{m_{E}(0 m) + m_{p} r_{E-p}}{m_{E}+m_{p}}](https://tex.z-dn.net/?f=C_%7BM%7D%3D%5Cfrac%7Bm_%7BE%7D%280%20m%29%20%2B%20m_%7Bp%7D%20r_%7BE-p%7D%7D%7Bm_%7BE%7D%2Bm_%7Bp%7D%7D)
Where:
is the mass of the Earth
is the mass of 1 billion people
is the radius of the Earth
is the distance between the center of the Earth and the position of the people (2 m above the Earth's surface)
![C_{M}=\frac{m_{p}55(10)^{9} kg (6370998 m)}{5.9(10)^{24} kg+55(10)^{9} kg}](https://tex.z-dn.net/?f=C_%7BM%7D%3D%5Cfrac%7Bm_%7Bp%7D55%2810%29%5E%7B9%7D%20kg%20%286370998%20m%29%7D%7B5.9%2810%29%5E%7B24%7D%20kg%2B55%2810%29%5E%7B9%7D%20kg%7D)
This is the displacement of Earth's center of mass from the original center.
<span>It reacts to the </span>motion<span>. If the mass hanging from the pulley was overwhelmingly heavier than the mass on the ramp, it'll obviously pull the ramp mass up and thus </span>friction<span> would be trying to oppose this and vice versa. </span>
average velocity is vector displacement / time
time is "almost exactly one hour"
disp = -10m
v= -10/1x60x60 = -1/360m/s