posted by Bob on .
Climbing to the top of Mount Everest is hard. But, it's slightly easier than you might think as people weigh less as they climb to the top. Let WE be a person's weight on top of Mount Everest and WS be their weight at sea level. What is the value of 1−WE/WS?
Details and assumptions:
+ Assume the earth (other than Everest) is a sphere of mass 6×1024 kg and radius 6,370 km.
+ The top of Mount Everest is 8,848 m above the surface of the earth.
Weight is inversely proportional to the square of the distance from the center of the Earth.
WE/WS = [6370/(6370+8.85)]^2
1 - (WE/WS) = 2.77*10^-3
0.27% of the person's weight is "lost" at the summit of Everest.
Still a simple careless mistake :
1-9972=0.0028 nt 27.:)