Hey /sci/, I have an odd question.
Let's say there is a 10 km tall giant and, despite what the square-cube law would say, he is able to withstand his own weight and move like a proportionate human would through unknown means. His density is also somehow similar to that of a normal human.
1 - How much would he weight, assuming he is of average build.
2 - How far would he sink into the earth due to his weigh?
>How far would he sink into the earth due to his weigh?
This is actually a pretty difficult quea Rob that will depend on the depth and type of bedrock, etc. But it's safe to say pretty far. His feet would be exerting ~300 MPa of pressure, which is above the compressive strength of granite, for example.
The average height of a man is 1.77m. Lets call this value h
The average mass of a man is 81.6 kg. Lets call this value m
Let M be the giant's mass, and let H be the giant's height 10km
Density = mass/volume
For a human of a specific build, volume = c*height^3, where c is some unitless constant that is the same for all people of that specific build
Since both densities are equal, we get
The c's cancel out
This matches with this >>7836142 guy's result (except for rounding, but whatever).
I just realized that the giant would have a mass that is about 24 times greater than the that of the entire world population.
7.4billion*81.6kg = 6.03*10^11kg
24*(6.03*10^11kg) = 1.45*10^13kg
so you say we are his 25th planet he is going to eat?