What is the maximum weight a person could have to be able to jump from a skyscraper without getting injured?
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Roughly estimated, the survival attempt could be successful with approximately the weight of a cockchafer. I have yet to see a cockchafer seriously injured after falling from a tall tree (at this time of year, you only have to shake the infested trees).
I estimate that, given the ratio of weight to air resistance (that's all that matters in a given gravitational field), such a beetle has already largely reached its maximum falling speed in the atmosphere at a fall height of about 10 meters.
It doesn't work that way. The acceleration due to gravity is always the usual 9.81 m/s2, no matter how heavy something is. After x meters, it has a speed of ym/s, and that's it. Because of air resistance, the acceleration stops at 200 km/h – but that's more than enough.
However, if he had a parachute, a wingsuit, or something like that—okay. But that has nothing to do with your question.
The acceleration due to gravity is always 9.81 m/s^2, but it only results in the force of gravity. It cannot simply be equated with the kinematic acceleration. Air resistance doesn't suddenly start at 200 km/h. It starts at zero, but increases immediately with the square of the speed, ensuring that the 9.81 m/s^2 is never reached in the atmosphere.
The actual acceleration has something to do with weight. Assuming the same density and shape, a lighter body is also smaller. Its cross-sectional area, which is effective for air resistance, increases with the square of its size, but its weight increases with the cube. Therefore, the heavier the body, the lower the air resistance per gram, and that's why I can flick a beetle off the balcony without endangering its life.
Ungefähr so viel wie ein Insekt.
Wäre der Körperbau entsprechend, könnte er so viel wiegen wie ein Flughörnchen.
ja, aber man muss ja nicht jeden Mist anschauen …
Höchsten wenige Gramm
Das hängt nicht vom Gewicht der Person ab. Alle Menschen fallen gleich schnell.
So 1 kg schätz ich mal.
0,0 kg
Dazu müsste er vielleicht so schwer wie eine Feder sein, damit er langsam zu Boden schwebt. :-))