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Release time: 2019-05-30 14:56:26
News Source: Zhihu
如果湖南电梯Car fell from the sixth floor straight to the bottom,Almost 15 meters high,The kinetic energy obtained by a 60kg person is mgh≈60×10×15 = 9000 joules,The velocity is about √ (2 x 10 x 15) = 17 m/s,Let's say the air resistance is very,Car speed slowed down,Half the energy is gone,Kinetic energy is about 4,500 joules,Speed is about 12 meters per second。It is calculated by energy and impulse。
Energy method。The person jumps up to consume 300 joules (calculated below), leaving 4500-300 = 4200 joules at the remaining impact distance (suppose 0.5 meters, that is, the distance the bottom of the foot moves down after contacting the buffer) is all consumed, W = FS, 4200 = F×0.5, F = 8400N, which means that a person is going to be subjected to about 840 kilograms of force。
Impulse method。Momentum before impact mv = 60×12 = 720, impact distance 0.5 meters, according to the average speed of 6 meters/second, the impact time is 0.5/6=0.083 seconds, consumed impulse 190, remaining impulse 720-190 = 530 = Ft = F×0.083, F = 6385N, which is 640 kilograms of force。
However, once jumping, people can stand in the car again in time, it is doubtful, no stand, for people, the real impact process will start from sitting on the floor, the center of gravity can move the distance is much shorter, that is, the impact time is shorter, the force will be much more serious injury。Anyway, such force in such a short period of time, all organs are damaged。
Calculate the kinetic energy and momentum that a person can generate in an instant。Instantaneous human vertical jump (I mean center of gravity raise) 0.5m。No run-up. That's pretty impressive。So the velocity is about 3.12 meters per second, equivalent to 300 joules of kinetic energy and 190 momentum。
No matter what, stand up, legs slightly bent but not soft, which should be a good plan to protect yourself。
Link: http://www.zhihu.com/question/47818795/answer/107798873
Key words: Hunan Elevator
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