MadSci Network: Physics

Re: Why can't you jump in a falling elevator?

Area: Physics
Posted By: Philip Plait, Astronomer/Programmer
Date: Thu Dec 19 14:54:51 1996
Message ID: 849198663.Ph

You'd think that would work, right? You're in a falling elevator, plummeting downward. Just before impact with the ground, you jump one centimeter high. As the elevator crashes, you only fall that one centimeter and you're safe!

Or are you? Remember, when you jump that one centimeter, that is one centimeter relative to the floor of the elevator! The elevator is still falling, and so are you! Imagine the elevator floor is glass, and you can see the ground rushing up at you. That one centimeter jump doesn't look like it'll help much now, does it? All you've really done is add another centimeter to the length of your fall. Your body will impact at the same speed, only a fraction of a second later.

Now if you are trying to negate the speed of your fall by jumping upwards, that won't work well either. In free fall, you fall 10 meters in the first second, 20 in the next second (for a total of 30 meters), 30 the next (total of 60) and so on, falling 10 meters per second faster for every second of the drop. Now, friction and air resistance will eventually stop the downward acceleration. A human freely falling tends to peak at about 180 kilometers per hour, or about 50 meters a second. That's fast, about twice as fast as a car on a highway. An elevator might do more in a big high rise. Now try jumping that fast! I am guessing that the most you can jump straight up is a meter or two per second.

Think of it this way. Instead of jumping up, think about how hard it is when you hit the ground after jumping down off a wall. This is the same problem as the elevator, but in reverse. After jumping even a couple of meters your knees hurt, right? Now imagine falling 20 meters! Ouch!

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