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August 29, 2014

August 29, 2014

Posted by **shelby** on Friday, March 7, 2008 at 4:18pm.

- physics -
**Damon**, Friday, March 7, 2008 at 5:42pmKinetic energy that the elevator has when it hits the spring is:

KE = m*g*h-work done by friction so far

the work done by friction so far =18158*h

where

m = 5320 kg

g = 9.81 m/s^2

h - 31.6 m

Now we compress the spring a distance x

Work done by gravity in falling additional distance x = m g x

So at the bottom we have

gained m g x additional

so we have a total available of KE + m g x

That amount goes into compressing the spring and doing further work against friction

(1/2) k x^2 + 18158 x

so in the end

m*g*h-18158*h + m g x = (1/2) k x^2 + 18158 x

or

m g (h+x) - 18158 (h+x) = (1/2) k x^2

find the two solutions to the quadratic. Probably only one will make sense.

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