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Posted by on Thursday, August 9, 2012 at 10:12pm.

A block of mass m has a spring –spring constant k and length L –connected, vertically, to the bottom.
The block is dropped from height h, towards the floor. Assuming the spring is stiff enough that it does not
compress fully at the floor, what is the closest distance, z, the block gets to the floor? (Note that the quadratic
equation might seem ugly but things like k, L, h, m, g are all given so there’s really only one unknown in
there.)

  • Physics - , Friday, August 10, 2012 at 11:02am

    mgh=kx²/2

    x=sqrt{2mgh/k}

    Z=L- sqrt{2mgh/k}

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