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# In the section of a tall building shown in the the Figure, the infrastructure of any given floor K must support the weight W of all higher floors.

In the section of a tall building shown in the the Figure, the infrastructure of any
given floor K must support the weight W of all higher floors. Normally the infrastructure
is constructed with a safety factors so that it can withstand an even greater downward
force of sW. If however, the support columns between K and L suddenly collapse and
allow the higher floors to free-fall together onto floor K, the force in the collision can
exceed sW and, after a brief pause, cause K to collapse onto floor J, which collapses
on floor I, and so on until the ground is reached. Assume that the floors are separated
by d  4.0m and have the same mass. Also assurne that when the floors above K
free-fall onto K, the collision lasts 1.5ms. Under these simplified conditions, what value
must the safety factors exceed to prevent pancake collapse of the building?

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