Timbers used in building construction can withstand a pressure of (1.4 times 10^{7} mathrm{~Pa}) before being crushed.

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Timbers used in building construction can withstand a pressure of \(1.4 \times 10^{7} \mathrm{~Pa}\) before being crushed. If the mass density of wood is \(ho=960 \mathrm{~kg} / \mathrm{m}^{3}\), calculate the height \(h\) a pile of timbers would have to be in order for the ones at the bottom to be crushed. Assume that all the timbers have the same size and shape and that they are piled one on top of the other.

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