The base of a dam for a lake is designed to resist up to 150 percent of the horizontal force of the water. After construction, it is found that silt (which is equivalent to a liquid of density ρs = 1.76 × 103 kg/m3) is settling on the lake bottom at a rate of 20 mm/yr, considering a 1-m-wide section of dam, determine the number of years until the dam becomes unsafe.

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Water Silt