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A vertical off-shore structure is built ...

A vertical off-shore structure is built to withstand maximum stress of 109 Pa. Is the structure suitable for putting up on top of an oil well in the ocean? Take the depth of the ocean to be roughly 3 km, and ignore ocean currents.

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Maximum stress that can be taken by the off-share structure, Pmax = 109Pa. density of water = 103 kg /m3 and g = 9.8 m/s2 and h = 3km (depth of the sea) ∴ Pressure exerted by seawater, P = ρgh = 103 × 9.8 × 3 × 103 P = 2.94 × 107 Pa Note that, P < Pmax Since the pressure exerted by the seawater is less than the maximum pressure the structure can withstand, the structure is suitable for putting on the top of the oil well.
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