Question
A legendary Dutch boy saved Holland by plugging a hole of diameter $1.20 \mathrm{cm}$ in a dike with his finger. If the hole was $2.00 \mathrm{m}$ below the surface of the North Sea (density $1030 \mathrm{kg} / \mathrm{m}^{3}$ ), (a) what was the force on his finger? (b) If he pulled his finger out of the hole, during what time interval would the released water fill 1 acre of land to a depth of 1 ft? Assume the hole remained constant in size.
Step 1
The formula for hydrostatic pressure is $P = \rho g h$, where $\rho$ is the density of the fluid, $g$ is the acceleration due to gravity, and $h$ is the height of the fluid column above the point in question. Show more…
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A legendary Dutch boy saved Holland by plugging a hole of diameter 1.20 $\mathrm{cm}$ in a dike with his finger. If the hole was 2.00 $\mathrm{m}$ below the surface of the North Sea (density 1030 $\mathrm{kg} / \mathrm{m}^{3}$ , (a) what was the force on his finger? (b) If he pulled his finger out of the hole, during what time interval would the released water fill 1 acre of land to a depth of $\mathrm{ft}$ ? Assume the hole remained constant in size.
A legendary Dutch boy saved Holland by plugging a 1.20 -cm diameter hole in a dike with his finger. If the hole was 2.00 $\mathrm{m}$ below the surface of the North Sea (density $1030 \mathrm{kg} / \mathrm{m}^{3} ),$ (a) what was the force on his finger? (b) If he pulled his finger out of the hole, during what time interval would the released water fill 1 acre of land to a depth of 1 $\mathrm{ft}$ ? Assume the hole remained constant in nsize. (A typical U.S. family of four uses 1 acre-foot of water, $1234 \mathrm{m}^{3},$ in 1 year.)
A legendary Dutch boy saved Holland by plugging a hole in a dike with his finger, which is 1.20 $\mathrm{cm}$ in diameter. If the hole was 2.00 $\mathrm{m}$ below the surface of the North Sea (density $1030 \mathrm{kg} / \mathrm{m}^{3} ),$ (a) what was the force on his finger? (b) If he pulled his finger out of the hole, how long would it take the released water to fill 1 acre of land to a depth of 1 $\mathrm{ft}$ , assuming the hole remained constant in size? (A typical U.S. family of four uses 1 acre-foot of water, $1234 \mathrm{m}^{3},$ in 1 year.)
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