While the Evil Physics Monkey is visiting the Netherlands, he decides to pop a h

Question

While the Evil Physics Monkey is visiting the Netherlands, he decides to pop a hole in one of the dykes. He drills a hole 17 m beneath the surface of the water, and laughs as a poor Dutchman tries to seal the plug with his finger.

a: What is the force required to hold a 2 cm2 hole closed? The Dutchman takes his finger out to knock the screaming monkey into the drink, and watches in delight as the evil monkey is doused with water.

b: How much water spews forth through the hole onto the monkey in the course of 1 hour?

Explanation / Answer

pressure = rho gh = Force/area

F = 1000* 9.8* 17 * 2*10^-4 = 333.2 N

b. pressure at bottom P1 = rgo gh = 1000*9.8* 17 = 1.666*10^5 atms

   presure at top = atm pressure P2 =1.013*10^5 atms

V1 = 17 * 2*10^-4 = 34*10^-4

as P1V1 = P2V2

V2 = 1.666* 10^5 * 34*10^-4/1.015*10^5

V2 = 0.55 m^3 of water

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