4. Buoyancy. A slab of ice floats on a freshwater lake. What minimum volume (in m3) must the slab have for a 45.0 kg woman to be able to stand on it without getting her feet wet? (Density of ice = 917 kg/m3, Density of water= 1000 kg/m3)
5. Continuity Equation. A 14.0-cm inner diameter water main
furnishes water (through intermediate pipes) to a 1.00 cm inner diameter faucet
pipe. If the average velocity in the faucet is 3.00 cm/s, what will be the
average velocity (in cm/s) it causes in the water main?
6. Bernoulli’s Principle. Water inside an enclosed tank is
subjected to a pressure of two atmospheres at the top of the tank. How fast (in
m/s) will water move out of a small hole 3.00 m below the top surface of the
water? The density of water is 1000 kg/m3.
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