recitation10-solutions - Physics 2750 Recitation 10 1 The...

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Unformatted text preview: Physics 2750 Recitation 10 1. The vessels shown below all contain water to the same height. Rank them according to the pressure exerted by the water on the vessel bottoms, least to greatest. a) 1, 2, 3, 4 b) 3, 4, 2, 1 c) 4, 3, 2, 1 d) 2, 3, 4, 1 e) All pressures are the same 2. Two identical blocks of ice float in water as shown. Then: a) block A displaces a greater volume of water since the pressure acts on a smaller bottom area b) block B displaces a greater volume of water since the pressure is less on its bottom c) the two blocks displace equal volumes of water since they have the same weight d) block A displaces a greater volume of water since its submerged end is lower in the water e) Block B displaces a greater volume of water since its submerged end has a greater area 3. Water flows through a constriction in a horizontal pipe. As it enters the constriction, the water's: a) speed increases and pressure decreases b) speed increases and pressure remains constant c) speed increases and pressure increases d) speed decreases and pressure increases e) speed decreases and pressure decreases 4. A U‐tube of uniform cross‐sectional area and open to the atmosphere is partially filled with mercury. Water is then poured into both arms. If the equilibrium configuration of the tube is as shown in the figure below, with h2 = 1.00 cm, determine the value of h1. Take water density as 1000 kg/m3 and mercury density as 13600 kg/m3. Problem 4 Problem 5 Problem 6 5. A frog in a hemispherical pod finds that he just floats without sinking into a sea of blue‐green ooze having a density of 1.35 g/cm3. If the pod has a radius of 6.00 cm and a negligible mass, what is the mass of the frog? 6. A siphon is used to drain water from a tank, as illustrated in the figure above. The siphon has a uniform diameter. Assume steady flow without friction. a) If the distance h = 1 m, find the speed of outflow at the end of the siphon. b) What is the limitation on the height of the top of the siphon above the water surface? 7. A large storage tank is filled with water to a height h0. The tank is punctured at a height h above the bottom of the tank a) Find an expression for how far from the tank the exiting stream lands. b) If the water is to shoot as far as possible horizontally, how far from the bottom of the container should the hole be punched? c) Neglecting frictional losses, how far (initially) from the side of the container will the water land? ...
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