2- Consider a U-tube filled with mercury as shown in Figure. The diameter of the right arm of the U-tube is D 1.5 cm, and the diameter of the left arm is twice that. Heavy oil with a specific gravity of 2.72 is poured into the left arm, forcing some mercury from the left arm into the right one. Determine the maximum amount of oil that can be added into the left arm. Answer: 0.0884 L Oil poured in here SG=2.72 2D 12 cm D= 1.5 cm Mercury SG= 13.6
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- 3 A hotel builds a water (1.00 g/cm) fountain that is fed by a din = 14.9 cm diameter cylindrical pipe that carries water horizontally hbelow = 8.92 m below the ground. The pipe turns upward and eventually fires water out of the = 6.78 cm diameter end of the cylindrical pipe, which is located habove = 1.72 m above the ground, with speed Vout = 33.2 m/s. What gauge pressure is required in the underwater horizontal pipe for this fountain? dout Vout t habove h below O Vin din 7.24 atm 4.18 atm 6.24 atm 6.47 atm mop <42. Water flows through a fire hose of diameter 6.35 cm at a rate of 0.012 m³/s. The fire hose ends in a nozzle of inner diameter 2.20 cm. What is the speed with which the water exits the nozzle?
- A balloon is released from a tall building. The total mass of the balloon including the enclosed gas is 2.0 kg. Its volume is 5.0 m?. The density of air is 1.3 kg/m. 12. What is the average density of the balloon? A) 0.2 kg/m3 B) 0.4 kg/m3 C) 0.8 kg/m D) 1.0 kg/m E) 1.2 kg/m3 13. Will the balloon rise, fall, or remain stationary, and why? A) The balloon will fall because its density is greater than that of air. B) The balloon will remain stationary because its density is less than that of air. c) The balloon will rise because the upward buoyant force is greater than its weight. D) The balloon will fall because the upward buoyant force is less than its weight. E) The balloon will fall because the downward buoyant force is greater than the upward buoyant force.6. A solid aluminum bar weighs 89 N in air. a. What is its volume? b. If it is suspended from a rope and totally submerged in water, what is the tension in the rope?Bird bones have air pockets in them to reduce their weight—this also gives them an average density significantly less than that of the bones of other animals. Suppose an ornithologist weighs a bird bone in air and in water and finds its mass is 45.0 g and its apparent mass when submerged is 3.60 g (the bone is water light) a. What mass of water is displaced? b. What is the volume of the bone? c. What is its average density?
- 3. One of the dangers of tornados and hurricanes is the rapid drop in air pressure that is associated with such storms. Assume that the air pressure inside of a sealed house is 1.02 atm when a hurricane hits. The hurricane rapidly decreases the external air pressure to 0.910 atm. A square window in an outside wall of the house measures 2.02 m on each side. What is the magnitude of the net force (directed outwards) exerted on this window? (1 atm = 1.0135 x 105 Pa.)V62. DETAILS S An incompressible fluid flows with velocity 12.00m through a round pipe with radius 2.30cm. If the pipe changes size and has a new, smaller radius of 0.20cm, what is the speed of the fluid moving through the narrower segment of pipe? m S What is the total volume flow rate for this pipe, in units of O 19.94- 11965698.10 L min L min L min 0.02- 1196.57- L min 1.20- L min L min MY NOTES (1000L=1m³ )? ASK YOUR TEACHER
- 10. A container is filled with water as shown in the figure. Points A, B, C, and D indicates the pressure exerted by the liquid. Arrange the points based on the magnitude of the pressure exerted by the liquid in a descening order. D. Ignore the question number, just try it out! O D. B, A, C О В. С, А, D O C, A, B, D O A. C, B, D4. A raft is made of 12 logs lashed together. Each is 30.5 cm in diameter and has a length of 6,00 m. How many people (whole number) can the raft hold before they start getting their feet wet, assuming the average person has a mass of 66.0 kg? Do not neglect the weight of the logs. Assume the density of wood is 600 kg/m3 People (whole number) 741 n na741 na3. What fraction of a piece of iron will be submerged when it floats in mercury? 4. A nozzle with a diameter of 0.500 cm is attached to a garden hose with a radius of 0.900 cm where water flows at 1.96 m/s. Calculate the pressure in the hose, given that the absolute pressure in the nozzle is 1.01x10°N/m² and assuming level, frictionless flow.