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You purchase a rectangular piece of metal Part A that has dimensions 10.0 mm x 15.0 mm x 30.0 mm and mass 3.15x10 2 kg . The What value do you get? seller tells you that the metal is gold. To check this, you compute the average Express your answer in kilograms per cubic meter. density of the piece. For related problem-solving tips and Templates Symbols undo redo reset keyboard shortcuts help, strategies, you may want to view a Video Tutor Solution of The weight of a roomful of p = air. kg/m3 Submit Previous Answers Request Answer x Incorrect; Try Again; 4 attempts remaining Part B Were you cheated? O Yes. O No. Submit Request AnswerThere is a maximum depth at which a diver Part A can breathe through a snorkel tube (Figure 1) because as the depth increases, so does the pressure difference, tending to collapse What is the external-internal pressure difference when the diver's lungs are at a depth of h = 5.9 m (about the diver's lungs. Since the snorkel 19 ft )? Assume that the diver is in fresh water. (A scuba diver breathing from compressed air tanks can connects the air in the lungs to the operate at greater depths than can a snorkeler, since the pressure of the air inside the scuba diver's lungs the surfac increases to match the external pressure of the water.) inside the lungs is atmospheric pressure. Express your answer in pascals. Templates Symbols undo redo reset keyboard shortcuts help, P - Pair= Pa Submit Request Answer Provide Feedback Next > Figure In this example we will see how to V = "Mame: 15") kg 7.7? x 1041113 determine the buoyant force given the mass gold 19.3x 15 kg [113: and density of a submerged object. A150 kg solid-gold statue is being raised from a sunken treasure ship, as shown in gure The weight of an equal amount of water is 1). (a) Find the tension in the hoisting cable mwatdl' = pwattalr when the statue is completely immersed. (b) = (1.00 x 103kg/m3)(7.77 x 104m3)(9.so m/sz) Flnd the tension when the statue is = \"31 N completely out of the water. This weight is equal to the magnitude H; of the buoyant force. In equilibrium, the tension in the cable equals the weight of the statue minus the magnitude of the buoyant force. Taking the +3; direction as upward, we find that T+Fbiw = 0 T+7.lNl47N = 0 T = 139N We note that this tension is less than the weight of the statue. Part (D): To find the tension when the statue is in air, we ignore the very small buoyant force of air (as we have done in earlier chapters). The tension when the block is in air is equal to its weight: matatta= (15.0 kg)(9.80 m/sz) = 147 N FIEFLECT The tensions calculated here are for a statue at rest or being hoisted up at constant speed. Here is a shortcut leading to the same result for the buoyant force: The density of water is less than that of gold by a factor Of 1.00xlo'kg 1 _ 19.3xlakgrm_o'0515 That is, the weight of a given volume of water is 0.0518 times that of an equal volume of gold, and the weight of the displaced water is 0.0515(147 N) = 7.62 N. 7 Part A - Praotloe Problem: A brass statue with a mass at 0.610 kg and a density of 8.00 x 103 lights" is suspended from a string. What is the tension in the string when the statue is completely immersed in water? Figure 1 01 2 6) Express your answer with the appropriate units. nest Answer Provide Feedback Next ) An ore sample weighs 17.0 N in air. When Part A the sample is suspended by a light cord and totally immersed in water, the tension in the cord is 10.2 N . Find the total volume of the sample. Express your answer in meters cubed. Templates Symbols undo redo reset keyboard shortcuts help, V = m3 Submit Request Answer Part B Find the density of the sample. Express your answer in kilograms per meter cubed. Templates Symbols undo redo reset keyboard shortcuts help, P = kg/m3 Submit Request AnswerIcebergs consist of freshwater ice and float Part A in the ocean with only about 9.80 % of their volume above water (the "tip of the iceberg," so to speak). This percentage can vary, What does this 9.80 % tell us is the density of seawater? depending on the condition of the ice. Express your answer in kilograms per meters cubed to four significant figures. Assume that the ice has the density 0.92 x 10" kg/m , although, in reality, this can vary considerably, depending on the Templates Symbols undo redo reset keyboard shortcuts help, condition of the ice and the amount of impurities in it. P= kg/m3 For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of raising sunken treasure. Submit Request Answer Part B What percentage of the icebergs' volume would be above water if they were floating in a large freshwater lake such as Lake Superior? Express your answer in percent. Templates Symbols undo redo reset keyboard shortcuts help, % Submit Request AnswerWater is flowing in a cylindrical pipe of Part A varying circular cross-sectional area, and at all points the water completely fills the pipe. At one point in the pipe, the radius is 0.135 m . What is the speed of the water at this point if the volume flow rate in the pipe is 1.10 m3/s . Express your answer in meters per second. Templates Symbols undo redo reset keyboard shortcuts help, U = m/s Submit Request Answer Part B At a second point in the pipe, the water speed is 3.90 m/s . What is the radius of the pipe at this point? Express your answer in meters. Templates Symbols undo redo reset keyboard shortcuts help, R = m Submit Request AnswerLet's begin by looking at a ow problem in SET UP Let point 1 be at the Inlet pipe and point 2 at the bathroom. The speed 1:2 ofthe water at the bathroom which the diameter of a pipe changes along is obtained from the continuity equation, A101 = A202. We take y1= 0 at the inlet and 02 = 5.0 m at the the flow path. We will need to use both the bathroom. We are given p1 and v1; we can find :12 from Bernoulli's equation. To nd the time required to fill the continuity equation and Bernoulli's equation bathtub, we use the volume flow-rate relationship AV/At = A0. The bathtub's volume is for this problem. Water enters a house 100 L = 100 x 1031103. through a pipe with an inside diameter of 20 cm at a gauge pressure of 4.0 X 105 Pa SOLVE From the continuity equation, the ow speed 02 in the bathroom is (about 4 atm, or 60 lb/in. The cold-water A1 I (1.0 cm)' pipe leading to the second-floor bathroom U2 = 1:1 (,2.0 m/s) = 8.0 m/e. 5.0 m above is 1.0 cm in diameter 715 (0.50 cm) (gure 1). Find the flow speed and gauge pressure in the bathroom when the flow speed at the inlet pipe is 2.0 m/s. How much time would be required to fill a 100 L :32 bathtub with cold water? From Bernoulli's equation, the gauge pressure p2 in the bathroom is P1 iplvzz v12) - 00(02 311) 4.0 x 105 Pa , i (1.0 x 103kg/m3)(04 n12 92 , 4.0 1.12/52) (1.0 x 103kg/m3)(9.80 m/s2)(5.0 m) 3.2 x 105 Pa 3.2 atm = 47 lb/in.z (gauge pressure). The volume flow rate is Air/At = A202 = (0.50 X 102m)2(8.0 m/e) 0.3 x 10'4m3/s = 0.63 L/s. The time needed to fill the tub is 100 L/(O.63 L/s) = 160 s. FIEFLECT Note that when the water is turned Off, the second term on the right ofthe Pressure equation vanishes, and the pressure rises to 3.5 x 105 Pa. In fact, when the uid is not moving, Bemoulli's equation reduces to the pressure relationship that we derived for a fluid at rest. v Part A - Practice Problem: Determine the gauge pressure for a 2.0-cm-diameter iauoet located next to the washing machine in the basement, 2.? m below where the pipe enters the house. Express your answer with the appropriate units. Figure 1011 \\ nest Answer I ( Retum to Assignment Provide Feedback