A scientist is calculating the density of an ore sample. The scien- tist measures that the ore sample weighs 22.4 N in air. When the sample is suspended by a thin light cord and totally immersed in water, the tension in the cord is 14.2 N. What is the density of the ore sample that the scientist calculates. You can assume that any buoyant force from air is negligible.
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- An otter is swimming in the deep area of his tank at the zoo. The surface area of the otter's back is A = 0.55 m2, and you may assume that his back is essentially flat. The gauge pressure of the water at the depth of the otter is P = 14500 Pa. a. Enter an expression for the magnitude of the force F on the back of the otter in terms of the gauge pressure P and the atmospheric pressure P0. b. Solve for the magnitude of the force F, in newtons.Sharks are generally negatively buoyant; the upward buoyant force is less than the weight force. This is one reason sharks tend to swim continuously; water moving past their fins causes a lift force that keeps sharks from sinking. A 92 kg bull shark has a density of 1040 kg/m3.a. What lift force must the shark’s fins provide if the shark is swimming in seawater?b. Bull sharks often swim into freshwater rivers. What lift force is required in a river?Bowling balls are roughly the same size but come in a variety of weights. Given that the official radius a bowling ball should have is roughly 0.110 m, calculate the weight of the heaviest bowling ball that will float in a fluid of density 1.000 × 10° kg/m³. 566.9 weight: N Incorrect
- 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 46.0 g and its apparent mass when submerged is 3.60 g (the bone is watertight). What mass of water is displaced? What is the volume of the bone? What is its average density?A block of wood of length L = 21.0 cm, width w = 9.53 cm, and height h = 5.92 cm is just barely immersed in water by placing a mass m on the top of the block. The density of the wood is ρ = 0.390 g/cm3. The value of m is A. 0.72 kg B. 1.2 kg C. 1.6 kg D. 7.1 kg E. 0.36 kg please show reasoning, thank you!A ball made of cork has a diameter of 20 cm and an average density of 250 g/L. What force is necessary to hold it completely submerged under water? What is its acceleration if you let it go?
- T= Total Tension From the diagram shown in FIG. B, each object has a Base Area of 100cm? and a vertical height of 10cm. They are connected with a strong tension wire of negligible weight at an equal distance of 20cm. They are all submerged in Water. Calculate the minimum Force (T) needed to start lifting all the connected objects. Solid Gold Cone 10 cm 20 cm Solid Aluminum Cylinder 10 cm Given Data: for Solid Conical Gold: Density = 19,300 kg/m for Solid Aluminum Cylinder: 20 cm Solid Lead Cube Density = 2,700 kg/m³ 10 cm for Solid Lead Cube: Density = 11,300 kg/m³ FIG. B Water Density = 1,000 kg/m3 %3DThe traditional method of measuring a person's body‑fat ratio is to weigh them on dry land and then weigh them while submerged in water. The body‑fat ratio can be calculated using the difference in these weight measurements. Unfortunately, this method requires that the person become submerged in water, which is a problem for those suffering from hydrophobia (fear of water). Angel investors give money to companies that they think have highly marketable products or services in exchange for partial ownership of the company. A company has mailed a proposal to investors seeking money to market a new device for measuring a person's body‑fat ratio with no need for the person to get wet. In the company's proposal, the person in the figure is standing on a weight scale in a sealed chamber. Initially, the chamber is maintained at standard atmospheric pressure. However, the pressure is then lowered and the new weight is noted. Derive an expression for the density of the person in terms of his…a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 26.6 m. Assume the density of the water is 1.00 ✕ 103 kg/m3 and the air above is at a pressure of 101.3 kPa. (b) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 30.0 cm? N
- The traditional method of measuring a person's body-fat ratio is to weigh them on dry land and then weigh them while submerged in water. The body-fat ratio can be calculated using the difference in these weight measurements. Unfortunately, this method requires that the person become submerged in water, which is a problem for those suffering from hydrophobia (fear of water). Angel investors give money to companies that they think have highly marketable products or services in exchange for partial ownership of the Owi company. A company has mailed a proposal to investors seeking money to market a new device for measuring a person's body-fat ratio with no need for the person to get wet. In the company's proposal, the person in the figure is standing on a weight scale in a sealed chamber. Initially, the chamber is maintained at standard atmospheric pressure. However, the pressure is then lowered and the new weight is noted. Derive an expression for the density of the person in terms of his…(a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 22.4 m. Assume the density of the water is 1.00 ✕ 103 kg/m3 and the air above is at a pressure of 101.3 kPa. Pa(b) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 36.0 cm? NThe container as shown is filled with oil. It is open to the atmosphere on the left.a. What is the pressure at point A?b. What is the pressure difference between points A and B? Between points A and C?