To what height should a cylindrical vessel be filled with a homogeneous liquid to make the force with which the liquid presses on the side of the vessel equal.to the force exerted by the liquid on the bottom of the vessel ?
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![To what height should a cylindrical vessel be filled with a homogeneous liquid to make the force with
which the liquid presses on the side of the vessel equal to the force exerted by the liquid on the
bottom of the vessel ?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff6c78e0d-45e3-4b40-8014-ce6a6227df1a%2F5aa80edc-de3e-4b42-9e39-0649b5ad0370%2Fr0nrs1k_processed.jpeg&w=3840&q=75)
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- A spherically shaped balloon has a radius of 12 m, and is filled with helium. How much extra mass can a cargo lift,assuming that the skin and the cargo of the balloon have a mass of 950 kg? Neglect the buoyant force on the cargovolume itself. (The density of air is 1.29 kg/m3 and the density of helium is 0.179 kg/m3)A solid cone made of unknown material is suspended from a scale. Before submersion, the scale reads 100 Newtons. After submersion in water the scale reads 88.0 N as shown below. (a) What is the force of buoyancy on the cone? (b) What weight of water is displaced by the cone? (c) What mass of water is displaced by the cone (in kg)? (d) What volume of water is displaced by the cone (in cubic meters)? (e) What is the volume of the cone (in m³)? (f) What is the mass density of the cone (in kg/m³)? (Density of water, p = 1000 kg/m³) 100 N 88.0 NIn the figure, a cube of edge length L = 0.633 m and mass 1040 kg is suspended by a rope in an open tank of liquid of density 1.03E+3 kg/m³. Find (a) the magnitude of the total downward force on the top of the cube from the liquid and the atmosphere, assuming atmospheric pressure is 1.00 atm, (b) the magnitude of the total upward force on the bottom of the cube, and (c) the tension in the rope. (d) Calculate the magnitude of the buoyant force on the cube using Archimede's principle. (a) Number 18340.3 (b) Number i 3992.2 (c) Number i 14348.1 (d) Number i 3992.2 Units L N Units N Units Units N N L/2 ◄► ◄►
- A U-tube open at both ends is partially filled with water (Figure a). Oil having a density of 790 kg/m³ is then poured into the right arm and forms a column L = 5.18 cm high (Figure b). Shield Po FU h Water Oil a (a) Determine the difference h in the heights of the two liquid surfaces. cm (b) The right arm is then shielded from any air motion while air is blown across the top of the left arm until the surfaces of the two liquids are at the same height (Figure c). Determine the speed of the air being blown across the left arm. Take the density of air as 1.20 kg/m³. m/sA vat contains a mixture of oil and water. The water forms a lower layer which is 0.8 m deep, and above it there is an oil layer 0.3 m thick. The density of water is 1000 kg/m3, and the density of oil is 800 kg/m3. Find the force on a flat door at the bottom of the vessel that has a cross-sectional area of 0.5 m2. The acceleration due to gravity is 9.81 m/s2.Consider an iceberg to be in the form of a cylinder of arbitrary diameterand floating in the ocean as shown. If the cylinder extends 2 m abovethe ocean’s surface, determine the depth of the cylinder below thesurface. The density of ocean water is w = 1024 kg/m3, and the densityof ice is I = 935 kg/m3.
- A spherically shaped balloon has a radius of 11.5 m, and is filled with helium. How much extra mass can a cargo lift,assuming that the skin and the cargo of the balloon have a mass of 800 kg? Neglect the buoyant force on the cargovolume itself.(The density of air is 1.29 kg/m3 and the density of helium is 0.179 kg/m3)help A concrete block with a density of 6550 will sink in water, but a rope suspends it underwater underwater (that is, its completely underwater, not touching the bottom of the lake, and isn't moving. It measures 63 cm x 20 cm x 15 cm, and has a density of 6550 kg/m3. The density of water is 1000 kg/m3 Find the tension in the rope. Hint: Buoyancy problem - similar to the last problem, but add a rope pulling up.The level of boat in water is decided by net force on it by gravity (downward) and buoyant force (upward) by fluid. Force of buoyant only depend on volume, density of water and (g) and all these quantities are constant here. So, it remains constant but force of gravity (weight) decreases as mass is decreased W=mg Since downward force decreases and upward force remains the same, a net upward force arises due to brick thrown in water. As a result, the boat will float higher. 5. You have 3 blocks of different densities. Block A has a density PA = 0.99, and block C has a density of Pc = 0.5 cm3³ 9 cm³° Do each of the blocks float in water? Water has a density of Pwater = 1.0-9 cm³ 1.5, block B has a density PB = b. Which block would be lowest in the water? Submerged counts as lowest if any blocks sink. Which block would sit highest in the water? d. Where would a block with a density of PD = 1.0 = 1.0 sit in the water? cm3