11. [Essay] (1) Assume the radius of the capillary to be r, the liquid in the capillary is of height h. If the radius of the capillary is reduced to 0.5r , what is the height of the liquid in the capillary ? (2) The unit of Surface Energy is J m2. Why?
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- Consider a cube of wood. The cube of wood floats in a fluid so that half of its volume is submerged. What is the Sumbmerged Fraction?A tank has the shape of an inverted circular cone with height 7 m and base radius 3 m. It filled w water. Set up the integral form, don't evaluate it, for the work required to empty the tank by pumping all of the water to the top of a tank. (The density of water is 1000 kg/m³ and the acceleration due to gravity is 9.8 m/s²). 9800 7 S 9800 9800 49 9 - 49 * (7 — x)² dx 9 (7-2)²dx 49 (7 — x)² dx 7 9 [²3/10 S 49 -(7 — x)³ dx 7 9 √2/2 49 -(7 — x)² dxA tank in the shape of an inverted cone has a height of 20 meters and a base radius of 11 meters and is filled with liquid to a depth of 16 meters. Determine the amount of work needed to pump all of the liquid to a point 1m from to the top of the tank. Assume that the density of the liquid is 793 kg/m 3
- To what height should a cylindrical vessel be filled with a homogenous liquid to make the force with which the liquid presses on the sides of the vessel equal to the force exerted by the liquid on the bottom of the vessel?A moonshiner produces ethanol and stores it in a stainless tank in the form of a cylinder, 20 cm in diameter with a tight-fitting piston at the top. The total volumetric capacity of the tank is 0.20 m3 (200L). In an attempt to squeeze a little more into the tank. he piles lead bricks on the piston, the total mass of the bricks and piston is 120 kg. What additional volume of ethanol can he squeeze into the tank? Kethanol=11 x 10-10 Pa-1.Assume that a raindrop has a volume of 0.05 cm^3 and you need an Avogadro's number of raindrops to fill up the cubic water tank. What is the length of the edge of the tank?
- 1. Find kinetic energy per cubic meter of flowing blood (V =1 m') in aorta for individual at Q = 5 liter/min, radius of aorta 1 cm. The density of blood is rest. Suppose flow rate is about p-1.05-10' kg/m. R =When a fish expands its air bladder, the depth of the fish (how far it is from the surface of the water) sometimes increases and sometimes decreases depending on the size of the fish. decreases. stays the same. increases. Don't use Chat GPT please.......1a) Calculate the mass of a solid gold rectangular bar that has dimensions lwh = 4.80 cm ✕ 14.0 cm ✕ 23.0 cm. (The density of gold is 19.3 ✕ 103 kg/m3.) kg = 1b) The four tires of an automobile are inflated to a gauge pressure of 2.1 105 Pa. Each tire has an area of 0.024 m2 in contact with the ground. Determine the weight of the automobile. N =