A small metal pan of length 100cm, width 20cm and depth 4cm is floating in water. When a uniform vertical load of 1.5 N/m is applied as shown in Figure Q1, the pan assumes the given configuration. Find the weight of the pan and the magnitude of the righting moment developed by the change in the position of the line of action of the buoyant force. 4 cm 20cm W FB 1.5N/m
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- A common way of salvaging cannons from old wrecks is to attach an inflatable balloon filed with air. Assume that the cannon is a solid cylinder of iron which is 1.30m long with a radius 17.3cm. The density of iron is 7.87g/cm^3. If an air bag were filled twice the volume necessary. a. What volume of air bag wil be floating above the water surface?Find the pressure difference required between the ends of a 2.00 m long, 1.00 mm diameter horizontal tube for 40° C water to flow through it at an average speed of 4.0 m/s. Water at 40° has a viscosity of 0.7 x 10-3 Pa s. The pressure difference is equal to ______x105 Pa. Recall the equation for volume flow rate with viscosity: Δ?Δ?=??4Δ?8??A swimming pool has dimensions 36.0 m ✕ 6.0 m and a flat bottom. The pool is filled to a depth of 2.10 m with fresh water. (a) What is the force exerted by the water on the bottom? N down(b) What is the force exerted by the water on each end? (The ends are 6.0 m.) (c) What is the force exerted by the water on each side? (The sides are 36.0 m.)
- 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.Three solid objects are floating in a liquid, as in the drawing. They have different weights and volumes, but have the same thickness (the dimension perpendicular to the screen). Rank the objects according to their density, largest first. O A, C, B O A, B, C O B, A, C O B, C, A O C, A, B CPart B - An aluminum block of volume 200 × 10-6 m3 is held by a string at rest in oil as shown. ρAL = 2700 kg/m3, ρoil = 900 kg/m3, and g = 10 m/s2. Now the same block is placed in water, still completely submerged. Water is more dense than oil. The net force on the block will ______. Answers: decrease increase stay the same Part C - Now the same block is placed in water, still completely submerged. Water is more dense than oil. The buoyant force on the block will ______. Answers: stay the same decrease increase Part D - Now the same block is placed in water, still completely submerged. Water is more dense than oil. The tension in the string will ______. Answers: stay the same decrease increase
- as shown below a beam of length l is in equilibrium while being fully submerged in water. the beam is horizontal and a vertical string is attached to one end. the dot represents the center of mass and is 0.23l from where the string is attached. the buoyant force acts on the geometric center of the beam. the buoyant force on the beam is 900 N. determine the beams weight and tension in. the stringA horizontal board of negligible thickness and area 2.0 m2 hangs from a spring scale that reads 80 N when a 4.0 m/s wind moves above the board. The air below the board is stationary. When the wind stops, the scale reads AnswerN. The density of air is 1.25 kg/m3 and treat the air as an ideal fluid I did not understand my class's explanation. can you please explain this?Suppose you have a 8.8 cm diameter fire hose with a 3.6 cm diameter nozzle. a) Calculate the pressure drop due to the Bernoulli effect as water enters the nozzle from the hose at the rate of 40.0 L/s. Take 1.00 × 103 kg/m3 for the density of the water. b) To what maximum height, in meters, above the nozzle can this water rise? (The actual height will be significantly smaller due to air resistance.