A rigid, lighter-than-air dirigible filled with helium cannot continue to rise indefinitely. Why? What determines the maximum height it can attain?
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A rigid, lighter-than-air dirigible filled with helium cannot continue
to rise indefinitely. Why? What determines the maximum height
it can attain?
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- A light spring of force constant k = 162 N/m rests vertically on the bottom of a large beaker of water (Figure a). A 5.50-kg block of wood (density = 650 kg/m³) is connected to the spring, and the block-spring system is allowed to come to static equilibrium (Figure b). What is the elongation AL of the spring? .7448 7x Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. cm a www AL b mFour objects of the same size are in the water tank as shown. Assume all are at rest.Rank their densities from highest to lowest.The following container is spun with an angular velocity of 12 rad/s after being 45% filled with water. Determine the pressure that would be at the base of the container at the most outer diameter if it has a diameter of 250mm, a height of 200mm and the container is sealed. Ø250mm Ø200mm P= ?
- The towers holding small wind turbines are often raised and lowered for easy servicing of the turbine. Shown is a 1000 kg wind turbine mounted on the end of a 24-m-long, 700 kg tower that connects to a support column at a pivot. A piston connected 3.0 m from the pivot applies the force needed to raise or lower the tower. At the instant shown, the wind turbine is being raised at a very slow, constant speed. What magnitude force is the piston applying?A spring is attached to the bottom of an empty swimming pool, with the axis of the spring oriented vertically. An 25.0-kg hollow block of wood (p = 840 kg/m³) is fixed to the top of the spring and compresses it. Then the pool is filled with water, completely covering the block. The spring is now observed to be stretched twice as much as it had been compressed. Determine the percentage of the block's total volume that is hollow. Ignore any air in the hollow space. Number i Units In air X 2x www Submerged in water --Unstrained lengthFind the center of mass of a laminate bounded by y=−x,y=x,y=2 with variable density modeled by \rho (x,y)=y+5. Question 3 Answer a. (0,2619) b. (35,94) c. (−23,116) d. None of the above e. (0,1) f. (0,32)
- While workers spray paint the ceiling of a room, numerous small paint aerosols are dispersed into the air. Eventually, these particles will settle out and fall to the floor or other surfaces. Consider small spherical paint particles of diameter D = 10 μm and specific gravity of 1.2. Determine the time it would take this particle to fall 2.4 m from near the ceiling to the floor. Assume that the air within the room is motionless.A light spring of constant 165 N/m rests vertically on the bottom of a large beaker of water.A 4 kg block of wood of density 649 kg/m3is connected to the top of the spring andthe block-spring system is allowed to come tostatic equilibrium.What is the elongation ∆L of the spring?The acceleration of gravity is 9.8 m/s2.Answer in units of cm.Consider a spherical ash particle of diameter 65 µm, falling from a volcano at a high elevation in air whose temperature is −50°C and whose pressure is 55 kPa. The density of air is 0.8588 kg/m3 and its viscosity is 1.474 × 10−5 kg/m⋅s. The density of the particle is 1240 kg/m3. The drag force on a sphere in creeping flow is given by FD = 3??VD. The terminal velocity of this particle at this altitude is (a) 0.096 m/s (b) 0.123 m/s (c) 0.194 m/s (d ) 0.225 m/s (e) 0.276 m/s
- A 5.00 m -tall, 60.0 cm -diameter concrete column supports a 3.00×105 kg load. By how much is the column compressed?Water is ejected from the water nozzle with a speed vo = 41.7 ft/sec. For what value of the angle will the water land closest to the wall after clearing the top? Neglect the effects of wall thickness and air resistance. What distance x to the right of point B does the water land? Answer: 0 = A X= 10 8 13.3' i i 45' Not to scale ft 6.9' B