A wind turbine with a rotor diameter of 40 m produces 90 kW of electrical power when the wind speed is 8 m-s-1. The density of air impinging on the turbine is 1.2 kg-m-3. What fraction of the kinetic energy of the wind impinging on the turbine is converted to electrical energy?
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- 25.0 0 25.0 0 30.00 w ww 15.0 0 10.00 20.0 0! 20.0 0 50.0 0 3. 40.00 50.00 wwClassical Mechanics. A block of mass m = 5.00-kg is moving to the right with a speed of v = 2.00 m/s on a horizontal, frictionless surface. The block encounters a relaxed (that is, neither compressed nor extended) spring with spring constant k = 2,000.00 N/m. a. What is the kinetic energy of the block before hitting the spring? b. What is the kinetic energy of the block when the spring is at maximum compression? c. How much energy is stored in the spring at maximum compression? d. How far does the spring compress at its maximum compression? e. If the spring converts its stored energy completely into motion of the block, what is the speed of the block after release from the spring? f. (For this part of the problem, the surface is not frictionless) Suppose the speed of the block after release from the spring is 1.5 m/s to the left, how much work (sign and magnitude) was done by non-conservative forces between the time when the initial velocity is 2.00 m/s and the time when the velocity =…An 210kg drone hits the ground at 311km/h and penetrates to a depth of 81.0cm.What was the force the ground exerted on the drone?
- Plan A - Get people off the Earth in a permanent space habitat. Recall that the gravitational potential energy of an object in orbit around the Earth has magnitude GMmd where M is the mass of the Earth and m is the mass of the object in orbit around it (G = 6.67×10-11Nm2/kg2). If this is also equal to the energy that must be expended (work) to place the object at orbital altitude d, i. calculate the work required to place 100 million people in orbit at 300 miles altitude. Use a mass of 70 kg for the average mass per person. (1 Joule=1 Nm) ii. How does this compare to the current annual energy consumption of the United States? (1 Watt hour = 3600 Joules)A diver of mass 68 kg stands on a diving board 5.0 m above a pool. At the moment of the jump, the diving board transfers its 3400 J of energy to the diver, who leaves the board at an angle of 35°. a. What is the (total) speed of the diver just as they leave the diving board? b. What is the maximum height (relative to the surface of the water) of the diver? c. How long does it take for the diver to reach the surface of the water?What is the power in kW produced by the La Rance tidal power station in France if the usable tidal range is 10 m? The barrage is 140m long and the area of the basin behind the barrage is 22 km2. Tidal period is 12h 25minutes. Density of salt water is 1020 kg/m3. Use proper units and 3 significant figures.
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