A hydroelectric power facility converts the gravitational potential energy of water behind a dam to electric energy. (For each answer, enter a number.) (a) What is the gravitational potential energy (in J) relative to the generators of a lake of volume 29.0 km³ (mass = 2.90 x 10¹3 kg), given that the lake has an average height of 35.0 m above the generators? J (b) Compare this with the energy stored in a 9-megaton fusion bomb. Elake/bomb =
Q: A hydroelectric power facility converts the gravitational potential energy of water behind a dam to…
A: Volume of a lake = 22.0 km3 Mass = Height = 39 mEnergy stored in a fusion bomb = 9 megaton
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Q: A hydroelectric power facility converts the gravitational potential energy of water behind a dam to…
A: Mass of water (m) = 2.30×1013 kg Vertical height (h) = 37 m
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Q: A hydroelectric power facility converts the gravitational potential energy of water behind a dam to…
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Q: A hydroelectric power facility converts the gravitational potential energy of water behind a dam to…
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- Suppose that in one year a country produces 2.77 × 10'' kilowatt-hours (kWh) of electrical energy from 4148 hydroelectric plants (1.00 kWh = 3.60 × 10° J). On average, each plant is 90.0% efficient at converting mechanical energy to electrical energy, and the average dam height is 50.0 m. At 2.77 x 10!1 kWh of electrical energy produced in one year, what is the average power output Payg per Pavg W %3D hydroelectric plant? What total mass of water m flowed over the dams during that year? m = kg What was the average mass of water mavg per dam that provided the mechanical energy to generate the electricity? mavg kg What was the average volume of water Vavg per dam that provided the mechanical energy to generate the electricity? (The density of water is 1000 kg/m³.) Vavg m %3D A gallon of gasoline contains 4.50 × 10' J of energy. How many gallons n of gasoline did the 4148 dams save? n = gal MacRook ProWhen the Glen Canyon hydroelectric power plant in Arizona is running at capacity, 690 m3 of water flows through the dam each second. The water is released 220 m below the top of the reservoir. If the generators that the dam employs are 90% efficient, what is the maximum possible electric power output?(a) Compute the electrical energy used by a household whose monthly electrical bill is $43, computed at the rate of $0.05 per kWh.(b) How long could this energy be used to burn ten 60 W light bulbs?(c) If this energy were used to raise a car of mass 1985 kg, to what height would the car be raised?
- A hydroelectric power facility converts the gravitational potential energy of water behind a dam to electric energy. (For each answer, enter a number.) (a) What is the gravitational potential energy (in J) relative to the generators of a lake of volume 35.0 km³ (mass = 3.50 x 10¹3 kg), given that the lake has an average height of 30.0 m above the generators? X J (b) Compare this with the energy stored in a 9-megaton fusion bomb. Elake/bomb X(1) Suppose you lift a stone that has a mass of 5.1 kilograms off the floor onto a shelf that is 2.5 meters high. How much work have you done? 124.95 Joules (2) Suppose you lift a laptop that weighs 5.3 pounds off the floor onto a shelf that is 2 feet high. How much work have you done? 347.68 x foot-pounds (3) The force on a particle is described by 6x work done in moving the particle from the origin to x = 9. - 2 pounds at a point r feet along the r-axis. Find the 9823.5 Vo foot-poundsA mountain climber is about to haul up a 90-m length of hanging rope. How much work will it take if the rope weighs 0.65 N/m? Set up the integral that gives the work done. (Type an exact answer, using radicals as needed.)
- A child of mass m = 27 kg slides down a slide of height h = 2.1 m without friction. Let gravitational potential energy be zero at ground level. Write an expression for the child's total mechanical energy, E, at the top of the slide, in terms of the variables in the problem and the acceleration due to gravity g. Calculate the change in the child's potential energy, ΔU in joules, from the top to the bottom of the slide at ground level (i.e. ΔU = Uground- Utop). What is the child's final speed, vf in m/s?A 2 kg object is thrown downward on an incline with initial velocity of 5m/s. After 12 meter displacement, its velocity becomes 8m/s. What is work done on the object by friction during the motion? (friction is between object and inclined surface). (Please type all steps of your solution and show the formulas you have used.)You fly from Boston’s Logan Airport, at sea level, to Denver, altitude 1.6 km. Taking your mass as 65 kg and the zero of potential energy at Boston, what’s your gravitational potential energy (a) at the plane’s 11-km cruising altitude and (b) in Denver? I’ve completed the question and want to compare to see if it’s correct
- (a) What is the kinetic energy in joules of a 1122 kg automobile traveling at 88.9 km/h? (b) How much work would have to be done to bring a 1122 kg automobile traveling at 88.9 km/h to a stop?a rope applies a hortizontal force of 180 N to pull a crate a distance of 2 m across a floor. A frictional force of 120 N opposes this motion. What is the total work done on the crate?the price of 1 kWh of electrical energy in the greater Vancouver area is currently 12.6 cents. Let's try to get a feel for what amount of energy this corresponds to. (A) $1.00 of energy in the form of gravitational potential energy at this price corresponds to what height above ground level for a 65.0 kg person? (B) $1.00 of kinetic energy at this price corresponds to what speed for a 1000 kg car?