(a) A nuclear power plant converts energy from nuclear fission into electricity with an efficiency of 35.0%. How much mass is destroyed in one year to produce a continuous 1000 MW of electric power? (b) Do you think it would be possible to observe this mass loss if the total mass of the fuel is 104 kg ?
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- Suppose that you have found a way to convert the rest energy of any type of matter directly to usable energy with an efficiency of 73.0%. How many liters of water would be sufficient fuel to very slowly push the Moon 2.30 mm away from the Earth? The density of water is pwater = 1.00kg/liter, the Earth's 'mass is Mearth = 5.97 x 1024 kg, the Moon's mass is Mmoon = 7.36 × 1022 kg, and the separation of the Earth and Moon is dEM = 3.84 x 10° m. Liters water:The mass of a proton is 1.67 × 10-27 kg. Part (a) Find the rest energy in joules. Part (b) Find the rest energy in mega-electron volts.Suppose that you have found a way to convert the rest energy of any type of matter directly to usable energy with an efficiency of 57.0%. How many liters of water would be sufficient fuel to very slowly push the Moon 1.50 mm away from the Earth? The density of water is Pwater = 1.00kg/liter, the Earth's mass is Mearth 5.97 x 1024 kg, the Moon's mass is М, = 7.36 x 1022 kg, and the separation of the Earth and Moon is de.M 3.84 x 10° m. moon water: Liters
- There is a free neutron that is at rest. It decays into a proton (mass energy is 938.30 MeV), an electron (mass energy is 0.50 MeV, and an antineutrino (mass energy is negligible on the scale of MeV). What is the total kinetic energy of the decay products?Suppose that you have found a way to convert the rest energy of any type of matter directly to usable energy with an efficiency of 85.0%. How many liters of water would be sufficient fuel to very slowly push the Moon 2.90 mm away from the Earth? The density of water is pwater = 1.00kg/liter, the Earth's mass is Mearth = 5.97 x 1024 kg, the Moon's mass is Mmoon = 7.36 x 10²² kg, and the separation of the Earth and Moon is deM = 3.84 × 10% m. water: LitersSuppose that you have found a way to convert the rest energy of any type of matter directly to usable energy with an efficiency of 49.0%49.0%. How many liters of water would be sufficient fuel to very slowly push the Moon 3.30 mm3.30 mm away from the Earth? The density of water is ?water=1.00kg/literρwater=1.00kg/liter, the Earth's mass is ?earth=5.97×1024 kgMearth=5.97×1024 kg, the Moon's mass is ?moon=7.36×1022 kgMmoon=7.36×1022 kg, and the separation of the Earth and Moon is ?E,M=3.84×108 mdE,M=3.84×108 m.
- (a) Using data from this table, calculate the mass (in g) converted to energy by the fission of 1.00 kg of uranium. 9 Am, (b) What is the ratio of mass destroyed to the original mass, Am mThe fission of 1 kg of uranium produces 8.0 × 1013 J of energy. Part (a) Calculate the mass, in grams, converted to energy by the fission of 0.85 kg of uranium. Part (b) What is the ratio of the converted mass to the original mass?(a) A nuclear power plant converts energy from nuclear fission into electricity with an efficiency of 35.0%. How much mass is destroyed in one year to produce a continuous 1000 MW of electric power? (b) Do you think it would be possible to observe this mass loss if the total mass of the fuel is 104 kg ?
- The neutron has a mass of 1.67 ✕ 10−27 kg. Consider a neutron moving with a speed of 0.960c. (Enter your answer in GeV.) (a) What is its rest energy? GeV (b) What is its total energy? GeV (c) What is its kinetic energy? GeVSuppose you use an average of 500 kW·h of electric energy per month in your home. (a) How long would 1.00 g of mass converted to electric energy with an efficiency of 38.0% last you? (b) How many homes could be supplied at the 500 kW·h per month rate for one year by the energy from the described mass conversion?The fission of 1 kg of uranium produces 8.0 × 1013 J of energy. Part (a) Calculate the mass, in grams, converted to energy by the fission of 0.95 kg of uranium. Part (b) What is the ratio of the converted mass to the original mass?