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- (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 Sun produces energy at a rate of 4.001026 W by the fusion of hydrogen. (a) How many kilograms of hydrogen undergo fusion each second? (b) If the Sun is 90.0% hydrogen and half of this can undergo fusion before the Sun changes character, how long could it produce energy at its current rate? (c) How many kilograms of mass is the Sun losing per second? (d) What fraction of its mass will it have lost in the time found in part (b)?The nuclear reaction that powers the sun is the fusion of four protons into a helium nucleus. The process involves several steps, but the net reaction is simply 4p → 4He + energy. The mass of a helium nucleus is known to be 6.64 x 10-27 kg.a. How much energy is released in each fusion?b. What fraction of the initial rest mass energy is this energy?
- The half-life of a muon at rest is 1.5 μs. Muons that have been accelerated to a very high speed and are then held in a circular storage ring have a half-life of 7.5 μs.a. What is the speed of the muons in the storage ring?b. What is the total energy of a muon in the storage ring? The mass of a muon is 207 times the mass of an electron.The mass of a proton is 1.67 × 10-27 kg. A. Find the rest energy in joules. B. Find the rest energy in mega-electron volts.What is the total energy, in MeV, ofa. A proton traveling at 99.0% of the speed of light?b. An electron traveling at 99.0% of the speed of light?
- The sun radiates energy at the rate 3.8 x 1026 W. The source of this energy is fusion, a nuclear reaction in which mass is transformed into energy. The mass of the sun is 2.0 x 1030 kg.a. How much mass does the sun lose each year?b. What percentage is this of the sun’s total mass?c. Estimate the lifetime of the sun.A rocket goes from 0 m/s to 40 meters per second squared in 8 s. A) after 41s, what is it's final speed in m/s? B) What length of time has passed for the rocket to reach a speed of 7100 m/s?A 1.0 g particle has momentum 4 x 105 kg m/s. What is the particle's speed in m/s? What is this particle's rest energy, kinetic energy, and the total energy?
- A proton is accelerated to 0.999c.a. What is the proton’s momentum?b. By what factor does the proton’s momentum exceed its Newtonian momentum?A particle has a mass of 1.6E-27kg and a momentum of 2.2E-18 kg.m/s. What is the speed of the particle? Express your answer in units of c, the speed of light. Keep four significant digits.T77. What is the speed of a particle if the kinetic energy is equal to the rest energy?