Nuclear Fusion ReactionIn a human-scale model of a nuclear fusion reaction, two"deuterons" smash together head-on. Each has a mass of2.0147kg and is moving at speed vd.The result is a "Helium-3 nucleus" (mass 3.0160kg) and a separate"neutron" (mass 1.0090kg). Amazingly, this reaction produces apositive Wnc of 3.96 × 10 14 J -- by converting mass into kineticenergy as predicted by Einstein's E mc²=The "neutron" moves with a speed of un after the reaction.E4☑Vd1.57×107 m(no answer)Correct Answer: 3.64SUn×107 mS++D D3НеN.ProtonNeutronhttp://fusion.srubar.net Solution:Conservation of momentum:mava + ma(-va) = Mn Vn + MH (-VH)Solve for VH:VH=MnΜΗUn (Eqn. 1)Conservation of energy (with positive Wnc):2 (mav²) + Wne = ½ m² v²/₁₂ + ½ mн V²/псPlug in for VH from (Eqn. 1):2 (mav²) + Wnc = m₁v² + ½ mClean up:псmav²/2 + Wnc = 1 / (mn +m²ΜΗບPlug in masses of "particles" and Wnc:Mn UnΜΗ2)²(2.0147kg) + (3.96 × 10 14 J) = (.6733kg)v

Answered: Image /qna-images/answer/ce43d372-4134-45fc-888c-52df6754537c.jpg

Nuclear Fusion Reaction In a human-scale model of a nuclear fusion reaction, two "deuterons" smash together head-on. Each has a mass of 2.0147kg and is moving at speed va- The result is a "Helium-3 nucleus" (mass 3.0160kg) and a separate "neutron" (mass 1.0090kg). Amazingly, this reaction produces a positive Wne of 3.96 × 1014 J -- by converting mass into kinetic energy as predicted by Einstein's E = mc². The "neutron" moves with a speed of v₂ after the reaction. E + + D D ³He N. Proton Neutron http://fusion.srubar.net 4 Vd 1.57×107 m (no answer) Correct Answer: 3.64 Un x10m S

Nuclear Fusion Reaction In a human-scale model of a nuclear fusion reaction, two "deuterons" smash together head-on. Each has a mass of 2.0147kg and is moving at speed va- The result is a "Helium-3 nucleus" (mass 3.0160kg) and a separate "neutron" (mass 1.0090kg). Amazingly, this reaction produces a positive Wne of 3.96 × 1014 J -- by converting mass into kinetic energy as predicted by Einstein's E = mc². The "neutron" moves with a speed of v₂ after the reaction. E + + D D ³He N. Proton Neutron http://fusion.srubar.net 4 Vd 1.57×107 m (no answer) Correct Answer: 3.64 Un x10m S

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter38: Relativity

Section: Chapter Questions

Problem 4P: A muon formed high in the Earths atmosphere is measured by an observer on the Earths surface to...

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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?
(a) Calculate the speed of a 1.00- g particle of dust that has the same momentum as a proton moving at 0.999c. (b) What does the small speed tell us about the mass of a proton compared to even a tiny amount of macroscopic matter?
A muon formed high in the Earths atmosphere is measured by an observer on the Earths surface to travel at speed = 0.990c for a distance of 4.60 km before it decays into an electron, a neutrino, and an antineutrino (c+v+v). (a) For what time interval does the muon live as measured in its reference frame? (b) How far does the Earth travel as measured in the frame of the muon?
(a) All but the closest galaxies are receding from our own Milky Way Galaxy. If a galaxy 12.0x109ly away is receding from us at 0.900c, at what velocity relative to us must we send an exploratory probe to approach the other galaxy at 0.990c as measured from that galaxy? (b) How long will it take the probe to reach the other galaxy as measured from Earth? You may assume that the velocity of the other galaxy remains constant. (c) How long will it then take for a radio signal to be beamed back? (All of this is possible in principle, but not practical.)
(a) Using data from Table 7.1, find the mass destroyed when the energy in a barrel of crude oil is released. (b) Given these barrels contain 200 liters and assuming the density of crude oil is 750 kg/m3, what is the ratio of mass destroyed to original mass, m/m ?
A starship is 1025 ly from the Earth when measured in the rest frame of the Earth. The ship travels at a speed of 0.80c on its way back to the Earth. What is the distance traveled as measured by the crew of the starship?
A muon has a rest mass energy of 105.7 MeV, and it decays into an electron and a massless particle. (a) If all the lost mass is converted into the electron's kinetic energy, find for the electron. (b) What is the electron's velocity?
When 1.00 g of hydrogen combines with 8.00 g of oxygen, 9.00 g of water is formed. During this chemical reaction, 2.86 105 J of energy is released. (a) Is the mass of the water larger or smaller than the mass of the reactants? (b) What is the difference in mass? (c) Explain whether the change in mass is likely to be detectable.
(a) Using data from Potential Energy of a System (http://cnx.org/content/m5831211atest/#fs-id1165036086155) , find the mass destroyed when the energy in a barrel of crude oil is released. (b) Given these barrels contain 2(N) liters and assuming the density of crude oil is 750kg/m3, what is the ratio of mass destroyed to original mass, m/m?
An observer in a coasting spacecraft moves toward a mirror at speed v relative to the reference frame labeled S in Figure P39.85. The mirror is stationary with respect to S. A light pulse emitted by the spacecraft travels toward the mirror and is reflected back to the spacecraft. The spacecraft is a distance d from the mirror (as measured by observers in S) at the moment the light pulse leaves the spacecraft. What is the total travel time of the pulse as measured by observers in (a) the S frame and (b) the spacecraft?
(a) All but the closest galaxies are receding from our own Milky Way Galaxy. If a galaxy 12.0109ly ly away is receding from us at 0. 0.900c, at what velocity relative to us must we send an exploratory probe to approach the other galaxy at 0.990c, as measured from that galaxy? (b) How long will it take the probe to reach the other galaxy as measured from the Earth? You may assume that the velocity of the other galaxy remains constant. (c) How long will it then take for a radio signal to be beamed back? (All of this is possible in principle, but not practical.)
(a) How long would the mum] in Example 5.3 have lived as observed on Earth if its velocity was. 0.0500c? (b) How far would it have traveled as observed on Earth? (c) What distance is this in the muon’s frame?