Solution:Conservation of momentum:mad tmal—oa)=mnon+mu—0H)Solve for VH:MnVH --Vn (Eqn. 1)MHConservation of energy (with positive Wnc):2 (mav²) + Wnc = ½m v² + ½ mμv²псPlug in for vд from (Eqn. 1):2 (mana) +Wnc = = muốn tầmClean up:mdv² + Wnc=Mnmn +MH-) v²/2½/ (mMnMHUn2.)²Plug in masses of "particles" and Wnc:(2.0147kg)v² + (3.96 × 10¹4 J) = (.6733kg)v Nuclear Fusion ReactionIn a human-scale model of a nuclear fusion reaction,two "deuterons" smash together head-on. Each hasa mass of 2.0147kg and is moving at speed vd.The result is a "Helium-3 nucleus" (mass 3.0160kg)and a separate "neutron" (mass 1.0090kgпс). Amazingly, this reaction produces a positive Wnof 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 thereaction.E4Vd1.63×107mSType your answer...+D D3НеN.ProtonNeutronhttp://fusion.srubar.netUn×107:mS&

Answered: Image /qna-images/answer/f427c743-fdf7-4456-8afc-73bdcc8c359a.jpg

Answered: Solution: Conservation of momentum: mad…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter11: Energy And Its Conservation

Section: Chapter Questions

Problem 44A

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Similar questions

(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) 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)?
(a) Find the momentum of a asteroid heading towards Earth at 30.0 km/s. (b) Find the ratio of this momentum to the classical momentum. (Hint: Use the approximation that at low velocities.)
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) Calculate for a proton that has a momentum of 1.00 kgm/s. (b) What is its speed? Such protons form a rare component of cosmic radiation with uncertain origins.
(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 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?
(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?
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.
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?

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