Solution: Conservation of momentum: mad tmal—oa)=mnon+mu—0H) Solve for VH: Mn VH - -Vn (Eqn. 1) MH Conservation of energy (with positive Wnc): 2 (mav²) + Wnc = ½m v² + ½ mμv² пс Plug in for vд from (Eqn. 1): 2 (mana) +Wnc = = muốn tầm Clean up: mdv² + Wnc = Mn mn + MH -) v²/2 ½/ (m Mn MH Un 2 .)² Plug in masses of "particles" and Wnc: (2.0147kg)v² + (3.96 × 10¹4 J) = (.6733kg)v 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 vd. The result is a "Helium-3 nucleus" (mass 3.0160kg) and a separate "neutron" (mass 1.0090kg пс ). Amazingly, this reaction produces a positive Wn of 3.96 × 10 14 J -- by converting mass into kinetic energy as predicted by Einstein's E = mc². The "neutron" moves with a speed of un after the reaction. E 4 Vd 1.63×107 m S Type your answer... + D D 3Не N. Proton Neutron http://fusion.srubar.net Un ×107: m S &

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Solution:
Conservation of momentum:
mad tmal—oa)=mnon+mu—0H)
Solve for VH:
Mn
VH -
-Vn (Eqn. 1)
MH
Conservation of energy (with positive Wnc):
2 (mav²) + Wnc = ½m v² + ½ mμv²
пс
Plug in for vд from (Eqn. 1):
2 (mana) +Wnc = = muốn tầm
Clean up:
mdv² + Wnc
=
Mn
mn +
MH
-) v²/2
½/ (m
Mn
MH
Un
2
.)²
Plug in masses of "particles" and Wnc:
(2.0147kg)v² + (3.96 × 10¹4 J) = (.6733kg)v
Transcribed Image Text:Solution: Conservation of momentum: mad tmal—oa)=mnon+mu—0H) Solve for VH: Mn VH - -Vn (Eqn. 1) MH Conservation of energy (with positive Wnc): 2 (mav²) + Wnc = ½m v² + ½ mμv² пс Plug in for vд from (Eqn. 1): 2 (mana) +Wnc = = muốn tầm Clean up: mdv² + Wnc = Mn mn + MH -) v²/2 ½/ (m Mn MH Un 2 .)² Plug in masses of "particles" and Wnc: (2.0147kg)v² + (3.96 × 10¹4 J) = (.6733kg)v
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 vd.
The result is a "Helium-3 nucleus" (mass 3.0160kg)
and a separate "neutron" (mass 1.0090kg
пс
). Amazingly, this reaction produces a positive Wn
of 3.96 × 10 14 J -- by converting mass into kinetic
energy as predicted by Einstein's E = mc².
The "neutron" moves with a speed of un after the
reaction.
E
4
Vd
1.63×107
m
S
Type your answer...
+
D D
3Не
N.
Proton
Neutron
http://fusion.srubar.net
Un
×107:
m
S
&
Transcribed Image Text: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 vd. The result is a "Helium-3 nucleus" (mass 3.0160kg) and a separate "neutron" (mass 1.0090kg пс ). Amazingly, this reaction produces a positive Wn of 3.96 × 10 14 J -- by converting mass into kinetic energy as predicted by Einstein's E = mc². The "neutron" moves with a speed of un after the reaction. E 4 Vd 1.63×107 m S Type your answer... + D D 3Не N. Proton Neutron http://fusion.srubar.net Un ×107: m S &
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