A,b,c Consider a system consisting of three particles:m 3 kg, <10,-4, 15 > m/smy4 kg, 7- <-14, 4,-5 > m/smy 4 kg, F3 < -26, 36, 26 > m/s(a) What is the total momentum of this system?1kg - m/s(b) What is the velocity of the center of mass of this system?cm= 2m/s(c) What is the total kinetic energy of this system?Ktot =%3D(d) What is the translational kinetic energy of this system?Ktrans =(e) What is the kinetic energy of this system relative to the center of mass?Krel%3Dvelocity to get the particle's velocity relative to the center of mass, ithen calculating the corresponding ikinetic energy, ithen atiding up the thee reiativeikmetecenergiesHowever, there is a much simpler way to determine the specified quantity, without ihaving itp do all ithosecaiculations; thimk about what wouemov aiogt therelationships among the various kinds of kinetic energy in a mulltipanticie system. ((Af 9ou wish, U can atenk wour esutity tomg thecomplccatercaationsdescribed.)One way to calculate Kel is to calculate the veloaity of each particle relative to ithe center of mass, by subtracting the center-of-mass veiocity from the particiels ectual

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m 3 kg, 7,- < 10,-4, 15 m/s my4 kg, 7 -<-14, 4,-5> m/s my-4 kg, 7 < -26, 36, 26 > m/s

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter8: Momentum And Collisions

Section: Chapter Questions

Problem 1OQ

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Debye Theory of Solids

In solid-state physics, debye theory is used to estimate the phonons contributing to the specific heat capacity in a solid. It explains that the specific heat is a consequence of the vibrations of the atomic lattice of the solid, which is in contrast to the Einstein model. In the Einstein model, solids are treated as independent, non-interacting quantum harmonic oscillators. This model clearly explains the low-temperature dependence of the heat capacity, which is proportional to T3. This is known as Debye T3 law.

Question

A,b,c

Consider a system consisting of three particles:
m 3 kg, <10,-4, 15 > m/s
my4 kg, 7- <-14, 4,-5 > m/s
my 4 kg, F3 < -26, 36, 26 > m/s
(a) What is the total momentum of this system?
1
kg - m/s
(b) What is the velocity of the center of mass of this system?
cm
= 2
m/s
(c) What is the total kinetic energy of this system?
Ktot =
%3D
(d) What is the translational kinetic energy of this system?
Ktrans =
(e) What is the kinetic energy of this system relative to the center of mass?
Krel
%3D
velocity to get the particle's velocity relative to the center of mass, ithen calculating the corresponding ikinetic energy, ithen atiding up the thee reiativeikmetecenergies
However, there is a much simpler way to determine the specified quantity, without ihaving itp do all ithosecaiculations; thimk about what wouemov aiogt the
relationships among the various kinds of kinetic energy in a mulltipanticie system. ((Af 9ou wish, U can atenk wour esutity tomg thecomplccatercaations
described.)
One way to calculate Kel is to calculate the veloaity of each particle relative to ithe center of mass, by subtracting the center-of-mass veiocity from the particiels ectual

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