Consider a system consisting of three particles: 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 (a) what is the total momentum of this system? FoR - 1 kg - m/s (b) What is the velocity of the center of mass of this system? Fem= m/s (c) What is the total kinetic energy of this system? Krot = (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? Kre

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Chapter1: Units, Trigonometry. And Vectors
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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
Transcribed Image Text: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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