Vewton's second law is the foundation for the differ- ential equation of conservation of linear momentum (to be discussed in Chap. 9). In terms of the material acceleration following a fluid particle (Fig. P7-23), we write Newton's second law as folows: F = må = m (V.VV dt Or, dividing both sides by the mass m of the fluid particle, (V-V)V де + (V vjv т Write the primary dimensions of each additive term in the (second) equation, and verify that the equation is dimension- ally homogeneous. Show all your work.

University Physics Volume 1
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Chapter9: Linear Momentum And Collisions
Section: Chapter Questions
Problem 66P: Two particles of masses m1 and m2 , move uniformly in different circles of radii R1 and R2 R2 about...
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Vewton's second law is the foundation for the differ-
ential equation of conservation of linear momentum (to be
discussed in Chap. 9). In terms of the material acceleration
following a fluid particle (Fig. P7-23), we write Newton's
second law as folows:
F = må = m
(V.VV
dt
Or, dividing both sides by the mass m of the fluid particle,
(V-V)V
де
+ (V vjv
т
Write the primary dimensions of each additive term in the
(second) equation, and verify that the equation is dimension-
ally homogeneous. Show all your work.
Transcribed Image Text:Vewton's second law is the foundation for the differ- ential equation of conservation of linear momentum (to be discussed in Chap. 9). In terms of the material acceleration following a fluid particle (Fig. P7-23), we write Newton's second law as folows: F = må = m (V.VV dt Or, dividing both sides by the mass m of the fluid particle, (V-V)V де + (V vjv т Write the primary dimensions of each additive term in the (second) equation, and verify that the equation is dimension- ally homogeneous. Show all your work.
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