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Books on the topic 'The law of conservation of momentum'

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Published: 28 May 2022
Last updated: 29 May 2022

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1

Momentum. New York: Holiday House, 2012.

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2

Kennedy, W. A. Conservation of linear momentum using vector sum analysis. [Jacksonville, Fla.] (4567 St. Johns Bluff Rd., South Jacksonville 32216): Institute of Police Technology and Management, 1989.

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3

Trade, Canada Department of Foreign Affairs and International. Building momentum: Sustainable development in Canada. Ottawa: Department of Foreign Affairs and International Trade, 1997.

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4

Nature conservation law. 2nd ed. Edinburgh: W. Green/Sweet & Maxwell, 2002.

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5

Illinois. Illinois conservation law. Binghamton, N.Y: Gould Publications, 1988.

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6

Fund, World Wildlife, and British Association of Nature Conservationists., eds. Gaining momentum: An analysis of the role and performance of local authorities in nature conservation. Oxford: Pisces, 1986.

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7

Fagelson, David. Justice as integrity: Tolerance and the moral momentum of law. Albany: State University of New York Press, 2006.

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8

Natural resources conservation law. New Delhi: Sage Publications, 2010.

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9

Jeffery, Michael I., Jeremy Firestone, and Karen Bubna-Litic, eds. Biodiversity Conservation, Law + Livelihoods. Cambridge: Cambridge University Press, 2008. http://dx.doi.org/10.1017/cbo9780511551161.

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10

Bell, L. D. Evidence of momentum conservation at a nonepitaxial metal/semiconductor interface using ballistic electron emission microscopy. [Washington, DC: National Aeronautics and Space Administration, 1996.

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11

Bell, L. D. Evidence of momentum conservation at a nonepitaxial metal/semiconductor interface using ballistic electron emission microscopy. [Washington, DC: National Aeronautics and Space Administration, 1996.

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12

Gillespie, Alexander. Conservation, biodiversity and international law. Cheltenham, UK: Edward Elgar Pub., 2011.

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13

Conservation, biodiversity and international law. Cheltenham, UK: Edward Elgar Pub., 2011.

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14

Kate, Cook. Wildlife law: Conservation and biodiversity. London: Cameron May, 2004.

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15

Bankes, Nigel. International wildlife law: Canadian wildlife law project. Calgary: Canadian Institute of Resources Law, Univ. of Calgary, 2006.

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16

Resources, Utah Division of Water. Water conservation recommendations: Utah Water Conservation Advisory Board. Salt Lake City, UT (1636 W. North Temple, Salt Lake 84116): Utah Board of Water Resources, 1995.

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17

Amano, Ryoichi. Closure models of turbulent third-order momentum and temperature fluctuatiions: Status report. [Washington, DC: National Aeronautics and Space Administration, 1987.

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18

Darla, Guenzler, ed. Conservation trusts. Lawrence: University Press of Kansas, 2001.

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19

Conservation and the law: A dictionary. Santa Barbara, Calif: ABC-CLIO, 1998.

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20

Singh, Chhatrapati. Towards energy conservation law in India. Bombay: N.M. Tripathi, 1989.

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21

Klemm, Cyrille de. Wild plant conservation and the law. [Gland, Switzerland]: IUCN-The World Conservation Union, 1990.

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22

Hērat, Karuṇāratna. Parisara ārakṣaṇa nītiya: Environmental conservation law. Anurādhapura: Vijāyi Prakāśakayō, 2015.

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23

Vermont. Soil Conservation Act: Conservation, development, and use of natural resources. Orford, N.H: Equity Pub. Corp., 1986.

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24

Brunetti-Pons, Clotilde. L'obligation de conservation dans les conventions. Aix-en-Provence: Presses universitaires d'Aix-Marseille, Faculté de droit et de science politique, 2003.

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25

Environmental law in Norway. Alphen aan den Rijn: Kluwer Law International, 2011.

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26

Bugge, Hans Christian. Environmental law in Norway. Alphen aan den Rijn, The Netherlands: Kluwer Law International, 2014.

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27

Community, Southern African Development. Protocol on Wildlife Conservation and Law Enforcement. [Gaborone]: Southern African Development Community, 1999.

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28

Small, Stephen J. The federal tax law of conservation easements. 2nd ed. Alexandria, Va: Land Trust Alliance, 1990.

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29

Ka law kyntang: Law lyngdoh mawphlang bad ka law adong lum swer swer sirdarship hima sohra. 3rd ed. Shillong: Deofavente, 2009.

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30

Dale, Goble, ed. Wildlife law: A primer. Washington: Island Press, 2008.

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31

Creighton, Millie R. Women in the Japanese department store industry: Capturing the momentum of the equal employment opportunity law. [East Lansing, Mich.]: Michigan State University, 1989.

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32

Parliament, Scotland. Nature Conservation (Scotland) Act 2004. Edinburgh: The Stationery Office, 2004.

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33

Parliament, Scotland. Salmon Conservation (Scotland) Act 2001. Edinburgh: Stationery Office, 2002.

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34

Wang, Xi. Environmental law in China. Alphen aan den Rijn, The Netherlands: Kluwer Law International, 2012.

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35

Environmental law in Canada. Alphen aan den Rijn, The Netherlands: Kluwer Law International, 2011.

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36

Environmental law in India. Alphen aan den Rijn: Kluwer Law International, 2011.

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37

Naseem, Mohammad. Environmental law in India. Alphen aan den Rijn, The Netherlands: Kluwer Law International, 2014.

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38

Texas. Texas oil and gas conservation laws. Austin, Tex. (P.O. Drawer 12967, Capitol Station, Austin 78711-2967): Oil and Gas Division, 1989.

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39

Deruelle, Nathalie, and Jean-Philippe Uzan. Conservation laws. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0007.

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This chapter defines the conserved quantities associated with an isolated dynamical system, that is, the quantities which remain constant during the motion of the system. The law of momentum conservation follows directly from Newton’s third law. The superposition principle for forces allows Newton’s law of motion for a body Pa acted on by other bodies Pa′ in an inertial Cartesian frame S. The law of angular momentum conservation holds if the forces acting on the elements of the system depend only on the separation of the elements. Finally, the conservation of total energy requires in addition that the forces be derivable from a potential.
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40

Deruelle, Nathalie, and Jean-Philippe Uzan. The Maxwell equations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0030.

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This chapter presents Maxwell equations determining the electromagnetic field created by an ensemble of charges. It also derives these equations from the variational principle. The chapter studies the equation’s invariances: gauge invariance and invariance under Poincaré transformations. These allow us to derive the conservation laws for the total charge of the system and also for the system energy, momentum, and angular momentum. To begin, the chapter introduces the first group of Maxwell equations: Gauss’s law of magnetism, and Faraday’s law of induction. It then discusses current and charge conservation, a second set of Maxwell equations, and finally the field–energy momentum tensor.
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41

Deruelle, Nathalie, and Jean-Philippe Uzan. Rotating systems. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0025.

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This chapter continues the discussion of the laws of relativistic dynamics for systems of point particles, beginning with the law of angular momentum conservation in collisions. It considers an ensemble of free particles each characterized by its (constant) momentum pa. The total momentum p = Σ‎apa does not depend on the inertial frame used, but the angular momentum will depend on the frame, because its definition involves radius vectors between an event reference point and points qa on the particle world lines. Furthermore, these are chosen to be simultaneous in a given frame. The chapter also formulates the equations of motion for particles possessing an internal rotation or ‘spin’.
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42

Isett, Philip. The Divergence Equation. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691174822.003.0006.

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This chapter introduces the divergence equation. A key ingredient in the proof of the Main Lemma for continuous solutions is to find special solutions to this divergence equation, which includes a smooth function and a smooth vector field on ³, plus an unknown, symmetric (2, 0) tensor. The chapter presents a proposition that takes into account a condition relating to the conservation of momentum as well as a condition that reflects Newton's law, which states that every action must have an equal and opposite reaction. This axiom, in turn, implies the conservation of momentum in classical mechanics. In view of Noether's theorem, the constant vector fields which act as Galilean symmetries of the Euler equation are responsible for the conservation of momentum. The chapter shows proof that all solutions to the Euler-Reynolds equations conserve momentum.
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43

Kachelriess, Michael. Global symmetries and Noether’s theorem. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.003.0005.

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Noethers theorem shows that continuous global symmetries lead classically to conservation laws. Such symmetries can be divided into spacetime and internal symmetries. The invariance of Minkowski space-time under global Poincaré transformations leads to the conservation of the four-momentum and the total angular momentum. Examples for conserved charges due to internal symmetries are electric and colour charge. The vacuum expectation value of a Noether current is shown to beconserved in a quantum field theory if the symmetry transformation keeps the path-integral measure invariant.
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44

Deruelle, Nathalie, and Jean-Philippe Uzan. Dynamics of a point particle. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0024.

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This chapter attributes an inertial ‘mass–energy’ to particles. It also distinguishes between the action of an external field and of long-range and short-range internal forces, which is useful for establishing the laws of dynamics of an interacting body—that is, the equations determining its world line. The chapter also presents the 4-momentum conservation law for massive particles and light particles in inertial reference frames. It then gives some examples which illustrate the role played by this law in collisions. Finally, the chapter illustrates the conservation law by the Compton experiment, that is, the collision of a light corpuscle with a particle, and the concept of the quantum of action that can be derived from it.
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45

Mann, Peter. Symmetries & Lagrangian-Hamilton-Jacobi Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0011.

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This chapter discusses conservation laws in Lagrangian mechanics and shows that certain conservation laws are just particular examples of a more fundamental theory called ‘Noether’s theorem’, after Amalie ‘Emmy’ Noether, who first discovered it in 1918. The chapter starts off by discussing Noether’s theorem and symmetry transformations in Lagrangian mechanics in detail. It then moves on to gauge theory and surface terms in the action before isotropic symmetries. continuous symmetry, conserved quantities, conjugate momentum, cyclic coordinates, Hessian condition and discrete symmetries are discussed. The chapter also covers Lie algebra, spontaneous symmetry breaking, reduction theorems, non-dynamical symmetries and Ostrogradsky momentum. The final section of the chapter details Carathéodory–Hamilton–Jacobi theory in the Lagrangian setting, to derive the Hamilton–Jacobi equation on the tangent bundle!
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46

Momentum. Hachette, 2011.

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47

Mann, Peter. Hamilton’s Equations & Routhian Reduction. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0016.

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In this chapter, the Poisson bracket and angular momentum are investigated and first integrals are used to develop conservation laws as a canonical Noether’s theorem. The Poisson bracket was developed by the French mathematician Poisson in the late nineteenth century and it is a reformulation, or at least a tidying up, of Hamilton’s equations into one neat package. The Poisson bracket of a quantity with the Hamiltonian describes the time evolution of that quantity as one moves along a curve in phase space. The Lie algebra structure of symmetries in mechanics is highlighted using this formulation. The classical propagator is derived using the Poisson bracket.
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48

Blundell, Katherine. 7. Eating more and growing bigger. Oxford University Press, 2015. http://dx.doi.org/10.1093/actrade/9780199602667.003.0007.

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How do black holes grow? There is a lot of matter orbiting around a black hole and this matter can interact with itself, but must observe the laws of gravity and conservation of angular momentum. ‘Eating more and growing bigger’ explains that the accreting matter is very often in the form of a disc. It goes on to discuss what accretion discs look like, how hot they are, and how you measure how fast a black hole is spinning. How close matter is able to orbit before being swallowed by the black hole tells you how fast the black hole itself must be spinning.
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49

Brown, Joseph M. The conservation of linear momentum (Ten minutes for physics). Basic Research Press, 2001.

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50

Connell, Tula A. Collective Action and the Threat to Free Enterprise. University of Illinois Press, 2017. http://dx.doi.org/10.5406/illinois/9780252039904.003.0007.

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This chapter underlines the role of anti-unionism in challenges to the New Deal consensus, further highlighting the influence of economic conservatism in the immediate postwar years. New Deal-era laws increased workers' ability to form unions and set a minimum wage for many workers, fueling an economic prosperity that by the 1950s had created the century's narrowest income gap between the wealthy and middle-income workers. Corporate and conservative interests had challenged these laws from the start, and many emerged from World War II motivated by a renewed determination to slow labor's growing momentum and return workplace economics to the private sector.
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