Commons

ContentsMomentum compared to kineticenergy, 47.—Force, 49.—Motion in twodimensions, 51.2.4 Newton’s Triumph . . . . . . . . 552.5 Work . . . . . . . . . . . . . 59Problems . . . . . . . . . . . . . 611 Conservation of Mass andEnergy1.1 Symmetry and Conservation Laws . 71.2 Conservation of Mass . . . . . . 91.3 Review of the Metric System andConversions . . . . . . . . . . . . 11The metric system, 11.—Scientificnotation, 12.—Conversions, 13.1.4 Conservation of Energy . . . . . 15Energy, 15.—The principle of inertia, 16.—Kinetic and gravitational energy, 20.—Energy in general, 21.1.5 Newton’s Law of Gravity . . . . . 271.6 Noether’s Theorem for Energy. . . 291.7 Equivalence of Mass and Energy . 30Mass-energy, 30.—The correspondenceprinciple, 33.Problems . . . . . . . . . . . . . 353 Conservation of AngularMomentum3.1 Angular Momentum . . . . . . . 633.2 Torque . . . . . . . . . . . . 68Torque distinguished from force, 69.3.3 Noether’s Theorem for AngularMomentum . . . . . . . . . . . . 70Problems . . . . . . . . . . . . . 712 Conservation of Momentum2.1 Translation Symmetry . . . . . . 402.2 The Principle of Inertia . . . . . . 41Symmetry and inertia, 41.2.3 Momentum. . . . . . . . . . . 42Conservation of momentum, 42.—4 Relativity4.1 The Principle of Relativity. . . . . 744.2 Distortion of Time and Space . . . 77Time, 77.—Space, 79.—No simultaneity,80.—Applications, 81.4.3 Dynamics . . . . . . . . . . . 86Combination of velocities, 86.—Momentum, 87.—Equivalence of mass andenergy, 90.Problems . . . . . . . . . . . . . 925 Electricity5.1 The Quest for the Atomic Force . . 964