10.

(a) We solve Eq. 38-13 for v and then plug in:

v

=

c

1

−



L

L

0



2

=

(299792458 m/s)

1

−



1

2



2

=

259627884 m/s

which may also be expressed as v = 0.8660254c.

(b) The Lorentz factor in this case is γ =

1

√

1

−(v/c)

2

= 2 “exactly.”

Document Outline

• Main Menu
• Chapter 1 Measurement
• Chapter 2 Motion Along a Straight Line
• Chapter 3 Vectors
• Chapter 4 Motion in Two and Three Dimensions
• Chapter 5 Force and Motion I
• Chapter 6 Force and Motion II
• Chapter 7 Kinetic Energy and Work
• Chapter 8 Potential Energy and Conservation of Energy
• Chapter 9 Systems of Particles
• Chapter 10 Collisions
• Chapter 11 Rotation
• Chapter 12 Rolling, Torque, and Angular Momentum
• Chapter 13 Equilibrium and Elasticity
• Chapter 14 Gravitation
• Chapter 15 Fluids
• Chapter 16 Oscillations
• Chapter 17 Waves—I
• Chapter 18 Waves—II
• Chapter 19 Temperature, Heat, and the First Law of Thermodynamics
• Chapter 20 The Kinetic Theory of Gases
• Chapter 21 Entropy and the Second Law of Thermodynamics
• Chapter 22 Electric Charge
• Chapter 23 Electric Fields
• Chapter 24 Gauss’ Law
• Chapter 25 Electric Potential
• Chapter 26 Capacitance
• Chapter 27 Current and Resistance
• Chapter 28 Circuits
• Chapter 29 Magnetic Fields
• Chapter 30 Magnetic Fields Due to Currents
• Chapter 31 Induction and Inductance
• Chapter 32 Magnetism of Matter: Maxwell’s Equation
• Chapter 33 Electromagnetic Oscillations and Alternating Current
• Chapter 34 Electromagnetic Waves
• Chapter 35 Images
• Chapter 36 Interference
• Chapter 37 Diffraction
• Chapter 38 Special Theory of Relativity
  • 38.1 - 38.10
    • 38.1
    • 38.2
    • 38.3
    • 38.4
    • 38.5
    • 38.6
    • 38.7
    • 38.8
    • 38.9
    • 38.10
  • 38.11 - 38.20
    • 38.11
    • 38.12
    • 38.13
    • 38.14
    • 38.15
    • 38.16
    • 38.17
    • 38.18
    • 38.19
    • 38.20
  • 38.21 - 38.30
    • 38.21
    • 38.22
    • 38.23
    • 38.24
    • 38.25
    • 38.26
    • 38.27
    • 38.28
    • 38.29
    • 38.30
  • 38.31 - 38.40
    • 38.31
    • 38.32
    • 38.33
    • 38.34
    • 38.35
    • 38.36
    • 38.37
    • 38.38
    • 38.39
    • 38.40
  • 38.41 - 38.50
    • 38.41
    • 38.42
    • 38.43
    • 38.44
    • 38.45
    • 38.46
    • 38.47
    • 38.48
    • 38.49
    • 38.50
  • 38.51 - 38.60
    • 38.51
    • 38.52
    • 38.53
    • 38.54
    • 38.55
    • 38.56
    • 38.57
    • 38.58
    • 38.59
    • 38.60
  • 38.61 - 38.70
    • 38.61
    • 38.62
    • 38.63
    • 38.64
    • 38.65
    • 38.66
    • 38.67
    • 38.68
    • 38.69
    • 38.70
  • 38.71 - 38.81
    • 38.71
    • 38.72
    • 38.73
    • 38.74
    • 38.75
    • 38.76
    • 38.77
    • 38.78
    • 38.79
    • 38.80
    • 38.81
• Chapter 39 Photons and Matter Waves
• Chapter 40 More About Matter Waves
• Chapter 41 All About Atoms
• Chapter 42 Conduction of Electricity in Solids
• Chapter 43 Nuclear Physics
• Chapter 44 Energy from the Nucleus
• Chapter 45 Quarks, Leptons, and the Big Bang