Ch 34: Special RelativitySee all chapters
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Ch 01: Units & Vectors
Ch 02: 1D Motion (Kinematics)
Ch 03: 2D Motion (Projectile Motion)
Ch 04: Intro to Forces (Dynamics)
Ch 05: Friction, Inclines, Systems
Ch 06: Centripetal Forces & Gravitation
Ch 07: Work & Energy
Ch 08: Conservation of Energy
Ch 09: Momentum & Impulse
Ch 10: Rotational Kinematics
Ch 11: Rotational Inertia & Energy
Ch 12: Torque & Rotational Dynamics
Ch 13: Rotational Equilibrium
Ch 14: Angular Momentum
Ch 15: Periodic Motion (NEW)
Ch 15: Periodic Motion (Oscillations)
Ch 16: Waves & Sound
Ch 17: Fluid Mechanics
Ch 18: Heat and Temperature
Ch 19: Kinetic Theory of Ideal Gasses
Ch 20: The First Law of Thermodynamics
Ch 21: The Second Law of Thermodynamics
Ch 22: Electric Force & Field; Gauss' Law
Ch 23: Electric Potential
Ch 24: Capacitors & Dielectrics
Ch 25: Resistors & DC Circuits
Ch 26: Magnetic Fields and Forces
Ch 27: Sources of Magnetic Field
Ch 28: Induction and Inductance
Ch 29: Alternating Current
Ch 30: Electromagnetic Waves
Ch 31: Geometric Optics
Ch 32: Wave Optics
Ch 34: Special Relativity
Ch 35: Particle-Wave Duality
Ch 36: Atomic Structure
Ch 37: Nuclear Physics
Ch 38: Quantum Mechanics

Consequences of Relativity

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Solution: Muons are commonly produced in the upper atmosphere due to collisions of cosmic rays with the atoms in the atmosphere. The muons produced commonly travel downwards at speeds up to 0.99 c. If the half life of the muon, in the rest frame, is 2.2 μs, (a) How long is the muon's half life, according to an observer at rest on the Earth's surface (b) How far can the muon travel, according to an observer at rest on the Earth's surface?

Problem

Muons are commonly produced in the upper atmosphere due to collisions of cosmic rays with the atoms in the atmosphere. The muons produced commonly travel downwards at speeds up to 0.99 c. If the half life of the muon, in the rest frame, is 2.2 μs,

(a) How long is the muon's half life, according to an observer at rest on the Earth's surface

(b) How far can the muon travel, according to an observer at rest on the Earth's surface?