Ch 34: Special RelativityWorksheetSee all chapters
All Chapters
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

Concept #1: Lorentz Transformations of Position

Practice: In a lab frame, S, an object crosses a distance of 15 m in 10 s. In an initially aligned frame S', moving at 1000 km/s in the x-direction relative to S, how far a distance does the object have to travel, and in what time does it travel the distance?

Concept #2: Lorentz Transformations of Velocity

Practice: In a particle accelerator, a neutron is traveling at a speed of 0.7 c, as measured by you in a laboratory. This neutron decays (becoming a proton), ejecting an electron. If you measure the electron’s speed to be 0.5 c, traveling in the same direction as the neutron, what was the relative speed between the electron and neutron when the neutron decayed? Was the electron ejected forward or backwards relative to the neutron’s motion, as “seen” by the neutron?

Additional Problems
A spacecraft passes an Earth-bound osberver at a speed of 0.5 c. If the ship then fires a missile at 0.4 c relative to the captain of the ship, what speed does the Earth-bound observer measure the missile at?
A distant galaxy is moving away from the Milky Way at a speed of 0.8 c. If the galaxy ejects some material at a velocity of 0.9 c towards the Earth, measured by astronomers, how fast is the material moving relative to the distant galaxy?
In a rest frame, a mass m1 moves with a speed of 0.2c towards a mass m2, at rest. In the center-of-mass frame, both mass move towards each other with the same speed. What must the speed of the center-of-mass frame be, relative to the rest frame, in order to achieve this?
A high-speed train is traveling at a constant velocity along a straight-line track from Capital City to Shelbyville. According to an observer at rest on the ground, the clocks at the railroad stations in Capital City and Shelbyville both strike noon at the same time. According to a passenger on the train, when the Capital City clock strikes noon, what time is it in Shelbyville?A. noonB. before noonC. acer noonD. The answer depends on the speed of the train.E. The answer depends on the speed of the train and the distance between Capital City and Shelbyville.
Santiago stands on the ground as Miriam flies directly toward him in her spaceship at 0.5c. She fires a small rocket directly toward Santiago that flies at a speed of 0.8c relative to her spaceship. According to Santiago, the speed of the rocket isA. 1.3cB. faster than c but slower than 1.3cC. cD. faster than 0.8c but slower than cE. 0.8c