Mass, Energy and Momentum in Special
Relativity
October 14, 2016
Invariant Mass
Consider a single spring-loaded object that flies apart into two
pieces, each of mass m (like the classical example you considered
in Lecture 6, Exercise 1). What is the mass
Lecture 4
Lorentz Transformations
1
Lorentz Transformations
We have now seen how to find the coordinates of arbitrary events in arbitrary frames of
reference using spacetime diagrams. These are great for visualizing, but if you want a number
or a formula
due Thur 9/29/16, 8pm
Problem Set 0
1
Before you begin, please read the two handouts in Canvas on Problem Set Guidelines
and Vectors and Components, and Sections 1.21.6 in K&K (the textbook), to reinforce
the notation we will be using this quarter. If you
Lecture 5
Spacetime Interval & Causality
1
Causality
Causally connected events are those that must occur in a certain order in time because
one causes the other. For example, if someone sitting on a couch presses a button on a
remote control (RC) to chang
Lecture 3
Spacetime Diagrams
1
An Aside on some Terminology
An event is a point in spacetimein other words, the position and time of something
that happens. (Due in part to time dilation and length contraction, different observers
may disagree about the
Lecture 1
Postulates of Special Relativity, Clocks
1
The theory of special relativity, first described by Einstein in 1905, has a remarkable
history and developed in a very interesting historical and scientific context. We will defer
that discussion for n
due Tues 10/4/16, 8pm
Problem Set 1
1
Short-form problems
Problem 1. Size of a computer. Note: We have already seen a few ways in which relativistic
physics appears to break down as objects approach the speed of light. However, we will eventually
make a r
due Tues 10/11/16, 8pm
Problem Set 2
1
Short-form problems
Problem 1. Plotting Worldlines: Sketch spacetime diagrams with worldlines for the following
situations:
(a) Object traveling at c/2 in the
x direction
(b) Starship Enterprise traveling at warp 3 (
Lecture 2
Length Contraction, Seeing vs. Observing
1
Length Contraction
In Activity 1 (Longitudinal Light Clock) you showed that the lengths of objects are shortened along the direction of motion, but not perpendicular to the motion. This result followed
due Tues 10/18/16, 5pm
Problem Set 3
1
Short-form problems
Problem 1. Velocity transformation from four-vectors. Re-derive the transformation rule for
ordinary velocity (relativistic velocity addition, although it is sufficient to derive the subtraction
r
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