**Physics 320 Lab
**

Special Relativity

Introduction to MathCAD

**MathCAD Topics:
**

Simple calculations

Text regions

Pre-defined functions

Defining a function

Plotting a function

Defining range variables

LR-TB ordering

Regions (view, copy, move, align)

Toolbars

Editing

Importing data

**Exercise 1.** Graph g versus (v/c).

**Exercise 2.** Graph L/L_{0}
versus (v/c) for a meter stick. For what fraction of the speed of light does the
moving meter stick appear to shrink to 0.5m according to a stationary observer?

**Exercise 3. ** Graph T/T_{0}
versus (v/c) for a second. For what fraction of the speed of light does a one second
time interval according to a moving observer appear to a stationary observer to be a
minute?

**More MathCAD:**

Symbolic computations (integrals, derivatives, algebra)

**
Exercise 4. ** Show that the spacetime interval, **D****s ^{2} = x^{2}
+ y^{2} + z^{2} - (ct)^{2}**, is invariant under a Lorentz
transformation.

**Complete the Special
Relativity Physlet Exercises .**

You may want to refer to the chapter on Space-Time Diagrams at the
following website.

http://www.physicsguy.com/ftl/html/FTL_part1.html
.