Worksheet #5  PHY102
(Spr. 2006)
Solving Equations and Diferential Equations II
Due Thursday February 16th
Last week you learned about the following functions which are among the
most important in Mathematica:
Solve  solves polynomial equations analytically
NSolve  solves polynomial equations numerically
FindRoot  solves all equations numerically
DSolve  solves di±erential equations analytically
NDSolve  solves di±erential equations numerically
Once you know what these routines do and how to use them, you have a
very powerful set of tools for solving problems in physics. However the hard
est part of physics is to set up the mathematical description of the problem,
and that you still need to do that by hand.
This worksheet is intended to
help you learn some more about setting up and solving physics problems.
Problem 1.
(i) A ball is falling vertically through a ²uid. Apart from gravity, a drag
force
F
d
acts on the ball.
The drag force opposes the motion and increases
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 Spring '08
 DUXBURY
 Physics, Force, Work, 0.1kg, 100g, 30kg

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