Hints for HW 6
General Advice:
The mathematical skills you need for this
problem set include algebra and what differentials are (yes, again).
It also involves differential and integral calculus and Taylor expansions.
On the physics side, you need to understand Newton's law in terms
of the force equals the change in momentum with respect to time (F=dp/dt).
Hints on specific problems:
- Problem 7-5: Understand differentials and the definitions of energy
and momentum (from our relativity class) and all should go smoothly.
- Problem 7-6: A Taylor series enters in b.
- Problem 7-8 and 7-10 Lot's of algebra, but follow the order given
in the problem. You need a Taylor series for 7-10 d, and you need only
discuss (no calculations) for 7-10 e.
- Problem 8-3
You need to know the general form of Newton's law. For part a, be sure you
know how the power relates to a force.
Also for part d, take the particle shape to be a sphere for simplicity.
Think about what density is an appropriate density to use, then look up that
number in a reference book.
Last modified August 11, 2004
Jim Freericks, Professor of Physics,
freericks at physics dot georgetown dot edu