Physics 105 Problem Set 4
Due: THURSDAY, October 11, 2007, by 4:30 pm in 208 Jadwin.
Review:
If you have not already done so, please review the sections of
Kleppner and Kolenkow listed below. Those following ``especially''
are sections where we think the K&K treatment is a notable addition to
the 103 material.
- K&K 1.1-1.8; especially example 1.8. Note 1.1 is worth reviewing as well.
- K&K all of Chapter 2; especially 2.1, 2.2, and the examples
in sections 2.4 and 2.5.
- K&K 4.1-4.9, 4.11-4.13; especially 4.4, 4.8, 4.9.
Note: K&K makes early reference to several topics that we won't cover
till later, notably Newtonian gravitation and the differential equation
for the harmonic oscillator (mass on a spring). Until we do cover them,
when these come up in K&K's examples, don't worry about them.
Reading for this week (by Monday):
- K&K all of Chapter 3. (Don't worry about example 3.8.)
- K&K 4.14
It is a good idea to warm up by doing all the
problems in 103 Learning Guide 4 after you've done the required reading.
Problems to turn in:
- K&K 3.1
- K&K 3.4
- K&K 3.11
- K&K 4.23
- K&K 4.29 (Hint: compute v(x))
- The slingshot maneuver. A spacecraft of mass m
approaches
a planet of mass M (M>>m, of course) with velocity v,
antiparallel to the planet's velocity vp.
The spacecraft comes pretty close to
the planet, and it is observed that after the encounter it is moving at
90 degrees to its original line of motion with a new velocity
vf. What is the energy gained by the spacecraft
from the planet? Use
M>>m to keep your expressions simple and ignore the Sun's
gravitational influence.
Links to sites related to the slingshot problem:
Galileo to Jupiter: