Physics 105 Problem Set 4
Due: THURSDAY, October 11, 2007, by 4:30 pm in 208 Jadwin.


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.

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):

  • 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:

    1. K&K 3.1
    2. K&K 3.4
    3. K&K 3.11
    4. K&K 4.23
    5. K&K 4.29 (Hint: compute v(x))


    6. 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: