Week 1 (Aug. 14, 15)

Welcome to General College Physics at Wisconsin Lutheran High School! The sidebar (to the right) has some basic information about this course, such as the Professor's contact information and the textbook we will be using. You might wish to take a look at that first.

Reading: PSE Chap 1, Physics and Measurement
Reading: Chapter 1 of Pocket guide to accompany Physics for Scientists and Engineers (PSE) by the end of the week.

Topics: units, dimensions, and dimensional analysis

Week 1 Exercises: Below are some homework exercises involving the concepts of dimensional analysis. You will see problems like these on the quiz next week. You may (and perhaps should!) work on the homework exercises with a friend or accomplice, but you must write up and submit your own solutions electronically via the online course management system (OnCampus). To receive full credit, your solutions must be submitted by the due date. Late work will receive partial credit.

  1. Dimensions and units: Write down both the dimensions, and the MKS units of the following quantities: speed, acceleration, density, and force.
  2. Wave speed dimensions: The speed of a wave traveling on the surface of the ocean depends only on (i) its wavelength and (ii) the acceleration of gravity. Using the technique of dimensional analysis, find a mathematical formula for the speed of the wave. Answer: v is proportional to sqrt(g * lambda).
  3. Kinetic energy dimensions: When an object is moving, it is said to have "kinetic energy". The kinetic energy, K, depends on two things: the mass of the object and its speed, v. Use the technique of dimensional analysis to find how K depends on m and v. Afterwards, look up the formula for kinetic energy; were you right?
  4. Hydrostatic pressure dimensions: When a submarine descends into the depths of the ocean, the pressure on the hull increases. The pressure is the force per unit area of the water pushing inward on the surface of the submarine. Use the technique of dimensional analysis to find how the pressure, P, depends on three quantities: the depth, y, the density of the water, d, and the acceleration of gravity, g. That is: find P = P(y,d,g). Look up the formula for hydrostatic pressure; were you right? Answer: P is proportional to the product of density, depth, and the acceleration of gravity.

Quiz: not yet (it's the first week!)

Classroom problems: As a reminder, these are some of the problems we worked out in class…
  1. Dimensions and units: the universal gravitational constant, G, that appears in Newtons' universal law of gravitation, and energy, E, that appears in Einstein's formula E=mc^2.
  2. Dimensional analysis: determine how the frequency of a stretched vibrating string depends on its length, tension, and mass per unit length.



General College Physics