W is a subset of R2 consisting of vectors of

Classical Mechanics 0
In Chapter 4 (at the end of Section 4.7) I claimed that, for a system with one degree of freedom, positions of stable equilibrium "normally" correspond to minima of the potential energy U (q). Using Lagrangian mechanics, you can now prove this claim. (a) Consider a one-degree system of N particles wi

Classical Mechanics 0
Imagine that this world is perfectly rigid, uniform, and spherical and is spinning about its usual axis at its usual rate. A huge mountain of mass 10-8 earth masses is now added at colatitude 60, causing the earth to begin the free precession described in Section 10.8. How long will it take the North

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics 3
Problem 62P Communications satellites are placed in a circular orbit where they stay directly over a fixed point on the equator as the earth rotates. These are called geosynchronous orbits. The radius of the earth is 6.37 106 m, and the altitude of a geosynchronous orbit is 3.58 107 m (? 22,000 m

Fundamentals of Physics Extended 9
Two types of barrel units were in use in the 1920s in the United States. The apple barrel had a legally set volume of 7056 cubic inches; the cranberry barrel, 5826 cubic inches. If a merchant sells 20 cranberry barrels of goods to a customer who thinks he is receiving apple barrels, what is the discr

Biology 8
Which process is most directly driven by light energy? a. creation of a pH gradient by pumping protons across the thylakoid membrane b. carbon fixation in the stroma Co reduction of NADP- molecules d. removal of electrons from chlorophyll molecules e. ATP synthesis

Statistics for Engineers and Scientists 4
In an experiment involving the breaking strength of a certain type of thread used in personal flotation devices, one batch of thread was subjected to a heat treatment for 60 seconds and another batch was treated for 120 seconds. The breaking strengths (in N) of ten threads in each batch were measur

Biology: The Dynamic Science 5
How do the concepts of gradualism and uniformitarianism in geology undermine the belief that earth is only about 6,000 years old?

Biochemistry 9
Is it good (or bad) that enzymes can be reversibly inhibited? Why?