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Sliding friction is useful for starting fires.
a. If you press a wooden peg against another piece of wood and spin the peg rapidly, it can become hot enough to ignite. The peg produces thermal energy no matter how fast it spins, so why is it important that it spin rapidly?
b. If you strike a piece of flint against a piece of steel, you can shave a red-hot spark off the steel. However, moments later the surface of the steel itself barely feels warm. What happens to the thermal energy in that surface?
c. When you rub a match on a matchbook, it suddenly bursts into flames. The principal source of heat here is a chemical reaction in the match head. What purpose does the initial thermal energy serve in starting this reaction?
d. what is a safety match? How does it work?
e. You might see a "cowboy match" in a movie light a match by rubbing it on the heel of their boot. How does a match light that way?
Let D be a Euclidean ring, F its field of quotients. Prove the Gauss lemma for polynomials with coefficients in D factored as product of polynomials with coefficients in F.
Evaluate the partial derivative ∂/∂θ θ sinΦ cos 2θ and Determine the gradient
second order differential equation
In the class, there are 12 freshmen, of whom 8 are males and 15 sophomores, of whom 5 are females. If one student is selected at random, what is the probability of selecting a freshman or a female?
sketch the fourier series of fx on the given interval.for the following functions sketch the fourier series of fx on
since its removal from the banned substances list in 2004 by the world anti-doping agency caffeine has been used by
in a left-skewed distribution, where is the median in regard to the mean? Is it to the left of the mean or to the right of the mean?
Of the first 90 customers, 44 selected chicken, 23 selected roast beef, 13 select steak, and 10 selected fish. Should the manager revise his estimates? Use = 0.01.
the eccentricity e of an ellipse is defined as the number ca where a and c are the numbers in the defining equation.
In a bag are three red marbles and three green marbles. I
Evaluate the velocity vector at a particular point, vector projection of acceleration and the length of the curve between two points.
Factoring with Two Variables Factor each polynomial.
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