Handout Six: Line Integrals
نویسنده
چکیده
But this is not real life! Suppose next that we are still moving in a straight line but the force is variable: indeed, the typical example of this is that of a spring: suppose we have a mass M on a spring, and we stretch the mass a distance of x units from its equilibrium position. The spring will pull back in the opposite direction, and the early British scientist Robert Hooke formulated a simple rule describing the force: it is simply proportional to the distance: F (x) = −kx, where the k is called the spring constant since it emphasizes the strength of the spring. Now the definition of work you would learn in a freshman physics class is that
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