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... to one another, for example a mass raised above the Earth. The SI unit of potential energy is the joule. Potential energy can be thought of as stored in a field, for example a gravitational field. The potential energy is measured by the capacity to do work if positions of objects change. For example ...
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... with two strings and two spring scales, one pulling along the x -axis and the other along the y axis (Fig. 3.3b). We find that if the x -axis scale pulls with a 4-N force and the y -axis scale pulls with a 3-N force, the box again remains stationary. Thus, these two forces have the same effect on th ...
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Classical central-force problem



In classical mechanics, the central-force problem is to determine the motion of a particle under the influence of a single central force. A central force is a force that points from the particle directly towards (or directly away from) a fixed point in space, the center, and whose magnitude only depends on the distance of the object to the center. In many important cases, the problem can be solved analytically, i.e., in terms of well-studied functions such as trigonometric functions.The solution of this problem is important to classical physics, since many naturally occurring forces are central. Examples include gravity and electromagnetism as described by Newton's law of universal gravitation and Coulomb's law, respectively. The problem is also important because some more complicated problems in classical physics (such as the two-body problem with forces along the line connecting the two bodies) can be reduced to a central-force problem. Finally, the solution to the central-force problem often makes a good initial approximation of the true motion, as in calculating the motion of the planets in the Solar System.
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