38. If a force F is derivable from a potential function V(r), where r is the
distance fromt he origin of the coordinate system it follows that:
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In classical mechanics, the central-force problem is to determine the motion of a particle in a single central potential field. A central force is a force (possibly negative) that points from the particle directly towards 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.
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grad v =0
curl F =0
(Del)2V=0
DivF =0
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