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Hooke's Law. When an elastic object - such as a spring - is stretched, the increased length is called its extension. The extension of an elastic object is directly proportional to the force applied to it: F = k Ã e. F is the force in newtons, N. k is the 'spring constant' in newtons per metre, N/m. e is the extension in metres, m.
The law of cosines generalizes the Pythagorean theorem, which holds only for right triangles: if the angle Î³ is a right angle (of measure 90Â°, or Ï2 radians), then cos Î³ = 0, and thus the law of cosines reduces to the Pythagorean theorem: