Physicists have observed that Einsteins theory of special relativity reduces to Newtonian mechanics in the limit as

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Physicists have observed that Einstein’s theory of special relativity reduces to Newtonian mechanics in the limit as c → ∞, where c is the speed of light. This is illustrated by a stone tossed up vertically from ground level so that it returns to Earth 1 s later. Using Newton’s Laws, we find that the stone’s maximum height is h = g/8 m (g = 9.8 m/s2). According to special relativity, the stone’s mass depends on its velocity divided by c, and the maximum height is

Prove that lim h(c) = g/8. C-8 h(c) = c c2/g + 1/4 = c/g

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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