- 2 In Special Relativity Einstein S Version Of Newton S 2nd Law Is Ma Fnet V212 C Dv Where A And C Is The Speed Of 1 (212.98 KiB) Viewed 51 times
2) In special relativity, Einstein's version of Newton's 2nd Law is, ma FNET = v212 C dv Where a = and c is the speed of
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2) In special relativity, Einstein's version of Newton's 2nd Law is, ma FNET = v212 C dv Where a = and c is the speed of
2) In special relativity, Einstein's version of Newton's 2nd Law is, ma FNET = v212 C dv Where a = and c is the speed of light. If v « c, then this equation dt reduces to the familiar nonrelativistic expression FNET = ma. a) Suppose a constant force, F, acts on an object with mass, m. Assume the object starts from rest in deep space, so that no other forces act on it. Find the expression v(t), the speed as a function of time, using the nonrelativistic 2nd Law equation. (2 points) b) Find v(t) using Einstein's version. (7 points) 12 Hint: When integrating, use the substitution: = sinº c) Show that the expression for (b) tends to c as t → 00. (1 point)
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