A 0.100 μg speck of dust is accelerated from rest to a speed of 0.900c by a constant 1.00 × 106N force. (a) If the nonrelativistic form of Newton’s second law ΣF = ma) is used, how far does the object travel to reach its final speed? (b) Now use the correct relativistic expression for the work done by a force. Equation 27.19, to determine how far the object travels before reaching its final speed. (c) Which distance is greater? Why?
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