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5.9 Exercise 49

Avg difficulty 2.5

Show that the relativistic form of Newton’s second law is (a) F=mdudt1(1−u2/c2)3/2;F = m \frac{d u}{d t} \frac{1}{\left(1 - u^{2} / c^{2}\right)^{3 / 2}} ; (b) Find the force needed to accelerate a mass of 1 kg by 1 m/s2\text{m}/\text{s}^{2} when it is traveling at a velocity of c/2.

OpenStax University Physics Volume 3, 5.9 Relativistic Energy, exercise 49

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Adapted from University Physics Volume 3 © 2016 Rice University. Licensed under CC BY 4.0. Source: University Physics Volume 3. Imported at revision db44eb9.