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(a) Suppose we have a particle accelerated from rest by the action of a force F. Assuming that Newton’s second law for a particle, F= dp/dt, is valid in relative, show that the final kinetic energy K can be written, using work – energy theorem, as K = ∫ v dp. (b) Using Eq. 20-23 for the relativistic momentum, show that carrying out integration in (a) leads to Eq. 20- 27 for the relativistic ki9netic energy.

(a) Suppose we have a particle accelerated from rest by the action of a force F. Assuming that Newton’s second law for a particle, F= dp/dt, is valid in relative, show that the final kinetic energy K can be written, using work – energy theorem, as K = ∫ v dp. (b) Using Eq. 20-23 for the relativistic momentum, show that carrying out integration in (a) leads  to Eq. 20- 27 for the relativistic ki9netic energy.

Grade:11

1 Answers

Kevin Nash
askIITians Faculty 332 Points
8 years ago
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