Einstein's velocity addition rule. The transformations between two inertial systems S and S are x = y (x – vt) and E = y (t – vx /c2). v is the relative speed of the system Š with respect to the system S. Find the relation between the two velocities. (ū = dž/ di and u = dx /dt ).

Einstein's velocity addition rule. The transformations between two inertial systems S and S are x = y (x – vt) and E = y (t – vx /c2). v is the relative speed of the system Š with respect to the system S. Find the relation between the two velocities. (ū = dž/ di and u = dx /dt ).

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter5: Relativity

Section: Chapter Questions

Problem 56P: (a) What is the momentum of a 2000-kg satellite orbiting at 4.00 km/s? (b) Find the ratio of this...

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Concept explainers

Relativistic Energy and Momentum

According to classical physics, time flow is the same for every observer. But according to einstein's theory, time flow is different for different observers. The idea that time flow is not the same for all may sound strange because we may not experience this effect in everyday life. This effect is only observed when an object moves with some velocity comparable to the velocity of light. This velocity is termed relativistic velocity.

Question

Einstein's velocity addition rule. The transformations between two inertial systems S
and S are x = y (x – vt) and E = y (t – vx /c2). v is the relative speed of the system
Š with respect to the system S. Find the relation between the two velocities.
(ū = dž/ di and u = dx /dt ).

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