You are investigating a newly discovered particle X that has an unknown mass M and moves with a constant but unknown speed u. In your experiments you observe collisions between particle X and different test particles with known masses m that are initially at rest. You let the particles collide head-on and stick together, and you measure the speed v of the combined-particle object. From other observations you know that in all experiments the objects move along the same straight line before and after the collision. Your data are shown in the table. Note that the masses are expressed in units of reference mass mo and the speed in units of reference speed vo.
You are investigating a newly discovered particle X that has an unknown mass M and moves with a constant but unknown speed u. In your experiments you observe collisions between particle X and different test particles with known masses m that are initially at rest. You let the particles collide head-on and stick together, and you measure the speed v of the combined-particle object. From other observations you know that in all experiments the objects move along the same straight line before and after the collision. Your data are shown in the table. Note that the masses are expressed in units of reference mass mo and the speed in units of reference speed vo.
University Physics Volume 3
17th Edition
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:William Moebs, Jeff Sanny
Chapter5: Relativity
Section: Chapter Questions
Problem 43P: In a frame at rest with respect to the billiard table, a billiard ball of mass m moving with speed v...
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Derive an expression for v. Express your answer in terms of M,m, and u.
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