A deuteron, consisting of a proton and neutron and having mass 3.34 x 10-27 kg, is traveling at 0.950c relative the Earth in a linear accelerator. Calculate the deuteron's rest energy, y-factor, total energy, and kinetic energy.

A deuteron, consisting of a proton and neutron and having mass 3.34 x 10-27 kg, is traveling at 0.950c relative the Earth in a linear accelerator. Calculate the deuteron's rest energy, y-factor, total energy, and kinetic energy.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter39: Relativity

Section: Chapter Questions

Problem 39PQ: As measured in a laboratory reference frame, a linear accelerator ejects a proton with a speed of...

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The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.

Question

A deuteron, consisting of a proton and neutron and having mass 3.34 x 10-27 kg, is traveling at 0.950c relative the Earth in a linear accelerator.
Calculate the deuteron's rest energy, y-factor, total energy, and kinetic energy.
(a) rest energy (Give your answer to at least three significant figures.)
(b) y-factor
(c) total energy
(d) kinetic energy

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