2. The future circular collider (FCC) is proposed to collide protons with energy 50 TeV head on. There are concerns that being the highest ever energy collider exotic heavy stable particles could be produced, that interact with nucleons in a chain reaction that could eventually lead to the destruction of the Earth. Scientists note, however, that high energy protons from interstellar space hit bodies such at the Earth and Moon on a regular basis and such collisions could be used to test whether such a scenario could be ruled out. [Radius of the Earth = 6,400 km. Age of Earth 4.5 x 109 years. Proton mass is 0.938 GeV/c². Total number of proton-proton collisions expected at the FCC is 3.5 × 10¹8] i. Give a reason why the FCC will collide protons rather neutrons. ii. Derive an expression for the energy, E, of a proton with mass m, incident on a stationary proton in terms of the proton energy E' in the centre of mass system. Hence show the collision of protons at the FCC is equivalent to a proton with energy 5.3 x 106 TeV colliding with a stationary proton. iii. Explain why the FCC accelerates two proton beams to be collided head on rather than a single proton beam that collides with a stationary proton.
2. The future circular collider (FCC) is proposed to collide protons with energy 50 TeV head on. There are concerns that being the highest ever energy collider exotic heavy stable particles could be produced, that interact with nucleons in a chain reaction that could eventually lead to the destruction of the Earth. Scientists note, however, that high energy protons from interstellar space hit bodies such at the Earth and Moon on a regular basis and such collisions could be used to test whether such a scenario could be ruled out. [Radius of the Earth = 6,400 km. Age of Earth 4.5 x 109 years. Proton mass is 0.938 GeV/c². Total number of proton-proton collisions expected at the FCC is 3.5 × 10¹8] i. Give a reason why the FCC will collide protons rather neutrons. ii. Derive an expression for the energy, E, of a proton with mass m, incident on a stationary proton in terms of the proton energy E' in the centre of mass system. Hence show the collision of protons at the FCC is equivalent to a proton with energy 5.3 x 106 TeV colliding with a stationary proton. iii. Explain why the FCC accelerates two proton beams to be collided head on rather than a single proton beam that collides with a stationary proton.
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
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![2. The future circular collider (FCC) is proposed to collide protons with energy 50 TeV
head on. There are concerns that being the highest ever energy collider exotic heavy
stable particles could be produced, that interact with nucleons in a chain reaction that
could eventually lead to the destruction of the Earth. Scientists note, however, that
high energy protons from interstellar space hit bodies such at the Earth and Moon on
a regular basis and such collisions could be used to test whether such a scenario could
be ruled out.
[Radius of the Earth 6,400 km. Age of Earth 4.5 x 109 years. Proton mass is 0.938
GeV/c². Total number of proton-proton collisions expected at the FCC is 3.5 x 10¹8]
=
i. Give a reason why the FCC will collide protons rather neutrons.
ii. Derive an expression for the energy, E, of a proton with mass m, incident on a
stationary proton in terms of the proton energy E' in the centre of mass system.
Hence show the collision of protons at the FCC is equivalent to a proton with
energy 5.3 × 106 TeV colliding with a stationary proton.
iii. Explain why the FCC accelerates two proton beams to be collided head on rather
than a single proton beam that collides with a stationary proton.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa94ef811-7aeb-45cc-a8c4-872250660697%2Fd664532a-cecf-4d1a-96f5-fe5366f9c6a7%2Flbzcyf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. The future circular collider (FCC) is proposed to collide protons with energy 50 TeV
head on. There are concerns that being the highest ever energy collider exotic heavy
stable particles could be produced, that interact with nucleons in a chain reaction that
could eventually lead to the destruction of the Earth. Scientists note, however, that
high energy protons from interstellar space hit bodies such at the Earth and Moon on
a regular basis and such collisions could be used to test whether such a scenario could
be ruled out.
[Radius of the Earth 6,400 km. Age of Earth 4.5 x 109 years. Proton mass is 0.938
GeV/c². Total number of proton-proton collisions expected at the FCC is 3.5 x 10¹8]
=
i. Give a reason why the FCC will collide protons rather neutrons.
ii. Derive an expression for the energy, E, of a proton with mass m, incident on a
stationary proton in terms of the proton energy E' in the centre of mass system.
Hence show the collision of protons at the FCC is equivalent to a proton with
energy 5.3 × 106 TeV colliding with a stationary proton.
iii. Explain why the FCC accelerates two proton beams to be collided head on rather
than a single proton beam that collides with a stationary proton.
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