. (30 points) The Higgs boson, which has rest-mass energy of 125 GeV, is produced from collisions at the Large Hadron Collider (LHC). (a) Assuming all of the LHC's energy (14 TeV, or 14- 1012 eV) goes into producing a Higgs, determine the kinetic energy of the Higgs produced. (b) Find the speed of the Higgs produced in part (a) as a fraction of the speed of light. Is the Higgs moving relativistically? talte odl (c) The Higgs has a lifetime of about 2. 10-22 seconds in its rest frame. What is the lifetime measured by researchers in the laboratory frame for a Higgs boson with the velocity you found in part (b)? (d) To produce particles such as the Higgs, the LHC accelerates bunches of protons to a speed of 0.999999991c at the time of collision. The length of the proton bunches in their rest frame is 7.5 cm. What is the length of the proton bunches measured by the ni bavol goy Jad researchers in the laboratory frame?
. (30 points) The Higgs boson, which has rest-mass energy of 125 GeV, is produced from collisions at the Large Hadron Collider (LHC). (a) Assuming all of the LHC's energy (14 TeV, or 14- 1012 eV) goes into producing a Higgs, determine the kinetic energy of the Higgs produced. (b) Find the speed of the Higgs produced in part (a) as a fraction of the speed of light. Is the Higgs moving relativistically? talte odl (c) The Higgs has a lifetime of about 2. 10-22 seconds in its rest frame. What is the lifetime measured by researchers in the laboratory frame for a Higgs boson with the velocity you found in part (b)? (d) To produce particles such as the Higgs, the LHC accelerates bunches of protons to a speed of 0.999999991c at the time of collision. The length of the proton bunches in their rest frame is 7.5 cm. What is the length of the proton bunches measured by the ni bavol goy Jad researchers in the laboratory frame?
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(30 points) The Higgs boson, which has rest-mass energy of 125 GeV, is produced from
collisions at the Large Hadron Collider (LHC).
(a) Assuming all of the LHC's energy (14 TeV, or 14- 10¹2 eV) goes into producing a Higgs,
determine the kinetic energy of the Higgs produced.
(b) Find the speed of the Higgs produced in part (a) as a fraction of the speed of light. Is
the Higgs moving relativistically?
ale onl
(c) The Higgs has a lifetime of about 2. 10-22 seconds in its rest frame. What is the lifetime
measured by researchers in the laboratory frame for a Higgs boson with the velocity you
found in part (b)?
pitom
(d) To produce particles such as the Higgs, the LHC accelerates bunches of protons to a
speed of 0.999999991c at the time of collision. The length of the proton bunches in
their rest frame is 7.5 cm. What is the length of the proton bunches measured by the
ni bavol Boy Jadi
researchers in the laboratory frame?
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