Two protons collide to form an antiproton. Suppose the two protons collide head-on with equal speeds. (a) In this frame of reference, what is the threshold energy? (b) Find the velocity corresponding to the threshold energy. (c) Now transform to a frame of reference in which one of the initial protons is at rest, and find the speed and the energy of the other proton.

Two protons collide to form an antiproton. Suppose the two protons collide head-on with equal speeds. (a) In this frame of reference, what is the threshold energy? (b) Find the velocity corresponding to the threshold energy. (c) Now transform to a frame of reference in which one of the initial protons is at rest, and find the speed and the energy of the other proton.

Related questions

Q: One possible decay mode of the neutral kaon is K0 -> π0 + π0. The rest energies of the K0 and π0…

A: (a) Since the Kaon is initially at rest, so the energy released in the decay is difference of rest…

Q: 4.4 Muon lifetime. The lifetime of a stationary muon is 2.2 microseconds. A beam of muons is…

A: The muon problem is an example of time dilation in action. Muons are subatomic particles that are…

Q: Suppose that a certain accelerator can give the protons a kinetic energy of 200 GeV. The rest energy…

A: The given reaction takes place as following p+p→p+p+X The collision between a moving and a…

Q: What is γ for a proton having a mass energy of 938.3 MeV accelerated through an effective potential…

Q: A K° meson (mass 497.61 MeV/c²) decays to a †, a pair with a mean lifetime of 0.89 × 10-10 s.…

Q: The average lifetime of a pi meson in its own frame of reference (i.e., the proper lifetime) is 2.6…

A: (a)The mean life time as measured by the observer on earth can be given as

Q: An electron-positron collider runs with symmetric beam energies of E(e+) = E(e¯) = 102 GeV. At each…

A: Step 1:a). Energy loss mechanism and calculation: The primary mechanism for energy loss in a…

Q: A K⁻ meson has a rest lifetime of 1.24 x 10⁻⁸ s. If one of these particles is created in a particle…

A: Formula of time dilation is as follows: ∆t'=∆t1-v2c2…

Q: A proton and an antiproton are moving toward each other in a head-on collision. If each has a speed…

Q: Consider a proton having an energy of 0.85 TeV, produced by the Fermilab accelerator. Part (a)…

A: The energy of the proton, We need to find the relativistic parameter for…

Q: An electron with a total energy of 30.0 GeV collides with a stationary positron. (a) What is the…

A: When both masses are equal then total energy is much greater than rest energy, therefore available…

Q: A positron is an antimatter version of the electron, having exactly the same mass. When a positron…

Q: In the first upgrade of the Large Hadron Collider, each of the colliding proton beams was designed…

A: When an object is moving with a velocity comparable to that of light relativistic effects should be…

Q: Consider a collider in which protons, rest mass 938.3 MeV/c², that are moving in the +x direction…

A: It is assumed that a collider will be used in which protons having a rest mass of m0=938.3 MeV/c2…

Q: Provide the answers in 2 hours, and count as 2 questions if necessary.

A: Step 1: a) The mechanism responsible for the energy loss in this electron-positron collider is…

Q: The average lifetime of a pi meson in its own frame of reference (i.e., the proper lifetime) is 2.6…

A: Given Data: Average life time of pi meson (∆t) = 2.6×10-8 s.Speed of the pi meson (v) = 0.93c. To…

Q: (a) What is the effective accelerating potential for electrons at the Stanford Linear Accelerator,…

Q: The intensity of cosmic ray radiation decreases rapidly with increasing energy, but there are…

A: The cosmic ray particle energy,

Q: A neutral -meson is a particle that can be created by accelerator beams. If one such particle lives…

Q: As you read this page (on paper or monitor screen), a cosmic ray proton passes along the left–right…

Q: While in flight, an unstable particle decays into three pions (rest mass 140 MeV/c²) according to…

Q: Cosmic ray muons are produced high in the atmosphere (at 8000 m, say) and travel toward the earth at…

Q: A negative muon traveling at 53% the speed of lightcollides head on with a positive muon traveling…

A: Given: The negative muon is traveling at 53% the speed of light. The positive muon is traveling at…

Question

100%

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 11 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The mass of a theoretical particle that may be associated with the unification of the electroweak and strong forces is 1014 GeV/c2 .(a) How many proton masses is this?(b) How many electron masses is this? (This indicates how extremely relativistic the accelerator would have to be in order to make the particle, and how large the relativistic quantity γ would have to be.)
A proton synchrotron accelerates protons to a kinetic energy of 500 GeV. At this energy, calculate (a) the Lorentz factor, (b) the speed parameter, and (c) the magnetic field for which the proton orbit has a radius of curvature of 750 m.
Suppose that you have found a way to convert the rest energy of any type of matter directly to usable energy with an efficiency of 73.0%. How many liters of water would be sufficient fuel to very slowly push the Moon 2.30 mm away from the Earth? The density of water is pwater = 1.00kg/liter, the Earth's 'mass is Mearth = 5.97 x 1024 kg, the Moon's mass is Mmoon = 7.36 × 1022 kg, and the separation of the Earth and Moon is dEM = 3.84 x 10° m. Liters water:
The Kº meson is a subatomic particle of mass 498 MeV/c² that decays into two charged pions, Kº→++. The and have opposite charges, but the same mass, 140. MeV/c². A Kº at rest decays into two pions. Find the energies, momenta, and speeds of the two pions.
The positron is the antiparticle of the electron, having exactly the same mass but opposite charge. When a positron and an electron meet, they annihilate, converting all of their mass into energy. Part (a) Find the energy, in joules, released in this interaction assuming neither particle has any kinetic energy before the collision. Part (b) If this energy is given to a proton in the form of kinetic energy, what is its resulting velocity as a fraction of the speed of light? You should assume the proton will be moving relativistically. Part (c) If this energy is given to another electron in the form of kinetic energy, what is its velocity as a fraction of the speed of light?
A beam of π+meson (pions) at Fermilab are traveling at a speed of 0.92cwithrespect to the laboratory. The proper mean lifetime for these pions is 2.6×10−8s.(a) Is this proper lifetime measured in the laboratory frame or the frame of the pions?Why? (b) What is the mean lifetime as measured in the other frame of reference?
The Tevatron was a large particle accelerator that would collide beams ofprotons and anti-protons to see what would come out of the collisions.a) Let’s assume that each particle (in both beams) was accelerated to a total energy of100 GeV. What is the speed of the protons (relative to the speed of light) if you assumethe mass of the proton is equal to 1 GeV/c^2? Write your answer in terms of the speed oflight—keep it as a decimal times “c”. You will need several decimal places.b) Suppose that you now accelerate each particle to a speed of 0.9c. Since they are movingin opposite directions, what is the speed that one would measure for the speed of the otherparticle? Just give the absolute value of this speed. Don’t worry about the sign.c) Given your answer in part b, what is the energy of that one particle would measure forthe other particle?
The average lifetime of a pi meson in its own frame of reference (i.e., the proper lifetime) is 2.6 10-8 s. (a) If the meson moves with a speed of 0.94c, what is its mean lifetime as measured by an observer on Earth? (b) What is the average distance it travels before decaying, as measured by an observer on Earth? (c) What distance would it travel if time dilation did not occur?
MASS OF A PROTON: 1.007825 U; MASS OF A NEUTRON: 1.008665 U 10.. What are the four fundamental Forces (interactions) - Describe their interactions and ranges.
A particle's dynamics are considered "relativistic" when its velocity is a significant fraction of the speed of light. For example, the mass of a moving particle seen by a stationary observer increases in proportion to the square root of 1/(1 - (v/c)2). For typical speeds in the everyday world it is not noticeable, but take a fast moving fundamental particle and you may have apparent mass increases or changes in its lifetime as a consequence of time dilation. Look at this factor for the electron you measured at 100 V in the glass globe. Pick the best answer. The effect is less than 0.1 %. The effect is around 1%. The effect is around 10%. The effect is a factor of 2 change in mass.
Question 25 MeV C2 MeV C A pion's rest mass is 139.6 Pions with a momentum 200.0 are produced at the TRIUMF cyclotron in Vancouver. What is their speed? (Hint: to solve this problem, let the speed of the pions be x-c where x <1, and solve for x) A. 0.421 c B 0.820 c C. 0291 c D.0.766 c E. 0.156 c
Determine the mean distance traveled (in km) by a muon of energy 425 MeV before decaying. The rest mass of muon is 105.7 MeV/c and its mean lifetime is 2.2 us. (a) 1.48 km (b) 2.83 km (c) 2.57 km (d) 1.79 km