37. An electron and a proton are each accelerated starting from rest through a potential difference of 10.0 million volts. Find the momentum (in MeV/c) and the kinetic energy (in MeV) of each, and compare with the results of using the classical formulas

37. An electron and a proton are each accelerated starting from rest through a potential difference of 10.0 million volts. Find the momentum (in MeV/c) and the kinetic energy (in MeV) of each, and compare with the results of using the classical formulas

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter28: Special Relativity

Section: Chapter Questions

Problem 62PE: (a) What is the effective accelerating potential for electrons at the Stanford Linear Accelerator,...

See similar textbooks

Related questions

Q: An electron moves through the lab at a speed such that γ = 1.5. The electron’s kinetic energy isA.…

Q: An electron of mass 9.11*10^-31 kg has kinetic energy 5 mc^2. Determine the relativistic energy of…

A: The electron’s mass is, The electron’s kinetic energy is,

Q: An electron travels at 0.479c. Calculate the electron's Einsteinian momentum p. kg-m/s Calculate the…

A: The given electron is travelling at a speed of 0.479c, where c is the speed of light. Let v=0.479c…

Q: Calculate the velocity of a neutron whose kinetic energy is four times its rest energy. Rest energy…

A: Write the expression for the kinetic energy. Here, moc2 is the rest mass energy, v is the velocity…

Q: that has 1 eV= Find the speed of an electron a kinetic energy of 2.09 eV. 1.602 x 10-19 J. Answer in…

Q: Calculate the kinetic energy of a proton whose momentum is 2 MeV/c. Rest energy of proton is…

A: The problem is based on the relativistic mass-energy and momentum relation. We also know that the…

Q: pp collision. A proton of mass 938 [MeV] and energy 1069 [MeV] collides with another stationary…

Q: An atom of beryllium (m= 8.00 u) splits into two atoms of helium (m= 4.00 u) with the release of…

Q: How much work is required to accelerate a proton from rest up to a speed of 0.85c? A. 1.11 × 10 J.…

Q: Problem A moving electron has a Kinetic Energy K1. After a net amount of work is done on it, the…

Q: Calculate the momentum of a 938-MeV proton. Rest energy of proton is 938-MeV. A. 938 MeV/c B. 1876…

Q: An electron (m = 9.1 x 10-31 kg, q = -1.6 x 10-19 C) in the picture tube of a TV is accelerated from…

Q: Find the speed v at which one electron will have the same total relativistic energy as n electrons…

A: Speed of one electron is v. The total relativistic energy is given by , E=γmc2 where γ=…

Q: The momentum of a particle is. hw h?k? 2m mv² 2

Q: How much energy does it take to raise the temperature of 6.5 pounds of water from 68 deg. F to 212…

Q: How much work must be done on an electron to accelerate it from rest to a speed of 0.870c? Number i…

Q: An evacuated tube uses a potential difference of Delta*V = 0.24kV to accelerate electrons, which…

Q: A linear particle accelerator using beta particles collides electrons with their anti-matter…

Q: 9. A square frame has sides that measure 1.75 m when it is at rest. What is the size of the sides of…

A: Given that a square frame has side 1.75 where it is at rest, then we have to determine the size of…

Q: A moving proton has 6.4 x 10-16J of kinetic energy and accelerates from 0V to -5000Vof 5000V between…

A: The potential energy gained by the proton when it is accelerated in the potential difference V is…

Q: b) In nuclear physics, it is convenient to express the energy of particles in electron volts (eV),…

Q: What is the speed of an electron which has a total energy of 1 MeV?

Q: Alpha particles, which may be viewed as Helium nuclei, have a mass of 6.64 x 10-27 kg. If an alpha…

A: Given K=1.00 MeV=1.60×10-13 J m=6.64×10-27 kg

Q: Electrons used to produce medical x rays are accelerated from rest through a potential difference of…

A: Potential difference= 25,000 Volts charge on each electron=1.6×10-19 C, By classical means we…

Q: . In a proton linear accelerator, protons are accelerated to have a kinetic energy of 500 MeV. What…

Q: A car roles off the assembly line with a mass of 2000kg. A very special rocket booster, with mass…

Q: An electron is accelerated from rest through a potential difference of 2.5 × 106 V. (a) What is the…

A: Given,The electron is accelerated through a potential difference, ∆v = 2.5×106 VThe charge of the…

Q: An airplane moving 26 kph westward dropped a missile at an altitude of 11.0 km ASL. What was the…

Q: An electron has a speed of 0.620c. (a) Find the speed of a proton that has the same kinetic energy…

Q: An evacuated tube uses a potential difference of ΔV = 0.38 kV to accelerate electrons, which then…

A: Scenario - Electron initiating from rest accelerates and reaches up to a certain speed, with which…

Q: A particle has a mass of 1.88E-28 kg and it travels at a speed of 0.971c, where c is the speed of…

Q: Please answer these questions well explained. Scientists observe an electron travelling at 0.98 c.…

Q: Problem 17: An evacuated tube uses a potential difference of AV= 0.56 kV to accelerate electrons,…

Q: Calculate the speed at which the total energy equal to twice the kinetic energy of a particle. A.…

A: We have to find the speed of.the particle such thay it's total energy is twice of kinetic energy.

Q: Question Consider the inelastic collision. Two lumps of matter are moving directly toward each…

Q: How much work must be done on an electron to accelerate it from rest to a speed of 0.892c? Number i…

Q: Che Tom A econds. 12. The racing car shown in the figure is traveling at 90 kph when it enters the…

Q: How much work must be done on an electron to accelerate it from rest to a speed of 0.939c? Number i…

A: Given, Speed of the electron v=0.939c mass of the electron m=9.11×10-31 kg The work done in…

Q: 6. A particle has a speed of 96% of the speed of light and a mass of 1u. The particle is unstable…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: What is the velocity of a proton with a kinetic energy of 3.4 eV. Give your answers in 105 m/s with…

A: K.E. = 3.4 eV Mass of proton = 1.67×10-27 kg

Concept explainers

Relativistic Energy and Momentum

According to classical physics, time flow is the same for every observer. But according to einstein's theory, time flow is different for different observers. The idea that time flow is not the same for all may sound strange because we may not experience this effect in everyday life. This effect is only observed when an object moves with some velocity comparable to the velocity of light. This velocity is termed relativistic velocity.

Question

at
37. An electron and a proton are each accelerated starting from
rest through a potential difference of 10.0 million volts. Find
the momentum (in MeV/c) and the kinetic energy (in MeV)
of each, and compare with the results of using the classical
formulas.
t,
the
47. Ob
a t

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

(a) Beta decay is nuclear decay in which an electron is emitted. If the electron is given 0.750 MeV of kinetic energy, what is its velocity? (b) Comment on how the high velocity is consistent with the kinetic energy as it compares to the rest mass energy of the electron.
(a) Calculate the relativistic quantity =11v2/c2for 1.00-TeV protons produced at Fermilab. (b) If such a proton created a +having the same speed, how long would its life be in the laboratory? (c) How far could it travel in this time?
What is the velocity of an electron that has a momentum of 3.04×10-21?kg·m/s? Note that you must calculate the velocity to at least four digits to see the difference from c.
(a) What is the kinetic energy in MeV of a ray that is traveling at 0.998c? This gives some idea of how energetic a ray must be to travel at nearly the same speed as a ray. (b) What is the velocity of the ray relative to the ray?
Theorists have had spectacular success in predicting previously unknown particles. Considering past theoretical triumphs, why should we bother to perform experiments?
(a) What is the momentum of a 2000 kg satellite orbiting at 4.00 km/s? (b) Find the ratio of this momentum to the classical momentum. (Hint: Use the approximation that =1+(1/2)v2/c2 at low velocities.)
In the Check Your Learning section of Example 27.1, the author commented that even at z=0.2 , there is already an 11% deviation between the relativistic and the classical solution. What is the percentage difference between the classical and relativistic results at z=0.1 ? What is it for z=0.5 ? What is it for z=1 ?
(a) Calculate the relativistic kinetic energy of a 1000-kg car moving at 30.0 m/s if the speed of light were only 45.0 m/s. (b) Find the ratio of the relativistic kinetic energy to classical.
The lifetime of a free neutron is 886 s. If a neutron moves with a speed of m/s relative to an observer in the lab, what does the observer measure the neutron’s lifetime to be?
Nuclear-powered rockets were researched for some years before safety concerns became paramount. (a) What fraction of a rocket's mass would have to be destroyed to get it into a low Earth orbit, neglecting the decrease in gravity? (Assume an orbital altitude of 250 km, and calculate both the kinetic energy (classical) and the gravitational potential energy needed.) (b) If the ship has a mass of 1.00105 kg (100 tons), what total yield nuclear explosion in tons of TNT is needed?
Nuclear-powered rockets were researched for some years before safety concerns paramount. (a) What fraction of a rocket's mass would have to be destroyed to get it into a low Earth orbit, neglecting the decrease in gravity? (Assume an orbital altitude of 250 km, and calculate both the kinetic energy (classical) and the gravitational potential energy needed.) (b) If the ship has a mass of 1.00×105kg (100 tons), what total yield nuclear explosion in tons of TNT is needed?
The mass of a theoretical particle that may be associated with the uni?cation of the electroweak and strong forces is (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 (would have to be.)