**Problem 8: Proton Linear Accelerator**In a proton linear accelerator, protons are accelerated to have a kinetic energy of 550 MeV. What is their relativistic momentum? (The rest mass of a proton is \(1.67 \times 10^{-27}\) kg.)**Answer:** \(5.42 \times 10^{-19}\) kg·m/s(Note: The image shows a partial view of a MacBook keyboard with an orange cover, which is not relevant to the problem.)

Answered: Image /qna-images/answer/3e8d9986-8312-40eb-9cb6-b4399b08cbc9.jpg

Answered: 8. In a proton linear accelerator,…

8. In a proton linear accelerator, protons are accelerated to have a kinetic energy of 550 MeV. What is their relativistic momentum? (The rest mass of a proton is 1.67 × 10-27 kg.) x 5.42e-19 kg.m/s

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

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 has a speed of 0.75c. Calculate the relativistic kinetic energy and the non-relativistic…

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: 14. What is the total kinetic energy of an object that is 5 kg and moving 25 m/s due West? (2 pts.)…

A: Given Mass (m) = 5 kg Speed (v) = 25 m/s Kinetic energy of the object KE = (1/2) mv2

Q: In Newtonian Mechanics, the Newtonian Kinetic Energy KEN of a particle with mass m and velocity v is…

Q: 7. In a proton linear accelerator, protons are accelerated to have a kinetic energy of 550 MeV. What…

A: Kinetic energy of protons is Mass of proton is Note:Find:Speed of proton in terms of speed of light.

Q: A rocket leaves a planet and travels at a constant speed of 0.5 c to a destination. An observer on…

A: Given, speed v = 0.5 c Observer time T = 15 h From Time Dilation, the relationship…

Q: . June and Miko are 21 years old when June leaves to travel in outer space. June's space ship…

Q: Lauren is flying in her spaceship at 0.3c. If she doubles her speed to 0.6c, her momentumA. Doubles.…

A: Given: The initial speed of spaceship is v1=0.3c The new speed of space ship is v2=0.6c. Let m is…

Q: Q23. Two bodies of masses m and 4 m are moving with equal kinetic energy. The ratio of velocities…

Q: b). i). What is meant by Time dilation? ii). Hence, a clock on a space rocket ticks off at a time…

Q: How much work must be done on an electron to accelerate it from rest to a speed of 0.909c? Number i…

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: Which of the following expressions shows the correct relativistic force? where m= mass, a =…

A: Using concept of relativity we can solve the problem as solved below

Q: Q4: The total energy of a proton is five times its rest energy. Where the rest mass of proton is m,…

A: Since we answer up to three subparts, we will answer the first three. Please resubmit the question…

Q: 6. A particle has a kinetic energy equal one and a half times its rest mass energy. What is the…

Q: 3. When at rest an elementary particle has an average lifetime of 2.60*10^-8s. An astrophysics lab…

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

Q: 11. A tau particle has a rest mass of 3.18×10-"kg. Suppose a tau particle is traveling at 1.25x10° m…

A: Given: rest mass=3.18×10-27kg A tau particle is travelling at 1.25 x 108 m/s Formula used: γ=11-β2…

Q: 7. In a proton linear accelerator, protons are accelerated to have a kinetic energy of 550 MeV. What…

A: Given data: The kinetic energy, K.E=550 MeV The rest mass of a photon is m=1.67×10-27 kg

Q: 7. The kinetic energy of an electron is 45% of its total energy. Find the relativistic momentum of…

Q: 5. An electron travels at a speed of 8.40 x 10' m/s. What is its total energy? (The rest mass of an…

A: Given- Speed of electron v=8.4×107 m/sMass of electron m=9.11×10-31 kg

Q: Does any clock in this problem measure the spacetime interval between the events? If so, which one…

A: The clock onboard the alien spacecraft measures spacetime intervals.

Q: How much mass is need to create 5.25 J of energy? Recall the speed of light c-3.00 108 m/s-1.86×105…

A: Solution:-Given thatEnergy (E)=5.25 Jspeed of light (c)=3×108 m/s=1.86×105 mi/s

Q: An astronaut flying at 0.65c takes a 3-h sleep period. How long does mission controlthink that the…

A: Given values:Time for sleep in the astronaut's frame:to = 3 h Velocity of spacecraft:v = 0.65c…

Q: Find the relativistic mass of the rocket when its moving.

Q: 4. An electron, with a rest mass of 9.11 × 10-31 kg, has a relativistic momentum of 2.338 × 10-22 kg…

A: Step 1:

Q: relativistic momentum

A: Given speed of electron v=0.75c rest mass of the electron m0=9.1×10-31kg Speed of light c=3×108m/s

Q: 6. Relativity. A particle called the muon has a life time of 2.2 usec, in its rest frame, before it…

A: Time dilation: Time observed in a moving frame appears to be different as observed in a frame that…

Q: 2. The work-energy theorem relates the change in kinetic energy of a particle to the work done on it…

Q: A particle has a rest mass of 6.35 × 10-27 kg and a momentum of 4.71 x 10-18 kg-m/s. Determine the…

Q: n A 45.0 m long rocket travels at a speed of 0.945c past an observer who is at rest. What is the…

A: Given that The length of the rocket is (L) =45.0m The speed of the rocket is(v)…

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

Q: What is the total energy of an electron moving with a speed of 0.950 c? a. 2.6 × 10-13 J b. 1.1 ×…

A: Given, Speed of electron is, v=0.95c and rest mass of an electron is mo=9.1×10-31kg Then the total…

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

Q: A tau particle has a rest mass of 3.18x10kg. Suppose a tau particle is traveling et 1.25x10 " in the…

A: Given : m=3.18x10-28 kg v=1.25x108 m/s

Q: 1. Two cars are traveling at constant speed along a road in the same direction. Car A moves at 60…

A: The problem is asking for the relative speed of car A with respect to car B. In other words, if you…

Q: The work-energy theorem relates the change in kinetic energy of a particle to the work done on it by…

A: Work energy theorem is the net work of the body equal to the change in kinetic energy. The sum of…

Q: 04

A: We know that:-The relativistic energy of a particle, EE=pc2+mc22here, ρ is the momenteum of the…

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

Q: 8. Adam and Avani are twins. On their 19th birthday, Avani leaves on a spaceship and travels at 0.80…

Q: 7. In a proton linear accelerator, protons are accelerated to have a kinetic energy of 550 MeV. What…

Q: If the velocity of your spaceship goes from 0.3c to 0.6c, then your mass will increase by a. 19% b.…

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

**Problem 8: Proton Linear Accelerator**

In a proton linear accelerator, protons are accelerated to have a kinetic energy of 550 MeV. What is their relativistic momentum? (The rest mass of a proton is \(1.67 \times 10^{-27}\) kg.)

**Answer:** \(5.42 \times 10^{-19}\) kg·m/s

(Note: The image shows a partial view of a MacBook keyboard with an orange cover, which is not relevant to the problem.)

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1: Determine the given data:

VIEW

Step 2: Calculate the relativistic momentum:

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 3 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

9. In a proton linear accelerator, protons are accelerated to have a kinetic energy of 5.50 relativistic momentum? t kg.m/s 60 ssf60 s ssf60 ssfot 09588 098 10-11 J. What is their ssf60 ssfo 093
2. Suppose a spacecraft is moving in free space with a constant velocity of magnitude 0.25 c relative to an observer. An astronaut onboard the spacecraft sends out two light beams, What is the velocity back toward the observer? Choices: A. -c B. +c C. 0.25 c D. -0.25 c
4. In a colliding beam apparatus, two beams of protons are aimed at each other. The first proton moves with a speed of 0.70c to the right; the second moves with a speed of 0.90c to the left. Both speeds are measured relative to the laboratory frame of reference. What is the speed of the second proton relative to that of the first? oofl
8. In a proton linear accelerator, protons are accelerated to have a kinetic energy of 550 MeV. What is their relativistic momentum? (The rest mass of a proton is 1.67 x 10-27 kg.) kg.m/s 16
35.)A proton with mass 1.7 x 10-27 kg and moves with velocity 2.6 x 106 m/s to the right. What is its relativistic momentum? 6.2 x 10-21 kg m/s 5.4 x 10-21 kg m/s 6.9 x 10-21 kg m/s 4.4 x 10-21 kg m/s
The theory of relativity sets an upper limit on the speed that a particle can have. Are there also limits on the energy and momentum of a particle? Explain.
03
What is the total energy of an electron moving with a speed of 0.950 c? a. 2.6 x 10-13 J b. 1.1 × 10-13J c. 1.2 x 10-14 J d. 8.2 × 10-14 J
28. A neutron lives 900 s when at rest relative to an observer. How fast is the neutron moving relative to an observer who measures its life span to be 2065 s?
Relativity might seem far removed from daily life, but even some older technologies had to take it into account. The electrons that draw the picture on the screen in an old-fashioned television set are accelerated through a potential difference of 17 kV.a. Calculate the speed of the electrons using the Newtonian formula for kinetic energy.b. Calculate the speed of the electrons using the relativistic formula for kinetic energy.c. By what factor does the Newtonian result exceed the relativistic result?