Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 36, Problem 56P
To determine
The kinetic energy and momentum of the proton, and the error in kinetic energy and momentum by using classical formulas.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
I need the answer as soon as possible
In special relativity, we introduced the momentum of a particle in a given Lorentz frame as p" =
(E,p'), where E is the energy of the particle and p¹ is the relativistic 3-momentum. Explain why,
in general relativity, the energy of a particle measured by an observer is given, irrespective of the
coordinate system used, by -p Uobs, where p" is the momentum of the particle and uobs is the
velocity of the observer in those coordinates.
Protons in a University accelerator are accelerated to a kinetic energy of 16 times their rest energy.
(a) What is the relativistic factor gamma for these protons?
(b) What is the speed of these protons? (express in terms of c, the speed of light)
(c) What is their kinetic energy in MeV?
(d) What is the rest energy of the protons?
(e) What is their momentum in MeV/c?
Chapter 36 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 36.4 - Examine the experiment of Fig. 366 from O1s...Ch. 36.5 - What is the muons mean lifetime (Example 361) if...Ch. 36.5 - A certain atomic clock keeps perfect time on...Ch. 36.6 - Prob. 1DECh. 36.8 - Use Eqs. 367 to calculate the speed of rocket 2 in...Ch. 36.8 - A rocket is headed away from Earth at a speed of...Ch. 36.11 - A proton is traveling in an accelerator with a...Ch. 36.11 - For 1% accuracy, does an electron with K = 100 eV...Ch. 36 - You are in a windowless car in an exceptionally...Ch. 36 - You might have had the experience of being at a...
Ch. 36 - Prob. 3QCh. 36 - Does the Earth really go around the Sun? Or is it...Ch. 36 - If you were on a spaceship traveling at 0.5c away...Ch. 36 - The time dilation effect is sometimes expressed as...Ch. 36 - Does time dilation mean that time actually passes...Ch. 36 - Prob. 8QCh. 36 - If you were traveling away from Earth at speed...Ch. 36 - Do time dilation and length contraction occur at...Ch. 36 - Suppose the speed of light were infinite. What...Ch. 36 - Discuss how our everyday lives would be different...Ch. 36 - Explain how the length contraction and time...Ch. 36 - The drawing at the start of this Chapter shows the...Ch. 36 - Prob. 15QCh. 36 - Can a particle of nonzero mass attain the speed of...Ch. 36 - Prob. 17QCh. 36 - If mass is a form of energy, does this mean that a...Ch. 36 - Prob. 19QCh. 36 - Is our intuitive notion that velocities simply...Ch. 36 - (I) A spaceship passes you at a speed of 0.850c....Ch. 36 - Prob. 2PCh. 36 - (II) According to the special theory of...Ch. 36 - (II) If you were to travel to a star 135...Ch. 36 - (II) What is the speed of a pion if its average...Ch. 36 - (II) In an Earth reference frame, a star is 56...Ch. 36 - (II) Suppose you decide to travel to a star 65...Ch. 36 - (II) At what speed v will the length of a 1.00-m...Ch. 36 - (II) Escape velocity from the Earth is 11.2 km/s....Ch. 36 - (II) A friend speeds by you in her spacecraft at a...Ch. 36 - (II) At what speed do the relativistic formulas...Ch. 36 - (II) A certain star is 18.6 light-years away. How...Ch. 36 - (II) Suppose a news report stated that starship...Ch. 36 - (II) An unstable particle produced in an...Ch. 36 - (II) When it is stationary, the half-life of a...Ch. 36 - (II) In its own reference frame, a box has the...Ch. 36 - (II) When at rest, a spaceship has the form of an...Ch. 36 - (II) How fast must a pion be moving on average to...Ch. 36 - (I) An observer on Earth sees an alien vessel...Ch. 36 - (I) Suppose in Fig. 3611 that the origins of S and...Ch. 36 - (I) Repeat Problem 20 using the Lorentz...Ch. 36 - (II) In Problem 21, suppose that the person moves...Ch. 36 - (II) Two spaceships leave Earth in opposite...Ch. 36 - (II) Reference frame S moves at speed v = 0.92c in...Ch. 36 - (II) A spaceship leaves Earth traveling at 0.61c....Ch. 36 - (II) Your spaceship, traveling at 0.90c, needs to...Ch. 36 - (II) A spaceship traveling at 0.76c away from...Ch. 36 - Prob. 28PCh. 36 - (II) A stick of length 0, at rest in reference...Ch. 36 - (III) In the old West, a marshal riding on a train...Ch. 36 - (III) Two lightbulbs, A and B, are placed at rest...Ch. 36 - (III) An observer in reference frame S notes that...Ch. 36 - (III) A farm boy studying physics believes that he...Ch. 36 - (I) What is the momentum of a proton traveling at...Ch. 36 - Prob. 35PCh. 36 - (II) A particle of mass m travels at a speed v =...Ch. 36 - (II) An unstable particle is at rest and suddenly...Ch. 36 - Prob. 38PCh. 36 - Prob. 39PCh. 36 - Prob. 40PCh. 36 - (I) The total annual energy consumption in the...Ch. 36 - Prob. 42PCh. 36 - Prob. 43PCh. 36 - Prob. 44PCh. 36 - (II) How much energy can be obtained front...Ch. 36 - (II) To accelerate a particle of mass m from rest...Ch. 36 - Prob. 47PCh. 36 - Prob. 48PCh. 36 - Prob. 49PCh. 36 - Prob. 50PCh. 36 - (II) What is the speed of a proton accelerated by...Ch. 36 - (II) Two identical particles of mass m approach...Ch. 36 - (II) What is the speed of an electron just before...Ch. 36 - Prob. 55PCh. 36 - Prob. 56PCh. 36 - (II) Suppose a spacecraft of mass 17,000 kg is...Ch. 36 - Prob. 58PCh. 36 - Prob. 59PCh. 36 - Prob. 60PCh. 36 - Prob. 61PCh. 36 - Prob. 62PCh. 36 - (III) (a) In reference frame S, a particle has...Ch. 36 - Prob. 64PCh. 36 - (II) A spaceship moving toward Earth at 0.70c...Ch. 36 - Prob. 66PCh. 36 - (III) A radar speed gun emits microwaves of...Ch. 36 - (III) A certain atom emits light of frequency f0...Ch. 36 - An atomic clock is taken to the North Pole, while...Ch. 36 - A spaceship in distress sends out two escape pods...Ch. 36 - An airplane travels 1300 km/h around the Earth in...Ch. 36 - The nearest star to Earth is Proxima Centauri, 4.3...Ch. 36 - Prob. 73GPCh. 36 - A healthy astronauts heart rate is 60 beats/min....Ch. 36 - A spacecraft (reference frame S) moves past Earth...Ch. 36 - Rocket A passes Earth at a speed of 0.65c. At the...Ch. 36 - (a) What is the speed v of an electron whose...Ch. 36 - As a rough rule, anything traveling faster than...Ch. 36 - Prob. 79GPCh. 36 - Prob. 80GPCh. 36 - Prob. 81GPCh. 36 - A free neutron can decay into a proton, an...Ch. 36 - The Sun radiates energy at a rate of about 4 1026...Ch. 36 - An unknown particle is measured to have a negative...Ch. 36 - How much energy would be required to break a...Ch. 36 - Prob. 86GPCh. 36 - Two protons, each having a speed of 0.985c in the...Ch. 36 - When two moles of hydrogen molecules (H2) and one...Ch. 36 - The fictional starship Enterprise obtains its...Ch. 36 - A spaceship and its occupants have a total mass of...Ch. 36 - In a nuclear reaction two identical particles are...Ch. 36 - A 32,000-kg spaceship is to travel to the vicinity...Ch. 36 - Suppose a 14,500-kg spaceship left Earth at a...Ch. 36 - A pi meson of mass m decays at rest into a muon...Ch. 36 - Astronomers measure the distance to a particular...Ch. 36 - A 1.88-kg mass oscillates on the end of a spring...Ch. 36 - Show that the spacetime interval, (c t)2 (x)2, is...Ch. 36 - Prob. 98GPCh. 36 - (II) For a 1.0-kg mass, make a plot of the kinetic...
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
- Calculate the momentum of a proton moving with a speed of (a) 0.010c, (b) 0.50c, (c) 0.90c. (d) Convert the answers of (a)(c) to MeV/c.arrow_forwardA spaceship, 200 m long as. seen on board, moves by the Earth at 0.970c. What is its length as measured by an earthbound observer?arrow_forward. If the relativistic kinetic energy of a particle is 9 times its rest energy, at what fraction of the speed of light must the particle be traveling?arrow_forward
- An astronaut is traveling in a spacecraft in outer space in a straight line at a constant speed of 0.500c. Which of the following effects would she experience? (a) She would feel heavier. (b) She would find it harder to breathe. (c) Her heart rate would change. (d) Some of the dimensions of her spacecraft would be shorter. (e) None of those answers is correct.arrow_forwardA spacecraft is launched from the surface of the Earth with a velocity of 0.600c at an angle of 50.0° above the horizontal, positive x-axis. Another spacecraft is moving past with a velocity of 0.700c in the negative x direction. Determine the magnitude and direction of the velocity of the first spacecraft as measured by the pilot of the second spacecraft.arrow_forwardThe mass of the fuel in a nuclear reactor decreases by an observable amount as it puts out energy. Is the same true for the coal and oxygen combined in a conventional power plant? If so, is this observable in practice for the coal and oxygen? Explain.arrow_forward
- Give a physical argument showing that it is impossible to accelerate an object of mass m to the speed of light, even with a continuous force acting on it.arrow_forwardIt is said that Einstein, in his teenage years, asked the question, What would I see in a mirror if I carried it in my hands and ran at the speed of light? How would you answer this question?arrow_forwardAn atomic clock is placed in a jet airplane. The clock measures a time interval of 3600 s when the jet moves with a speed of 400 m/s. How much longer or shorter a time interval does an identical clock held by an observer on the ground measure? (Hint: For , γ ≈ 1 + v2/2c2.)arrow_forward
- Suppose the primed and laboratory observers want to measure the length of a rod that rests on the ground horizontally in the space between the helicopter and the tower (Fig. 39.8B). To derive the length transformation L = L (Eq. 39.5), we had to assume that the positions of the two ends were determined simultaneously. What happens to the length transformation equation if both observers measure the end below the helicopter at one time t1 and the other end at a later time t2?arrow_forwardTwo astronomical events are observed to occur at a time of 0.30 s apart and a distance separation of 2.0109m from each other. How fast must a spacecraft travel from the site of one event toward the other to make the events occur at the same time when measured in the frame of reference of the spacecraft?arrow_forwardTwo spaceships approach each other, each moving with the same speed as measured by an observer on the Earth. If their relative speed is 0.70c, what is the speed of each spaceship?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning