Answered: Compute the kinetic energy of a…

Science

Physics

Compute the kinetic energy of a relativistic object.

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter26: Relativity

Section: Chapter Questions

Problem 15P

See similar textbooks

Related questions

Q: What must be the momentum of a particle with mass m so that the total energy of the particle is 3.00…

Q: 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…

Q: Find the speed of a particle whose relativistic kinetic energy is 40 % greater than the Newtonian…

A: Here given the relativistic kinetic energy of the particle is 40% greater than the Newtonian…

Q: If a massless particle has momentum 1,349 MeV/c, calculate its energy in MeV.

A: Given information: Here, p is the momentum of the massless particle.

Q: Determine the ratio of the relativistic kinetic energy to the nonrelativistic kinetic energy (½mv2)…

A: Let β = vcwhere v is the velocity of the particle c is the speed of light(a)v = 10-3c∴ β…

Q: Is the relativistic rule consistent with the fact that light can have only one speed in all…

Q: Calculate the relativistic momentum of a particle of mass 1.76x10 kinetic energy is equal to three…

A: Given,

Q: The muon is an unstable particle that spontaneously decays into an electron and two neutrinos. In a…

A: (a). the life time of moving muon is

Q: Find the speed of a particle whose relativistic kinetic energy is 40% greater than the Newtonian…

A: Let the mass of the particle is m0 . Let the relative mass of the particle is given by m. Let the…

Q: If an external force is operating on a system, is it feasible for it to be relativistic at the same…

Q: Please answer fast For a rocket traveling at 11010 m/s, by what factor does its relativistic…

Q: What is the momentum of an electron traveling at 0.980c ?

A: The expression for the Lorentz factor,

Q: Find the speed of a particle whose relativistic kinetic energy is 30 % greater than the Newtonian…

A: Here given the relativistic kinetic energy is 30% greater than the Newtonian value. We have to…

Q: At what speed is the magnitude of the relativistic momentum of a particle five times the magnitude…

A: We know that the momentum of a particle of mass m moving with velocity v is given by p = mv…

Q: Starting with the definitions of relativistic energy and momentum, show that E2 = p2c2 + m2c4

A: The relativistic energy is

Q: 4. A rocket ship has a mass of 1.50 x 105 kg. Its relativistic momentum is 3.00 x 10¹2 kg•m/s. How…

A: Given: The mass of the rocket is 1.5x105 kg. The relativistic momentum is 3x1012 kg.m/s.

Q: In a lab, two electrons A and B are emitted in opposite directions with velocities +0.6c and -0.7c,…

Q: Explain the temperature of gas with relativistic velocity?

A: Gas moves with relativistic speed. The overall speed of particles in the gas will be not the same as…

Q: A woman is 1.6 m tall and has a mass of 55 kg. She moves past an observer with the direction of the…

A: Given data: Height of woman is, h=1.6 m. Mass of woman is, m=55 kg. Magnitude of relativistic…

Q: At the instant that a clock standing next to you reads t = 1.0 μs, you look at a second clock, 300 m…

A: The expression for find time taken by the light to reach the given distance is t=dv

Q: What is the classical and relativistic momentum of an object with a mass of 5 kg moving at a speed…

Q: An electron whose momentum (885 keV/c). Therefore it has kinetic energy ( keV) is •... ....

Q: At what speed (in m/s) is the magnitude of a particle's relativistic momentum 20.8% larger than its…

A: Relativistic momentum p is classical momentum multiplied by the relativistic factor γ. p = γmu where…

Q: What is the total energy, in MeV, ofa. A proton traveling at 99.0% of the speed of light?b. An…

A: Given I) Proton trravelling at 99.0% of the speed of light ll) Electron travelling at 99.0% of…

Q: Starting with the definitions of relativistic energy and momentum, show that E2 =P2c2 +m2c4 (Eq.…

Q: The measured mean lifetime of an elementary particle when it is at rest in the lab is measured to be…

Q: What is the momentum of a 950-MeV proton (that is,its kinetic energy is 950 MeV)?

A: Total energy and momentum of a particle is related as- E2=p2c2+m02c4 (1)where,E…

Q: An object with a rest mass of 1.5 kg is moving at a speed of 0.91c. (a) Determine the relativistic…

Q: An electron has a kinetic energy of 0.100 MeV. Find its speed according to classical and…

Q: its speed?

A: kinetic energy of electron , K. E = 0.923 MeV 1 MeV = 1.6 x10-13 J mass of the electron = m = 9.1 x…

Q: Is the relativistic Doppler effect valid only for light waves? Can you think of another situation in…

A: The relativistic Doppler effect of light is the variation in the frequency of a light wave when the…

Q: The kinetic energy of a particle is 45 MeV. If themomentum is 121 MeV /c what is the particle’s…

A: Given data The kinetic energy of the particle is KE = 45 MeV. The momentum of the particle is p =…

Q: A particle with a mass of 4.91 u moves with the kinetic energy of 838.8 MeV. What is the velocity of…

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

Compute the kinetic energy of a relativistic object.

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

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 spacecraft moves at a speed of 0.900c. If its length is L as measured by an observer on the spacecraft, what is the length measured by a ground observer?
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.
An 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.)
If the ship moves past the observer at 0.01000c, what length will the observer measure?
A clock on a moving spacecraft runs 1 s slower per day relative to an identical clock on Earth. What is the relative speed of the spacecraft? (Hint: For v/c << 1, note that γ ≈ 1 + v2/2c2.)
What is the momentum of an electron travelling at 0.98c?
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.
A 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.
If a spaceship is approaching the Earth at 0.100c and a message capsule is sent toward it at 0.100c relative to Earth, what is the speed of the capsule relative to the ship?
One cosmic ray neuron has a velocity of 0.250c relative to the Earth. (a) What is the neutron's total energy in MeV? (b) Find its momentum. (c) Is in this situation? Discuss in terms of the equation given in part (a) of the previous problem.
Two powerless rockets are on a collision course. The rockets are moving with speeds of 0.800c and 0.600c and are initially 2.52 × 1012 m apart as measured by Liz, an Earth observer, as shown in Figure P1.34. Both rockets are 50.0 m in length as measured by Liz. (a) What are their respective proper lengths? (b) What is the length of each rocket as measured by an observer in the other rocket? (c) According to Liz, how long before the rockets collide? (d) According to rocket 1, how long before they collide? (e) According to rocket 2, how long before they collide? (f) If both rocket crews are capable of total evacuation within 90 min (their own time), will there be any casualties? Figure P1.34
Consider the relativistic form of Newtons second law. Show that when F is parallel to v, F=m(1v2c2)3/2dvdt where m is the mass of an object and v is its speed.