Relativistic Momentum and EnergyRelativistic Momentum (p)It is just classical momentum multiplied by the relativistic factor (y).4.0-2 3.0-p = ymu2.0-where m is the rest mass of the object, u is its velocity relative to an observer,and the relativistic factor.1.0-Y =0-0.2c 0.4c 0.6c 0.8c 1.0cRelativistic momentum has the same intuitive feel as classical momentum.speed u (m/s)It is greatest for large masses moving at high velocities, but, because of thefactor (7), relativistic momentum approaches infinity as velocity (u)approaches speed of light (c). (See Figure 1) This is another indication thatan object with mass cannot reach the speed of light. If it did, its momentumwould become infinite, an unreasonable value.Figure 1. Relativistic momentumapproaches infinity as the velocity ofan object approaches the speed oflight.Example:An electron, which has a mass of 9.11 x 10-31 kg, moves with a speed of 0.750c. Find its relativistic momentum.Given:Solution:me = 9.11 x 10-31 kgu = 0.750cmeu(9.11 x 10-31 kg)(0.750)(3.00 x 108 m/s)p =3.10 x 1022 kgm/s1-(0.750c)²c2u2Relativistic EnergyThe first postulate of relativity states that the laws of physics are the same in all inertial frames. Einstein showedthat the law of conservation of energy is valid relativistically, if we define energy to include a relativistic factor. Itcan be summarized by the equation below:Total Energy (E)is defined as:Kinetic Energy (K)is defined as:K = ymc²- mc²Rest Energy Energy (Eo)is defined as:E = ymc²%3D+E, = mc²The Relationship of relativistic momentum and energy can be defined by:E? = (pc)² + (mc²)²Example:An electron in a television picture tube typically moves with a speed u = 0.25c. Find its total energy and kineticenergy in electron volts (Eo = 0.511 MeV).Given:Solution:Eo = 0.511 MeVmęc2Eo0.511 MeVu = 0.25cE == 0.528 MeyK= E- Eo = 0.528 MeV – 0.511 MeVu2(0.25c)²|0.017 MeVActivity:Solve the following problems. Use the rubrics as your guide in presenting your solution (refer to attachment A.1at the next page).1. An electron, which has a mass of 8.45 x 10-31 kg, moves with a speed of 0.45c. Find its relativisticmomentum and find the percentage increase of its relativistic momentum from its classical momentum.2. An electron in a television picture tube typically moves with a speed u = 0.25c. Find its total energy andkinetic energy in electron volts (Eo = 0.385 MeV)momentum Prel (kg m/s)

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1. An electron, which has a mass of 8.45 x 10-31 kg, moves with a speed of 0.45c. Find its relativistic momentum and find the percentage increase of its relativistic momentum from its classical momentum.

1. An electron, which has a mass of 8.45 x 10-31 kg, moves with a speed of 0.45c. Find its relativistic momentum and find the percentage increase of its relativistic momentum from its classical momentum.

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)...

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