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Shaleen Pearson's MyLab & M × Course Home E MasteringPhysics: Chi × MasteringPhysics: Ch × G best buy-Google Sea x (7) whatsApp C Secure https://session.masteringphysics.com/myct/itemView?assignmentProblemID-83177384 Problem 32.51 Resources previous 13 of 13 return to assignment Problem 32.51 Part A Electromagnetic radiation is emitted by accelerating charges. The rate at which energy is emitted from an accelerating charge that has charge q and acceleration a If a proton with a kinetic energy of 5.1 MeV is traveling in a particle accelerator in a circular orbit with a radius of 0.640 m, what fraction of its energy does it radiate per second? Express your answer using two significant figures. is given by dE 60c where c is the speed of light. dt (dE/dt).1 d1.53.1015 Submit My Answers Give Up Incorrect; Try Again; 4 attempts remaining Part B Consider an electron orbiting with the same speed and radius. What fraction of its energy does it radiate per second? Express your answer using two significant figures. (dE/dt)1 Submit My Answers Give Up Feed Continue

Explanation / Answer

A) let v is the velocity of proton

KE = (1/2)*m*v^2

==> v = sqrt(2*KE/m)

= sqrt(2*5.1*10^6*1.6*10^-19/(1.67*10^-27))

= 3.126*10^7 m/s

acceleration of proton, a = v^2/r

= (3.126*10^7)^2/0.64

= 1.53*10^15 m/s^2

fraction of energy radiated, (dE/dt)*1s/E = q^2*a^2/(6*pi*epsilon*c^3)

= (1.6*10^-19)^2*(1.53*10^15)^2/(6*pi*8.854*10^-12*(3*10^8)^3)

= 1.33*10^-23

B) same. i.e 1.33*10^-23

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