COLLEGE PHYSICS-ACHIEVE AC (1-TERM)
COLLEGE PHYSICS-ACHIEVE AC (1-TERM)
3rd Edition
ISBN: 9781319453916
Author: Freedman
Publisher: MAC HIGHER
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Chapter 28, Problem 33QAP
To determine

(a)

The kinetic energy of the proton

Expert Solution
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Answer to Problem 33QAP

Kinetic energy of the proton and antiproton =0.312GeV

Explanation of Solution

Given:

Total energy is =2.5GeV=2.5×109eV

Mass of the proton and antiproton are equal that is mp=1.67×1027Kg

Formula used:

  E=mc2

Calculation:

  E=mpc2=(1.67×1027)(3×108)=1.503×1010J

Convert Joules into eV

  1.503×1010J=1.503×1010J×1eV1.6×1019J=9.38×108eV

  E=mpc2+mpc2+Kp+KpE=2mpc2+2Kp

  Kp=E2mpc22

  =2.5×1092( 9.38× 108 c2)c22=3.12×108eV=0.312GeV

Conclusion:

Kinetic energy of the proton and antiproton =0.312GeV

To determine

(b)

The kinetic energy of the proton with 1.25 more kinetic energy than antiproton

Expert Solution
Check Mark

Answer to Problem 33QAP

Kinetic energy of the proton and antiproton =0.312GeV

Explanation of Solution

Given:

Total energy is =2.5GeV=2.5×109eV

Mass of the proton and antiproton are equal that is mp=1.67×1027Kg

Formula used:

  E=mc2

Calculation:

  E=mpc2=(1.67×1027)(3×108)=1.503×1010J

Convert Joules into eV

  1.503×1010J=1.503×1010J×1eV1.6×1019J=9.38×108eV

  E=mpc2+mpc2+1.25Kp+KpE=2mpc2+2.25Kp

  Kp=E2mpc22.25

  =2.5×1092( 9.38× 108 c2)c22.25=2.77×108eV=0.277GeV

Conclusion:

Kinetic energy of the proton and antiproton =0.312GeV

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