(a)
The speed of a proton when its kinetic energy is equal to the kinetic energy of the electron.
(a)
Answer to Problem 39.66AP
The speed of a proton is
Explanation of Solution
Given info: The speed of an electron is
Write the equation of kinetic energy of proton.
Here,
The value of
Substitute
Write the equation of kinetic energy of electron.
Here,
The value of
Here,
Substitute
Thus, the value of
Substitute
The kinetic energy of proton is equal to the kinetic energy of electron.
Substitute
The mass of proton is
Substitute
Conclusion:
Therefore, the speed of a proton is
(b)
The speed of a proton when its momentum is equal to the momentum of an electron.
(b)
Answer to Problem 39.66AP
The speed of a proton is
Explanation of Solution
Given info: The speed of an electron is
Write the equation of momentum of proton.
Substitute
Write the equation of momentum of electron.
Substitute
The momentum of proton and electron are same.
Substitute
Substitute
Conclusion:
Therefore, the speed of a proton is
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Chapter 39 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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