Calculating the Minimum Proton Speed Near a Lead Nucleus

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SUMMARY

The discussion focuses on calculating the minimum speed of a 20.0 MeV proton as it approaches a lead nucleus, which contains 82 protons, at a distance of 1.0 x 10^-13 meters. Participants emphasize the importance of converting MeV to Joules using the conversion factor (1 eV = 1.6 x 10^-19 Joules) and calculating the charge of the lead nucleus with the formula q = ne, where n is the number of protons. The kinetic energy and electric potential energy equations are crucial for determining the proton's minimum speed in this context.

PREREQUISITES
  • Understanding of kinetic energy and electric potential energy equations
  • Familiarity with energy conversion between MeV and Joules
  • Knowledge of charge calculation using q = ne
  • Basic concepts of atomic structure, specifically protons and nuclei
NEXT STEPS
  • Research the kinetic energy formula: KE = 0.5mv²
  • Study electric potential energy calculations in electrostatics
  • Learn about the implications of Coulomb's law in nuclear physics
  • Explore advanced topics in particle physics related to proton interactions
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Students and professionals in physics, particularly those focusing on nuclear physics, particle interactions, and energy calculations in atomic systems.

Gurneet
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1. Predict the minumum speed of a 20.0MeV proton as it passes within 1.0x10^-13 meters of a lead nucleus having 82 protons. (Note: 1eV = 1.6x10^-19 Joules)



2. How do I start off?



3. All i can think of is to get a charge for the lead nucleus by using q=ne which is the number of electrons/protons multiplied by the fundamental charge(1.6x10^-19) and also convert the MeV into joules using the note given at the end of the question.
 
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Welcome to physics forums.
Gurneet said:
1. Predict the minumum speed of a 20.0MeV proton as it passes within 1.0x10^-13 meters of a lead nucleus having 82 protons. (Note: 1eV = 1.6x10^-19 Joules)

2. How do I start off?

3. All i can think of is to get a charge for the lead nucleus by using q=ne which is the number of electrons/protons multiplied by the fundamental charge(1.6x10^-19) and also convert the MeV into joules using the note given at the end of the question.
That's a start. Think in terms of the proton's kinetic energy and (electric) potential energy -- you'll need to look up the equations for those, if you don't know them.
 

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