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Exercise:
A proton approaches the nucleus of a gold atom at a speed of vO of the speed of light. It slows down in the field of the nucleus. How far from the nucleus is the turning po?

Solution:
We can ase that the proton's initial position is far away from the nucleus so that the electric potential energy at that position can be considered to be zero. On its way towards the nucleus the kinetic energy is converted o electric potential energy until all of the initial kinetic energy has been converted o electric potential energy at the turning po distance sscrmin. sscEkin initial sscEpot final frac m_p v_i^ q phisscrminq k_CfracsscQAusscrmin Solving for the minimum distance sscrmin leads to sscrmin rF To find the numerical value you can convert all the quantities to units but it is instructive to simplify the fraction using particle physics units: sscrmin nckctimesqAunotag &phantomtimesfracempv^ nckctimesqAuXtimesncenotag &phantomtimesfracmpNumStimesvNumS^ unitV r approx resultrP-
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Exercise:
A proton approaches the nucleus of a gold atom at a speed of vO of the speed of light. It slows down in the field of the nucleus. How far from the nucleus is the turning po?

Solution:
We can ase that the proton's initial position is far away from the nucleus so that the electric potential energy at that position can be considered to be zero. On its way towards the nucleus the kinetic energy is converted o electric potential energy until all of the initial kinetic energy has been converted o electric potential energy at the turning po distance sscrmin. sscEkin initial sscEpot final frac m_p v_i^ q phisscrminq k_CfracsscQAusscrmin Solving for the minimum distance sscrmin leads to sscrmin rF To find the numerical value you can convert all the quantities to units but it is instructive to simplify the fraction using particle physics units: sscrmin nckctimesqAunotag &phantomtimesfracempv^ nckctimesqAuXtimesncenotag &phantomtimesfracmpNumStimesvNumS^ unitV r approx resultrP-
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Attributes & Decorations
Branches
Electrostatics
Tags
electrostatics, point charge, potential, rutherford
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Difficulty
(3, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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Decoration
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Link