Stopping a Proton
About points...
We associate a certain number of points with each exercise.
When you click an exercise into a collection, this number will be taken as points for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit the number of points for the exercise in the collection independently, without any effect on "points by default" as represented by the number here.
That being said... How many "default points" should you associate with an exercise upon creation?
As with difficulty, there is no straight forward and generally accepted way.
But as a guideline, we tend to give as many points by default as there are mathematical steps to do in the exercise.
Again, very vague... But the number should kind of represent the "work" required.
When you click an exercise into a collection, this number will be taken as points for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit the number of points for the exercise in the collection independently, without any effect on "points by default" as represented by the number here.
That being said... How many "default points" should you associate with an exercise upon creation?
As with difficulty, there is no straight forward and generally accepted way.
But as a guideline, we tend to give as many points by default as there are mathematical steps to do in the exercise.
Again, very vague... But the number should kind of represent the "work" required.
About difficulty...
We associate a certain difficulty with each exercise.
When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit its difficulty in the collection independently, without any effect on the "difficulty by default" here.
Why we use chess pieces? Well... we like chess, we like playing around with \(\LaTeX\)fonts, we wanted symbols that need less space than six stars in a tablecolumn... But in your layouts, you are of course free to indicate the difficulty of the exercise the way you want.
That being said... How "difficult" is an exercise? It depends on many factors, like what was being taught etc.
In physics exercises, we try to follow this pattern:
Level 1  One formula (one you would find in a reference book) is enough to solve the exercise. Example exercise
Level 2  Two formulas are needed, it's possible to compute an "inbetween" solution, i.e. no algebraic equation needed. Example exercise
Level 3  "Chaincomputations" like on level 2, but 3+ calculations. Still, no equations, i.e. you are not forced to solve it in an algebraic manner. Example exercise
Level 4  Exercise needs to be solved by algebraic equations, not possible to calculate numerical "inbetween" results. Example exercise
Level 5 
Level 6 
When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit its difficulty in the collection independently, without any effect on the "difficulty by default" here.
Why we use chess pieces? Well... we like chess, we like playing around with \(\LaTeX\)fonts, we wanted symbols that need less space than six stars in a tablecolumn... But in your layouts, you are of course free to indicate the difficulty of the exercise the way you want.
That being said... How "difficult" is an exercise? It depends on many factors, like what was being taught etc.
In physics exercises, we try to follow this pattern:
Level 1  One formula (one you would find in a reference book) is enough to solve the exercise. Example exercise
Level 2  Two formulas are needed, it's possible to compute an "inbetween" solution, i.e. no algebraic equation needed. Example exercise
Level 3  "Chaincomputations" like on level 2, but 3+ calculations. Still, no equations, i.e. you are not forced to solve it in an algebraic manner. Example exercise
Level 4  Exercise needs to be solved by algebraic equations, not possible to calculate numerical "inbetween" results. Example exercise
Level 5 
Level 6 
Question
Solution
Short
Video
\(\LaTeX\)
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Don't forget to subscribe to our channel, like the videos and leave comments!
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
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
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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