Hg-Ballon
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 table-column... 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 "in-between" solution, i.e. no algebraic equation needed. Example exercise
Level 3 - "Chain-computations" 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 "in-between" 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 table-column... 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 "in-between" solution, i.e. no algebraic equation needed. Example exercise
Level 3 - "Chain-computations" 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 "in-between" results. Example exercise
Level 5 -
Level 6 -
Question
Solution
Short
Video
\(\LaTeX\)
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Exercise:
Ein Ballon vernachlässigbare Masse werde mit gram Quecksilber rho_textHg .^kg/m^ gefüllt. Bestimmen Sie die Luftmenge V_L welche Sie noch in den Ballon füllen müssen damit er im Wasser zu schweben nt. rho_W kg/m^ rho_L .kg/m^
Solution:
Damit der Ballon schwebt müssen die Gewichtskraft und der Auftrieb gleich sein d.h. F_g F_A. Somit gilt F_g m_totg rho_W g V_tot F_A. Mit m_tot m_textHg + m_L V_tot V_textHg + V_L und m_L rho_L V_L erhalten wir m_textHg + rho_L V_L rho_W V_textHg + V_L Rightarrow V_L fracm_textHg-rho_W/rho_textHgrho_W -rho_L approx centim^. Da rho_L auch vernachlässigbar ist kann man das ganze noch weiter vereinfachen es gibt: V_L approx m_textHg fracrho_textHg-rho_Wrho_textHgrho_W approx centim^.
Ein Ballon vernachlässigbare Masse werde mit gram Quecksilber rho_textHg .^kg/m^ gefüllt. Bestimmen Sie die Luftmenge V_L welche Sie noch in den Ballon füllen müssen damit er im Wasser zu schweben nt. rho_W kg/m^ rho_L .kg/m^
Solution:
Damit der Ballon schwebt müssen die Gewichtskraft und der Auftrieb gleich sein d.h. F_g F_A. Somit gilt F_g m_totg rho_W g V_tot F_A. Mit m_tot m_textHg + m_L V_tot V_textHg + V_L und m_L rho_L V_L erhalten wir m_textHg + rho_L V_L rho_W V_textHg + V_L Rightarrow V_L fracm_textHg-rho_W/rho_textHgrho_W -rho_L approx centim^. Da rho_L auch vernachlässigbar ist kann man das ganze noch weiter vereinfachen es gibt: V_L approx m_textHg fracrho_textHg-rho_Wrho_textHgrho_W approx centim^.
Meta Information
Exercise:
Ein Ballon vernachlässigbare Masse werde mit gram Quecksilber rho_textHg .^kg/m^ gefüllt. Bestimmen Sie die Luftmenge V_L welche Sie noch in den Ballon füllen müssen damit er im Wasser zu schweben nt. rho_W kg/m^ rho_L .kg/m^
Solution:
Damit der Ballon schwebt müssen die Gewichtskraft und der Auftrieb gleich sein d.h. F_g F_A. Somit gilt F_g m_totg rho_W g V_tot F_A. Mit m_tot m_textHg + m_L V_tot V_textHg + V_L und m_L rho_L V_L erhalten wir m_textHg + rho_L V_L rho_W V_textHg + V_L Rightarrow V_L fracm_textHg-rho_W/rho_textHgrho_W -rho_L approx centim^. Da rho_L auch vernachlässigbar ist kann man das ganze noch weiter vereinfachen es gibt: V_L approx m_textHg fracrho_textHg-rho_Wrho_textHgrho_W approx centim^.
Ein Ballon vernachlässigbare Masse werde mit gram Quecksilber rho_textHg .^kg/m^ gefüllt. Bestimmen Sie die Luftmenge V_L welche Sie noch in den Ballon füllen müssen damit er im Wasser zu schweben nt. rho_W kg/m^ rho_L .kg/m^
Solution:
Damit der Ballon schwebt müssen die Gewichtskraft und der Auftrieb gleich sein d.h. F_g F_A. Somit gilt F_g m_totg rho_W g V_tot F_A. Mit m_tot m_textHg + m_L V_tot V_textHg + V_L und m_L rho_L V_L erhalten wir m_textHg + rho_L V_L rho_W V_textHg + V_L Rightarrow V_L fracm_textHg-rho_W/rho_textHgrho_W -rho_L approx centim^. Da rho_L auch vernachlässigbar ist kann man das ganze noch weiter vereinfachen es gibt: V_L approx m_textHg fracrho_textHg-rho_Wrho_textHgrho_W approx centim^.
Contained in these collections:
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Auftrieb 2 by uz