Asteroid
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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Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
An asteroid of mass pq.ekg travelling at a speed of pqk relative to the Earth hits the Earth at the equator tangentially and in the direction of Earths rotation. Use angular momentum to estimate the percent change in the angular speed of the Earth as a result of the collision.
Solution:
Angular momentum will be conserved in the Earth-Asteroid system. Asing the asteroid becomes embedded in the Earth at the surface the Earth and the asteroid will have the same angular velocity after the collision. If we ase the Earth to be an ideal sphere and the asteroid to be a po mass we get: L_ L_ I_EarthIndex omega_EarthIndex + I_a omega_a I_EarthIndex + I_a omega The percent change in the angular speed of the Earth omega_EarthIndex is therefore: fracomega-omega_EarthIndexomega_EarthIndex fracI_a omega_aI_EarthIndex omega_EarthIndex fracm_a r_EarthIndex^ fracv_ar_EarthIndexfrac m_EarthIndexr_EarthIndex^ omega_EarthIndex numpr. That is numpr.% hence no change to notice.
An asteroid of mass pq.ekg travelling at a speed of pqk relative to the Earth hits the Earth at the equator tangentially and in the direction of Earths rotation. Use angular momentum to estimate the percent change in the angular speed of the Earth as a result of the collision.
Solution:
Angular momentum will be conserved in the Earth-Asteroid system. Asing the asteroid becomes embedded in the Earth at the surface the Earth and the asteroid will have the same angular velocity after the collision. If we ase the Earth to be an ideal sphere and the asteroid to be a po mass we get: L_ L_ I_EarthIndex omega_EarthIndex + I_a omega_a I_EarthIndex + I_a omega The percent change in the angular speed of the Earth omega_EarthIndex is therefore: fracomega-omega_EarthIndexomega_EarthIndex fracI_a omega_aI_EarthIndex omega_EarthIndex fracm_a r_EarthIndex^ fracv_ar_EarthIndexfrac m_EarthIndexr_EarthIndex^ omega_EarthIndex numpr. That is numpr.% hence no change to notice.
Meta Information
Exercise:
An asteroid of mass pq.ekg travelling at a speed of pqk relative to the Earth hits the Earth at the equator tangentially and in the direction of Earths rotation. Use angular momentum to estimate the percent change in the angular speed of the Earth as a result of the collision.
Solution:
Angular momentum will be conserved in the Earth-Asteroid system. Asing the asteroid becomes embedded in the Earth at the surface the Earth and the asteroid will have the same angular velocity after the collision. If we ase the Earth to be an ideal sphere and the asteroid to be a po mass we get: L_ L_ I_EarthIndex omega_EarthIndex + I_a omega_a I_EarthIndex + I_a omega The percent change in the angular speed of the Earth omega_EarthIndex is therefore: fracomega-omega_EarthIndexomega_EarthIndex fracI_a omega_aI_EarthIndex omega_EarthIndex fracm_a r_EarthIndex^ fracv_ar_EarthIndexfrac m_EarthIndexr_EarthIndex^ omega_EarthIndex numpr. That is numpr.% hence no change to notice.
An asteroid of mass pq.ekg travelling at a speed of pqk relative to the Earth hits the Earth at the equator tangentially and in the direction of Earths rotation. Use angular momentum to estimate the percent change in the angular speed of the Earth as a result of the collision.
Solution:
Angular momentum will be conserved in the Earth-Asteroid system. Asing the asteroid becomes embedded in the Earth at the surface the Earth and the asteroid will have the same angular velocity after the collision. If we ase the Earth to be an ideal sphere and the asteroid to be a po mass we get: L_ L_ I_EarthIndex omega_EarthIndex + I_a omega_a I_EarthIndex + I_a omega The percent change in the angular speed of the Earth omega_EarthIndex is therefore: fracomega-omega_EarthIndexomega_EarthIndex fracI_a omega_aI_EarthIndex omega_EarthIndex fracm_a r_EarthIndex^ fracv_ar_EarthIndexfrac m_EarthIndexr_EarthIndex^ omega_EarthIndex numpr. That is numpr.% hence no change to notice.
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