I work through 5 examples of application of vectors. NOTE: In the last example I state the wind speed is 27 mph, but then use a wind speed of 10 mph in my problem. I added annotations over the written example but you will not see this on your iPad or iPhone.
The angle Theta in the work formula of the first example is "The difference between the angle the force is being applied and the direction of the work."
Because I am just a math teacher and not a science teacher, I learned something from a viewer/teacher I am guessing. Here is there reply...
I liked your video.
However, a couple of comments are warranted.
Force and energy are not the same thing and should not be used interchangeably. In fact, the vertical component of the force exerted on the handle of your wagon imparts no energy on the wagon. In fact, it doesn't even do any work on the wagon. Thus there is NO waste of energy.
This gets complicated. For instance, if a person is holding a couple of five pound buckets away from her body, she will soon tire and have to quit holding them up.
She is not doing any work on the buckets by holding them up, as work is force times distance. If the buckets don't move, no distance is travelled by the forces and no work is done. She is exerting a force, but the forces are static.
Energy and work have the same units. If no work is done, no energy is expended. Yet if you ask her if she did any work, she will say duh, to exhaustion.
Be careful with using humans in your physics problems.
Check out http://www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at http://www.mathplane.com
Tagged under: vector,vectors,application,word,problem,problems,magnitude,direction,horizontal,vertical,components,tarrou,tarrou',chalk,talk,profrobbob,math,education,trigonometry,precalculus,examples
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