Phy 121
Your 'cq_1_16.1' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
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A rubber band has no tension until it reaches a length of 7.5 cm. Beyond that length its tension increases by .7 Newtons for every additional centimeter of length.
• What will be its tension if its endpoints are at the points (5 cm, 9 cm) and (10 cm, 17 cm) as measured on an x-y coordinate system?
answer/question/discussion: ->->->->->->->->->->->-> :
5- tension is 0
9- tension is 1.05 Newtons
10- tension is 1.75 Newtons
17- tension is 6.65 Newtons
#$&*
• What is the vector from the first point to the second?
answer/question/discussion: ->->->->->->->->->->->-> :
4 cm (positive)
7 cm (positive)
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• What is the magnitude of this vector?
answer/question/discussion: ->->->->->->->->->->->-> :
4 cm
&
7 cm
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• What vector do you get when you divide this vector by its magnitude? (Specify the x and y components of the resulting vector).
answer/question/discussion: ->->->->->->->->->->->-> :
The vector is 1.
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• The new vector should have magnitude 1. When you divide a vector by its magnitude the result is a vector with magnitude 1. We call a vector of magnitude 1 a unit vector. What vector do you get when you multiply this new vector (i.e., the unit vector) by the tension?
answer/question/discussion: ->->->->->->->->->->->-> :
#$&*
• What are the x and y components of the new vector?
answer/question/discussion: ->->->->->->->->->->->-> :
#$&*
This new vector is called the tension vector. It is a force vector which represents the tension. A force vector can be specified by its components, or equivalently by its magnitude and direction.
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15 min
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I was very confused by this set of questions. I didn't understand which vectors you wanted us to calculate. I didn't understand which tension you wanted us to use.
Please compare your solutions with the expanded discussion at the link
Solution
Self-critique your solutions, if this is necessary, according to the usual criteria. Insert any revisions, questions, etc. into a copy of this posted document. Mark any insertions with &&&& so they can be easily identified.