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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: ->->->->->->->->->->->-> :
1st = (9 cm - 5 cm) = 4 cm
2nd = (17 cm - 10 cm) = 7 cm
No tension
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@& The length of this rubber band would be sqrt((4 cm)^2 + (7 cm)^2) = sqrt(65 cm^2) = 8 cm, approx..
So it would have tension.*@
• What is the vector from the first point to the second?
answer/question/discussion: ->->->->->->->->->->->-> :
7 cm - 4 cm = 3 cm
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@& The vector from the first point to the second has x component 4 cm and y component 7 cm. *@
• What is the magnitude of this vector?
answer/question/discussion: ->->->->->->->->->->->-> :
3
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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: ->->->->->->->->->->->-> :
3 cm / 3 = 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: ->->->->->->->->->->->-> :
1 * 0 = 0
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• What are the x and y components of the new vector?
answer/question/discussion: ->->->->->->->->->->->-> :
(1, 0)
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*#&!
@&
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Then please compare your old and new solutions with the expanded discussion at the link
Solution
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