Phy231
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.
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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: ->->->->->->->->->->->-> :
0N,1.05N 1.75N,6.65N
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What is the vector from the first point to the second?
answer/question/discussion: ->->->->->->->->->->->-> :
x=1.75N-0N=1.75N y=6.65N-1.05N=5.6N
vector='sqrt(1.75N^2+5.6N^2)='sqrt(34.42)=5.87N
The vector is specified by its magnitude and angle, or by its two components.
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What is the magnitude of this vector?
answer/question/discussion: ->->->->->->->->->->->-> :
magn='sqrt(1.75N^2+5.6N^2)='sqrt(34.42)=5.87N
Are the vector and the magnitude the same things?
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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: ->->->->->->->->->->->-> :
5.87N/5.87N=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: ->->->->->->->->->->->-> :
.7
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What are the x and y components of the new vector?
answer/question/discussion: ->->->->->->->->->->->-> :
How do I find these without an angle?
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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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20min
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5/14/10 2pm
&#Please compare your solutions with the expanded discussion at the link
Solution
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