Phy 231
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: ->->->->->->->->->->->-> :
10 cm – 5cm = 5 cm
17 cm – 9 cm = 8 cm
a^2 + b^2 = c ^2
5 cm^2 + 8 cm^2 = 89 cm
c = 9.43 cm
9.43 cm – 7.5cm = 1.93 cm
0.7 N * 1.93 = 1.35 N
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• What is the vector from the first point to the second?
answer/question/discussion: ->->->->->->->->->->->-> :
<5 cm, 8 cm>
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• What is the magnitude of this vector?
answer/question/discussion: ->->->->->->->->->->->-> :
sqrt( 5cm^2 + 8 cm^2 ) = 9.45 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: ->->->->->->->->->->->-> :
<5 cm / 9.43 cm, 8 cm / 9.43 cm>
<0.53, 0.85>
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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: ->->->->->->->->->->->-> :
tension = 1.35 N
<0.53, 0.85> * 1.35 N
<0.72 N, 1.15 N >
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• What are the x and y components of the new vector?
answer/question/discussion: ->->->->->->->->->->->-> :
x component = 0.72 N
y component = 1.15 N
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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 anddirection.
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30 mins
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&#Very good responses. Let me know if you have questions. &#