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Phy 241
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: ->->->->->->->->->->->-> :
The length would be sqrt((x2-x1)^2+(y2-y1)^2)=sqrt(25+64)=9.4cm So the tension would be (9.4cm-7.5cm)*.7N/cm=1.33N
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• What is the vector from the first point to the second?
answer/question/discussion: ->->->->->->->->->->->-> :
The vector would be x=x2-x1 and y=y2-y1 so it would be (5cm, 8cm)
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• What is the magnitude of this vector?
answer/question/discussion: ->->->->->->->->->->->-> :
The magnitude is sqrt(x^2+y^2)=9.4cm
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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: ->->->->->->->->->->->-> :
This would be (5cm/9.4cm, 8cm/9.4cm) which is (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: ->->->->->->->->->->->-> :
This would be (.53*1.33N. .85*1.33N) or (.70N, 1.13N)
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• What are the x and y components of the new vector?
answer/question/discussion: ->->->->->->->->->->->-> :
The x component is .7N and the y component is 1.13N
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&#Very good responses. Let me know if you have questions. &#