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phy121
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: ->->->->->->->->->->->-> :
sqrt((5-10cm)^2+(9-17cm)^2)
Sqrt(25cm+64cm)
9.43cm
9.43cm-7.5cm= 1.93cm
1.93cm* 0.7N= 1.35N/cm
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• What is the vector from the first point to the second?
answer/question/discussion: ->->->->->->->->->->->-> :
The vector is ((10-5),(17-9)) which is 5cm in the X direction and 8cm in the Y direction.
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• What is the magnitude of this vector?
answer/question/discussion: ->->->->->->->->->->->-> :
9.43cm, calculated above using the pathegrem theorem.
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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: ->->->->->->->->->->->-> :
5cm, 8cm/ 9.43cm
5cm/9.43cm, 8cm/9.43cm
0.53 in the X direction and 0.85 in the Y direction
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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: ->->->->->->->->->->->-> :
You get a new vector because you are multiplying a scalar quantity by a vector quantity. The new magnitude is 1.33
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• What are the x and y components of the new vector?
answer/question/discussion: ->->->->->->->->->->->-> :
1.33N*0.53= 0.705 in the X direction
1.33N*0.85= 1.13 in the Y direction
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*#&!
&#Very good responses. Let me know if you have questions. &#