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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: ->->->->->->->->->->->-> :
change in x = 10-5 = 5 cm
change in y = 17-9 = 8 cm
Pythagreon = 5^2 + 8^2 = Hypt.^2
hypt = 9.43 cm
9.43 - 7.5 = 1.93 cm
1.93 cm * (0.7 N / 1 cm) = 1.35 N
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What is the vector from the first point to the second?
answer/question/discussion: ->->->->->->->->->->->-> :
The resultant of the x and y components.
<5,8>
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What is the magnitude of this vector?
answer/question/discussion: ->->->->->->->->->->->-> :
9.43 cm
direction = tan^-1 (8/5) = 58 degrees
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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: ->->->->->->->->->->->-> :
unit vector
<5/9.43,8/9.43> = <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: ->->->->->->->->->->->-> :
1.35 * <0.53,0.85>
= <0.72 N, 1.15 N>
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What are the x and y components of the new vector?
answer/question/discussion: ->->->->->->->->->->->-> :
<0.72 N, 1.15 N>
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*#&!
&#Good responses. Let me know if you have questions. &#