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Phy 201
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?
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ill try Pythagorean theorem to find the hypotenuse, the distance of the line
slope would be 8 / 5
8^2 + 5^2 = c^2
C^2 = 89, so the length = 9.43cm
9.43cm - 7.5cm = 1.93cm = .0193m
.0193m * 0.7N = .01351 Joules = Tension
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You get 0.7 N for every centimeter, not for every meter. So you would be 1.35 Joules.
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What is the vector from the first point to the second?
answer/question/discussion: ->->->->->->->->->->->-> :
the slope? Or the triangle I made out of the slope in the first problem
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What is the magnitude of this vector?
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the area of the triangle?
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The vector from the first point to the second is an arrow from that point to the second.
Its magnitude is its 9.43 cm length.
Its angle is found using the arctangent (see Introductory Problem Set 5, where this is explained).
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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).
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just dont know what vectors are or anything about how to do these problems
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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?
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What are the x and y components of the new vector?
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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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10 minutes
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Check out Introductory Problem Set 5, then return to this sequence of questions. Most of the questions aren't difficult, but you do need that information.
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