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: These coordinates give us a 'ds = 'sqrt [ (10 cm – 5 cm) ^2 + ( 17 cm – 9 cm)^2] = 'sqrt (5^2 + 8^2) = 'sqrt ( 99 ) = 9.95 cm. With 'ds known we can find (.7 N/ cm) * (9.95 cm – 7.5 cm) = 1.715 N
What is the vector from the first point to the second?
answer/question/discussion: We find the angle of this vector to be arctan [ ( 17 cm – 9 cm) / (10 cm – 5 cm)] = 57.99 degrees. I'm not sure what you are looking for here since you didn't specify magnitude or direction of vector
What is the magnitude of this vector?
answer/question/discussion: The magnitude is 9.95 cm the same as the 'ds found earlier if you are looking for the magnitude by distance; however, if it is force you are looking for then it would be the the 1.715 N.
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:
What vector do you get when you multiply this new vector by the tension?
answer/question/discussion:
What are the x and y coordinates of the new vector?
answer/question/discussion:
At the point of the second question you asked for a vector, but didn't specify if you wanted the magnitude or direction of the vector or both, and from this point on I am uncertain as to what you are referring to. I understand vectors, but I am confused about the specific question here. What I mean by this is if I am given the components I can find the direction and magnitude of a vector, and I can find the components from the a single direction and magnitude or by combining sets of vectors for either of these; however, in this case I am uncertain exactly what it is you are wanting me to find.
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20 minutes
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A vector consists of a magnitude and a direction, so your response to the question 'what is the vector' should have included both, making the subsequent question about the magnitude redundant.
In any case you understand this and answered the question correctly.