cq_1_161

Phy 121

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: ->->->->->->->->->->->-> :

5- tension is 0

9- tension is 1.05 Newtons

10- tension is 1.75 Newtons

17- tension is 6.65 Newtons

#$&*

• What is the vector from the first point to the second?

answer/question/discussion: ->->->->->->->->->->->-> :

4 cm (positive)

7 cm (positive)

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• What is the magnitude of this vector?

answer/question/discussion: ->->->->->->->->->->->-> :

4 cm

&

7 cm

#$&*

• 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: ->->->->->->->->->->->-> :

The vector is 1.

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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: ->->->->->->->->->->->-> :

#$&*

• What are the x and y components of the new vector?

answer/question/discussion: ->->->->->->->->->->->-> :

#$&*

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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15 min

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I was very confused by this set of questions. I didn't understand which vectors you wanted us to calculate. I didn't understand which tension you wanted us to use.

&#Please compare your solutions with the expanded discussion at the link

Solution

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