#$&*
phy 121
Your 'cq_1_16.1' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
** **
A rubber band has no tension until it reaches a length of 7.5 cm. Beyond that length its tension increases by .7 Newtons for every additional centimeter of length.
• What will be its tension if its endpoints are at the points (5 cm, 9 cm) and (10 cm, 17 cm) as measured on an x-y coordinate system?
answer/question/discussion: ->->->->->->->->->->->-> :
This doesn’t seem right but if a rubber band has one end at 5cm and the other end is at 9cm the rubber band is being stretched a distance of 4cm, which would have no tension, and following the same logic for the second set of coordinates we would see a length of 7cm, also no tension.
#$&*
@&
(5 cm, 9 cm) are the x and y coordinates of one end, and (10 cm, 17 cm) the coordinates of the other.
From these coordinates and the Pythagorean Theorem you would find the length, which would be greater than 7.5 cm.
*@
• What is the vector from the first point to the second?
answer/question/discussion: ->->->->->->->->->->->-> :
This would be a displacement vector
#$&*
• What is the magnitude of this vector?
answer/question/discussion: ->->->->->->->->->->->-> :
4cm and 7cm
#$&*
@&
This are the horizontal and vertical components of the vector.
What therefore is its magnitude?
*@
• 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: ->->->->->->->->->->->-> :
Force vector?
#$&*
@&
If a vector had magnitude, say, 9 then when you divided it by its magnitude 9, you would get a vector of magnitude 1.
We call this a unit vector.
*@
• The new vector should have magnitude 1. When you divide a vector by its magnitude the result is a vector with magnitude 1. We call a vector of magnitude 1 a unit vector. What vector do you get when you multiply this new vector (i.e., the unit vector) by the tension?
answer/question/discussion: ->->->->->->->->->->->-> :
0.7n
#$&*
• What are the x and y components of the new vector?
answer/question/discussion: ->->->->->->->->->->->-> :
x = 1cm
y = 0.7N
Usually when we’re talking about tension of rubber bands we have a graph of force vs. displacement, both of which are vectors. The force vector would be on the y axis and the displacement vector on the x axis. As too how the two are related in terms of magnitude and gaining one vector from another using the magnitude of either or,I still have some work to do.
#$&*
*#&!
@&
You're missing the first step, which is to find the length of the rubber band (which is the distance between the two points).
Check my notes and work through the questions one at a time.
Then simply resubmit.
*@
*#&!*#&!
@&
*@