Query 7

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course MTH 163

Oct. 21, @ 1:09 PM. See my note about randomized data.

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007. `query 7

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Self-critique (if necessary):

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Self-critique Rating:

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Question: `qquery predictions

Sketch your graph representing the predicted height of the low end vs. the weight on the spring.

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Your solution:

- The more weight applied, the more the spring stretches; the more the spring will stretch, the weaker it will become and thus stretch by a greater amount. One could surmise that this may form a stretch of the graph as well, being compared to a power function-like shape; this is because the more weight is applied the more it is stretched. But when the amount of weight increases at a steady rate while the spring becomes more and more weak, thus stretching it by a bigger degree.

confidence rating #$&*: 3

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Given Solution:

STUDENT RESPONSE:

I predict that the spring will stretch at a greater rate as the weight is added. In my experience, springs lose their strength as they are stretched, and will not go back to their original shape.

INSTRUCTOR COMMENT:

** Within their range of elasticity the graph is very nearly linear.

If stretched too far the spring will lose its permanent elastic properties and will then deviate from linearity **

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Self-critique (if necessary): “If stretched too far the spring will lose its permanent elastic properties and will then deviate from linearity”  Could you elaborate more on this statement? I think it may coincide with my previous statement, but I wanted to be sure.

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Self-critique Rating:

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You pretty much got it. Basically, if you stretch it too far you ruin the spring and all bets are off.

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Question: `qcomment on how the actual graph of the data compared with your prediction

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Your solution:

- My graph seemed linear, where I predicted it may have been power. The points I had made were (0,25), (1, 20) , (3, 11) , (5, 2). Where my y axis showed weight and x axis showed height

confidence rating #$&*:

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Given Solution:

** If you predicted a linear graph then did the actual graph confirm this? If you predicted a curvature did the actual graph confirm this? **

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Self-critique (if necessary):

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Self-critique Rating:

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Question: `qquery linked outline

discuss your experience with the Linked Outline. Did you find it helpful?

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Your solution:

- I’m sure it will come in handy for clarification. Second-best thing aside from hearing advice from the instructor.

confidence rating #$&*:

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Given Solution:

** Many students find the Linked Outline very helpful. **

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Self-critique (if necessary):

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Self-critique Rating:

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Question: `qQuery Add comments on any surprises or insights you experienced as a result of this assignment.

- Is there any sort of randomized data I could use to go through this experiment? Physically holding an experiment like this seems unlikely, as I doubt my grandfather would appreciate me stretching his screen door springs.

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As indicated at the beginning of the worksheet, you can use data from Class Notes #7. Here's a copy; consult the Class Notes for more of the context.

In-class observations of the distance below a lab table (the 'spring reading' on the graph) of a milk jug suspended from a spring, vs. the number of cups of water added to the milk jug, gave us the points

(3 cups, 44.7 cm), (6 cups, 47.8 cm), (9 cups, 52.3 cm), (12 cups, 57.2 cm), and (15 cups, 61.7 cm).

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