PHY 2201 Answer The Following Questions
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PHY 2201 Answer The Following Questions
Physics 2201 Fall 2015 Please write solutions on separate paper (not on the question sheet). Homework I Part 1 Due Tuesday September 8, 2015 10 points each Show all work. Draw diagrams and explain answers as needed. Partial credit is available. 1) A large storage tank holds 2900 m3 of a liquid mixture that has 112% of the density of water. The tank is in an empty warehouse with 40,000 ft2 of empty floor space. If over a weekend the tank leaks and empties on to the floor: a) How deep is the liquid on Monday morning? b) The liquid gets pumped out and carried away by trucks that can carry 9000 kg of liquid each. How many truck loads are required? 2) The large sheet of ice diagrammed below has uniform thickness h=28.5 m and a mass of 2.25 x 108 kg. Its identical upper and lower surfaces each have area A and are flat with irregular outlines. a) Determine the area A. (Look up the density of ice.) b) If the same ice sheet were in the shape of a cube, what would be the length of each side of the cube?
3) The Earth is approximately spherical in shape with a radius of 6.4 x 106 m. Approximately 70% of the surface area of Earth is ocean and the average depth of Earth’s oceans is 1 mile (order of magnitude). a) Use the above information to determine the total volume of seawater on the Earth1 in cubic meters. Determine the mass of seawater on Earth based on your volume calculation. b) Determine the volume of the Earth. What fraction of the Earth is seawater, by volume? What fraction of the Earth is seawater, by mass? Why do these fractions differ? c) Recall the activity we performed in class using eyedroppers. Use a round number estimate of the number of drops per milliliter to estimate the number of drops of water in the oceans. 1 The volume of a spherical shell of thickness h covering the surface of a sphere of radius R is given approximately by
�
4πR2h. The approximation is very accurate as long as
�
h << R.
PHY 2201 page 2
4) Imagine a cylindrically shaped object with diameter D and height (length) h.
a)
�
h D
= 0.7 for the given values. Someone makes a scale model of the object that is either larger
or smaller than the actual cylinder. If the scale model is to look like the actual cylinder how must the quantities h and D be related for the scale model? Explain your reasoning2. b) Describe how h and D would have to be related if the cylinder changed size and the rescaled cylinder was distorted so that it was narrower and stretched vertically compared to the original? Repeat for a rescaled cylinder that was distorted so that it was wider and squished vertically. Explain your reasoning in each case. Don’t make up values for D and h. There are an infinite number of possibilities in each case, but these questions have definite answers. c) Sketch on the same set of axes (no need for graph paper) three linear functions: one describing how h is related to D for rescaled cylinders that are not distorted, a second describing the stretched vertically cylinders, and a third describing the squished cylinders. Describe the slope and intercept of each line.
2 Hint: If someone took a picture of the cylinder, the cylinder in the picture could be larger or smaller than the actual object. How would h and D have to related so there was no distortion?
PHY 2201 Answer The Following Questions
RUBRIC
Excellent Quality
95-100%
Introduction 45-41 points
The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned.
Literature Support
91-84 points
The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned.
Methodology
58-53 points
Content is well-organized with headings for each slide and bulleted lists to group related material as needed. Use of font, color, graphics, effects, etc. to enhance readability and presentation content is excellent. Length requirements of 10 slides/pages or less is met.
Average Score
50-85%
40-38 points
More depth/detail for the background and significance is needed, or the research detail is not clear. No search history information is provided.
83-76 points
Review of relevant theoretical literature is evident, but there is little integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are included. Summary of information presented is included. Conclusion may not contain a biblical integration.
52-49 points
Content is somewhat organized, but no structure is apparent. The use of font, color, graphics, effects, etc. is occasionally detracting to the presentation content. Length requirements may not be met.
Poor Quality
0-45%
37-1 points
The background and/or significance are missing. No search history information is provided.
75-1 points
Review of relevant theoretical literature is evident, but there is no integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are not included in the summary of information presented. Conclusion does not contain a biblical integration.
48-1 points
There is no clear or logical organizational structure. No logical sequence is apparent. The use of font, color, graphics, effects etc. is often detracting to the presentation content. Length requirements may not be met
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