If you weigh 660 {rm N} on the earth, what would be your weight on the surface of a neutron star that has the same mass as our sun and a diameter of 25.0 {rm km}? Take the mass of the sun to be m_s = 1.99×1030 {rm kg}, the gravitational constant to be G = 6.67×10−11 {rm N} cdot {rm m^2/kg^2}, and the acceleration due to gravity at the earth’s surface to be g = 9.810 {rm m/s^2}.

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If your course grade in ECN 311 was determined based on one midterm exam and one final exam, where the final exam is weighted twice as heavily as the midterm, what would your indifference curves between the two exams look like? Write down an equation for a possible utility function. (Assume that you only care about your overall course grade.)

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If you were to search in Google for “images for differential pay between men and women,” myriad charts would come up supporting the contention that “women earn seventy-seven cents for every dollar that men earn for doing the same work with the same level of training and education.” This fundamental inequity is indicative of one form of oppression. The films assigned this week explore several. Choose one social drama from the list below. Put the title of the film at the top of your submission and the names of the main characters just below, each with a one-sentence description. Describe: whose story it is; the situation in which the protagonist(s) find(s) herself/themselves; what complications ensue; what is the outcome; and what purpose the film serves (150 words). Next, do a close reading (350 words) of one scene (a series of shots united by time and place that, taken together, form a scene) that causes a strong reaction in you. Describe what cinematic techniques (camera movement and/or angle, editing, lighting, set, casting, sound, composition, etc.–elements not to be confused with actions and plot) the director employs to engender a strong response in you. What, upon further reflection, do you think his or her purpose and hope in exploring this material? Try to stay as much as possible within the word limit. Concision is always more impressive (and harder) than wordiness.

 Dodes’Ka Den (Japan, 1970) *

 Even the Rain / También la lluvia (Spain, 2010) * 

The House Is Black (Iran, 1962) Water (India, 2005) *

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If you were to open a business, what form of business organization would you use, and why?

If you were to open a business, what form of business organization would you use, andwhy?Solution: The three principal forms are corporations, partnerships and sole proprietorships. Thedecision…

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If you were to do the complete solution for pendulum motion, where sin θ is included, you would find the following corrected formula: T = 2π /g(1 + θ2 max/16 + · · · ), where θmax is the maximum angle of the pendulum’s swing in radians, and the · · · are even smaller terms that we can ignore. Compute the simple and the corrected value for T for 10, 20, and 60 degree maximum angle swings for a 1 m pendulum.

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