A child attaches a rubber ball to a string and whirls it ar…

 A child attaches a rubber ball to a string and whirls it around in a circle overhead. If the string is 0.5 m long and the ball’s speed is 1.2 m/s, what is the ball’s centripetal acceleration?                                       (1.5 points)   (b)          A 60 kg child is seated 1.35 m away from the axis of rotation of a merry-go-round at an amusement park, which spins in a circular motion. If the child’s acceleration around the circle is 16.4 m/s², what is the constant speed at which the child travels on the merry-go-round?                                                                 (1.5 points)             (c).         Why is an object moving round a circle at a constant speed said to be accelerating? Explain your reasoning.                                                                                                                                                                          (2.0 points) (d).         A simple pendulum oscillates 35 times every 12 s. What are the frequency and period of oscillation of the pendulum?                                                                                                                                           (2.5 points)  

Essay Question Instructions: Make sure you show all work on…

Essay Question Instructions: Make sure you show all work on the five essay questions on scratch paper. Upload a PDF of your written work to the Canvas Upload module immediately after you finish the test. Most of the points are awarded based on your written work, not the final answer that you submit to each question. Essay Question 3: Four friends are starting a business with the goal to provide food and beverages to individuals down on their luck. To help with startup costs for the business, each of them contributed some money to the project. Schmidt contributed $190,000. Winston contributed $100,000. Jess contributed $50,000. Nick contributed $40,000. To make decisions as a group, they instituted a weighted voting system where they each get one vote for each $10,000 contributed.  (A) Describe this situation with weighted voting system notation using a simple majority quota. (B) Write out all the winning coalitions. Underline the critical player(s). (C) Find the critical counts for each player. (D) Calculate the Banzhaf power distribution of this weighted voting system. (E) Is Nick a dummy?

Essay Question Instructions: Make sure you show all work on…

Essay Question Instructions: Make sure you show all work on the five essay questions on scratch paper. Upload a PDF of your written work to the Canvas Upload module immediately after you finish the test. Most of the points are awarded based on your written work, not the final answer that you submit to each question. Essay Question 2: The vote tally of ranked ballots for a slate of four candidates is as follows: Rank 24 voters 19 voters 17 voters 15 voters 12 voters 4 voters First choice Ivette Jorge Kara Lance Ivette Lance Second choice Kara Kara Jorge Jorge Jorge Kara Third choice Jorge Lance Ivette Kara Kara Ivette Fourth choice Lance Ivette Lance Ivette Lance Jorge (A) Who is the plurality winner?  (B) Who is the Borda count winner? (C) Who is the pairwise comparison winner?  (D) After examining the results from these three methods, who do you feel should win the election. Explain using complete sentences.