OLD FINAL2 08

# OLD FINAL2 08 - oldfinal 02 – VALENCIA DANIEL – Due May...

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Unformatted text preview: oldfinal 02 – VALENCIA, DANIEL – Due: May 6 2008, 4:00 am 1 Question 1, chap 1, sect 6. part 1 of 1 10 points Needing help, the secretary of the United States Department of Agriculture asked your teacher, “If a chicken-and-a- half can lay an egg-and-a-half in a day- and-a-half, how many days will it take three chickens to lay thirty-two eggs?” Please help your teacher select the correct answer to the secretary’s question. 1. Three chickens will lay thirty-two eggs in twenty days. 2. Three chickens will lay thirty-two eggs in eighteen days. 3. Three chickens will lay thirty-two eggs in sixteen days. correct 4. Three chickens will lay thirty-two eggs in nine days. 5. Three chickens will lay thirty-two eggs in twenty-four days. 6. Three chickens will lay thirty-two eggs in ten days. 7. Three chickens will lay thirty-two eggs in six days. 8. Three chickens will lay thirty-two eggs in fifteen days. 9. Three chickens will lay thirty-two eggs in twelve days. 10. Three chickens will lay thirty-two eggs in twenty-two days. Explanation: Basic Concept: The information given in the question is the rate of egg production in one instance and you must make this rate compatible with another instance. The rate of egg production is constant. The number of eggs per chicken per day is a constant. Solution: Since it takes a chicken-and-a-half a day-and-a-half to lay an egg-and-a-half, it will take one chicken one-and-a-half days to lay one egg. Therefore, to lay thirty-two eggs it will take three chickens sixteen days. Alternative Method: Unit analysis is basic to every physics problem and is central to this problem. The rate of egg production is the number of eggs produced per chicken per day. In the given instance the rate is rate = { 3 / 2 eggs } { 3 / 2 chickens } { 3 / 2 days } = 2 3 eggs chickens · days . (1) In the requested instance, the number of chickens is (3 chickens) and the number of eggs is (32 eggs). The number of days N is to be determined. Therefore in the requested instance, the rate is rate = { 32 eggs } { 3 chickens } {N} . (2) The rate is constant, so equating the rates Eqs. (1) and (2), we have 2 eggs 3 chicken · days = 32 eggs 3 chickens · N Solving for the number of days N , we have N = 32 eggs 3 chickens 3 chickens · days 2 eggs = 16 days . The correct answer: “Three chickens will lay thirty-two eggs in sixteen days.” Note: The early chicken catches the worm. Question 2, chap 14, sect 3. part 1 of 1 10 points A weight (with a mass of 37 kg) is sus- pended from a point near the right-hand up- per end of a uniform boom whose mass is oldfinal 02 – VALENCIA, DANIEL – Due: May 6 2008, 4:00 am 2 20 kg . Supporting this boom are a cable run- ing from this same point on the boom to a point on the wall (the left-hand vertical coor- dinate at a height of 10 m) and a pivot (at the origin of the coordinate axes) on the same wall....
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OLD FINAL2 08 - oldfinal 02 – VALENCIA DANIEL – Due May...

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