Physics Ch 1, 2, & 3

Physics Ch 1, 2, & 3 - Solution for Chapter 1 12. Picture...

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Solution for Chapter 1 12. Picture the Problem : This is a dimensional analysis question. Strategy: Solve the formula for k and substitute the units. Solution: 1. Solve for k : 2 22 2 4 2 square both sides: 4 or m m m T T k k k T  2. Substitute the dimensions, where [M] represents the dimension of mass: 2 [M] [T] k Insight: This unit will later be renamed “Newton/m.” The 4 2 does not contribute any dimensions. 17. Picture the Problem : This is a significant figures question. Strategy: Follow the given rules regarding the calculation and display of significant figures. Solution: 1. (a) The leading zeros are not significant: 0.0000 5 4 2. (b) The middle zeros are significant: 3 .0 0 1 ×10 5 Insight: Zeros are the hardest part of determining significant figures. Scientific notation can remove the ambiguity of whether a zero is significant because any trailing zero to the right of the decimal point is significant. 18. Picture the Problem : This is a significant figures question. Strategy: Apply the rule for multiplication of numbers, which states that the number of significant figures after multiplication equals the number of significant figures in the least accurately known quantity. Solution: 1. (a) Calculate the area and round to four significant figures:   2 2 2 2 14.37 m 648.729144 m 648.7 m Ar 2. (b) Calculate the area and round to two significant figures:   2 2 2 2 3.8 m 45.3645979 m 45 m Insight: The number is considered exact so it will never limit the number of significant digits you report in an answer. 30. Picture the Problem : This is a units conversion problem. Strategy: Multiply the known quantity by appropriate conversion factors to change the units. In this problem, one “jiffy” corresponds to the time in seconds that it takes light to travel one centimeter. Solution: 1. (a) : Determine the magnitude of a jiffy: 11 8 11 1 s 1 m s jiffy 3.3357 10 1 100 cm cm cm 2.9979 10 m 1 jiffy 3.3357 10 s     2. (b) Convert minutes to jiffys:   12 11 60 s 1 jiffy 1 minute 1.7987 10 jiffy 1 min 3.3357 10 s Insight: Conversion factors are conceptually equal to one, even though numerically they often equal something other than one. They are often helpful in displaying a number in a convenient, useful, or easy-to-comprehend fashion. 34. Picture the Problem : This is a units conversion problem. Strategy: Multiply the known quantity by appropriate conversion factors to change the units. Solution: 1. Convert m/s to ft/s: m 3.28 ft 20.0 65.6 ft/s sm
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2. (b) Convert m/s to mi/h: m 1 mi 3600 s 20.0 44.7 mi/h s 1609 m 1 h    Insight: Conversion factors are conceptually equal to one, even though numerically they often equal something other than one. They are often helpful in displaying a number in a convenient, useful, or easy-to-comprehend fashion.
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This note was uploaded on 12/02/2011 for the course PHYS 1301 taught by Professor Ordonez during the Spring '09 term at University of Houston.

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Physics Ch 1, 2, & 3 - Solution for Chapter 1 12. Picture...

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