Physics 101 Fall 2009 Notes & Homework Solutions

Physics 101 Fall 2009 Notes & Homework Solutions -...

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Chapter 1 2. Picture the Problem : This is simply a units conversion problem. Strategy: Multiply the given number by conversion factors to obtain the desired units. Solution: (a) Convert the units: 6 5 1.0 10 m 70 m 7.0 10 m m μ - - × × = × (b) Convert the units again: 6 8 1.0 10 m 1 km 70 m 7.0 10 km m 1000 m - - × × × = × Insight: The inside back cover of the textbook has a helpful chart of the metric prefixes. 6. Picture the Problem : This is a dimensional analysis question. Strategy: Manipulate the dimensions in the same manner as algebraic expressions. Solution: Substitute dimensions for the variables: 2 2 2 [L] [L][T] [T] [T] [T] therefore 2 p p p a xt p - = = = = - Insight: The number 2 does not contribute any dimensions to the problem. 14. 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 has 2 significant figures 2. (b) The middle zeros are significant: 3 .0 0 1 ×10 5 has 4 significant figures 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 units conversion problem. Strategy: Multiply the known quantity by appropriate conversion factors to change the units. Solution: 1. Find the length in feet: ( 29 17.7 in 1 ft 2.5 cubit 3.68 ft 1 cubit 12 in  = ÷ ÷  2. Find the width and height in feet: ( 29 17.7 in 1 ft 1.5 cubit 2.21 ft 1 cubit 12 in  = ÷ ÷  3. Find the volume in cubic feet: ( 29 ( 29 ( 29 3 3.68 ft 2.21 ft 2.21 ft 18 ft V LWH = = = Insight: Conversion factors are conceptually equal to one, even though numerically they often equal something other than one. 30. Picture the Problem : This is a units conversion problem.
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Physics 101 Fall 2009 Notes & Homework Solutions -...

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