Chapter 1: Problem 1
What is physics?
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
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Chapter 1: Problem 1
What is physics?
These are the key concepts you need to understand to accurately answer the question.
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What determines the validity of a theory?
In SI units, speeds are measured in meters per second (m/s). But, depending on where you live, you're probably more comfortable of thinking of speeds in terms of either kilometers per hour ( \(\mathrm{km} / \mathrm{h}\) ) or miles per hour (mi/h). In this problem, you will see that \(1 \mathrm{m} / \mathrm{s}\) is roughly \(4 \mathrm{km} / \mathrm{h}\) or \(2 \mathrm{mi} / \mathrm{h}\), which is handy to use when developing your physical intuition. More precisely, show that (a) \(1.0 \mathrm{m} / \mathrm{s}=3.6 \mathrm{km} / \mathrm{h}\) and \((\mathrm{b}) 1.0 \mathrm{m} / \mathrm{s}=2.2 \mathrm{mi} / \mathrm{h}\)
When nonmetric units were used in the United Kingdom, a unit of mass called the pound-mass (lbm) was used, where \(1 \mathrm{lbm}=0.4539 \mathrm{kg} .\) (a) If there is an uncertainty of \(0.0001 \mathrm{kg}\) in the pound-mass unit, what is its percent uncertainty? (b) Based on that percent uncertainty, what mass in pound-mass has an uncertainty of \(1 \mathrm{kg}\) when converted to kilograms?
Can the validity of a model be limited or must it be universally valid? How does this compare with the required validity of a theory or a law?
Perform the following calculations and express your answer using the correct number of significant digits. (a) A woman has two bags weighing 13.5 lb and one bag with a weight of 10.2 lb. What is the total weight of the bags? (b) The force \(F\) on an object is equal to its mass \(m\) multiplied by its acceleration \(a\). If a wagon with mass 55 kg accelerates at a rate of \(0.0255 \mathrm{m} / \mathrm{s}^{2}\), what is the force on the wagon? (The unit of force is called the newton and it is expressed with the symbol N.)
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