Chapter 1: Problem 7
Identify some advantages of metric units.
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Chapter 1: Problem 7
Identify some advantages of metric units.
These are the key concepts you need to understand to accurately answer the question.
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Consider the equation \(y=m t+b,\) where the dimension of \(y\) is length and the dimension of \(t\) is time, and \(m\) and \(b\) are constants. What are the dimensions and SI units of (a) \(m\) and (b) \(b\) ?
The following times are given in seconds. Use metric prefixes to rewrite them so the numerical value is greater than one but less than \(1000 .\) For example, \(7.9 \times 10^{-2} \mathrm{s}\) could be written as either 7.9 cs or 79 ms. (a) \(9.57 \times 10^{5}\) s; (b) \(0.045 \mathrm{s} ;\) (c) \(5.5 \times 10^{-7} \mathrm{s} ;\) (d) \(3.16 \times 10^{7} \mathrm{s}\)
The following masses are written using metric prefixes on the gram. Rewrite them in scientific notation in terms of the SI base unit of mass: the kilogram. For example, 40 Mg would be written as 4 \(\times 10^{4}\) kg. (a) 23 mg; (b) 320 Tg; (c) 42 ng; (d) 7 g; (e) 9 Pg.
What is the difference between a base unit and a derived unit? (b) What is the difference between a base quantity and a derived quantity? (c) What is the difference between a base quantity and a base unit?
A good-quality measuring tape can be off by 0.50 cm over a distance of \(20 \mathrm{m}\). What is its percent uncertainty?
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