Chapter 1: Problem 35
How many inches are in 30.7484 miles?
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Find the magnitude and direction of \(-7 \vec{B}+3 \vec{A}\), where \(\vec{A}=(23.0,59.0), \vec{B}=(90.0,-150.0)\)
What metric prefixes correspond to the following powers of \(10 ?\) a) \(10^{3}\) b) \(10^{-2}\) c) \(10^{-3}\)
The mass of the Sun is \(2 \cdot 10^{30} \mathrm{~kg}\), and the Sun contains more than \(99 \%\) of all the mass in the solar system. Astronomers estimate there are approximately 100 billion stars in the Milky Way and approximately 100 billion galaxies in the universe. The Sun and other stars are predominantly composed of hydrogen; a hydrogen atom has a mass of approximately \(2 \cdot 10^{-27} \mathrm{~kg}\). a) Assuming that the Sun is an average star and the Milky Way is an average galaxy, what is the total mass of the universe? b) Since the universe consists mainly of hydrogen, can you estimate the total number of atoms in the universe?
Write this quantity in scientific notation: one tenmillionth of a centimeter
Estimate the product of 4,308,229 and 44 to one significant figure (show your work and do not use a calculator), and express the result in standard scientific notation.
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