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Problem 1

Astronomers sometimes measure distances in astronomical units, where \(1 \mathrm{AU}=1.496 \times 10^{11} \mathrm{~m},\) the mean distance from Earth to Sun. Why is this useful for distances within our solar system?

Problem 2

Describe a situation in which you might find it practical to use a non-SI unit

Problem 3

What are the disadvantages of using a prototype (a piece of metal) for the standard kilogram?

Problem 4

Nanotechnology (which includes building small-scale machines and the electronic circuit boards inside computers) has gained a lot of attention recently. Why do you think the word "nanotechnology" was chosen?

Problem 5

Explain the difference between dimensions and units.

Problem 6

Radio signals used to communicate with spacecraft travel at the speed of light. What problems do you think might arise if scientists want to send a series of signals to maneuver a spacecraft into orbit around Saturn?

Problem 7

Can you add or subtract quantities with different units? Can you multiply or divide quantities with different units?

Problem 9

Ten million \(\mathrm{kg}\) can be written as (a) \(10^{13} \mathrm{~g}\); (b) \(10^{10} \mathrm{~g}\); (c) \(10^{7} \mathrm{~g}\); (d) \(10^{6} \mathrm{~g}\).

Problem 10

(b) \(\mathrm{km} / \mathrm{h} ;\) (c) \(\mathrm{km} / \mathrm{s} ;\) (d) \(\mathrm{m} / \mathrm{s}\). The SI unit of speed is (a) \(\mathrm{mi} / \mathrm{h}\)

Problem 11

The age of the universe is approximately 13.7 Gy. This is approximately (a) \(4.3 \times 10^{11} \mathrm{~s} ;\) (b) \(4.3 \times 10^{14} \mathrm{~s}\) (c) \(4.3 \times 10^{17} \mathrm{~s}\) (d) \(4.3 \times 10^{20} \mathrm{~s}\)

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