University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 1 - Units, Physical Quantities, and Vectors - Problems - Exercises: 1.4

Answer

1.93 x 10^4 kg/m^3

Work Step by Step

To convert this answer, we need to perform two separate conversions. We need to convert grams to kilograms, and cubic centimeters to cubic meters. First, we'll focus on grams to kilograms. This is a simple enough conversion at 1000 g = 1 kg. The conversion from cubic centimeters to cubic meters is more tricky. The conversion factor we need is 100 cm = 1 m. But we're interested in cubic centimeters and inches. To find this conversion factor, just cube the initial conversion factor, giving us 100^3 cm^3 = 1 m^3 or 10^6 cm^3 = 1 m^3. Stringing this together gives us: 19.3 g/cm^3 x (1 kg/1000 g) x (10^6 cm^3/m^3) = 19,300 kg/m^3 Don't forget to cancel units that appear on the top and bottom of the formula! G and cm^3 cancel, leaving us with units of kg/m^3, which is what we want. Our answer should have the same number of significant figures as the initial quantity. 19.3 has three sig figs, so we round our answer to 1.93 x 10^4 kg/m^3.
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