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Is one liter about an ounce, a pint, a quart, or a gallon?
Is a meter about an inch, a foot, a yard, or a mile?
about a yard
Indicate the SI base units or derived units that are appropriate for the following measurements:
(a) the length of a marathon race (26 miles 385 yards)
(b) the mass of an automobile
(c) the volume of a swimming pool
(d) the speed of an airplane
(e) the density of gold
(f) the area of a football field
(g) the maximum temperature at the South Pole on April 1, 1913
Indicate the SI base units or derived units that are appropriate for the following measurements:
(a) the mass of the moon
(b) the distance from Dallas to Oklahoma City
(c) the speed of sound
(d) the density of air
(e) the temperature at which alcohol boils
(f) the area of the state of Delaware
(g) the volume of a flu shot or a measles vaccination
(a) kilograms; (b) meters; (c) kilometers/second; (d) kilograms/cubic meter; (e) kelvin; (f) square meters; (g) cubic meters
Give the name and symbol of the prefixes used with SI units to indicate multiplication by the following exact quantities.
(a) 10 ^{3}
(b) 10 ^{−2}
(c) 0.1
(d) 10 ^{−3}
(e) 1,000,000
(f) 0.000001
Give the name of the prefix and the quantity indicated by the following symbols that are used with SI base units.
(a) c
(b) d
(c) G
(d) k
(e) m
(f) n
(g) p
(h) T
(a) centi-, $\times $ 10 ^{−2} ; (b) deci-, $\times $ 10 ^{−1} ; (c) Giga-, $\times $ 10 ^{9} ; (d) kilo-, $\times $ 10 ^{3} ; (e) milli-, $\times $ 10 ^{−3} ; (f) nano-, $\times $ 10 ^{−9} ; (g) pico-, $\times $ 10 ^{−12} ; (h) tera-, $\times $ 10 ^{12}
A large piece of jewelry has a mass of 132.6 g. A graduated cylinder initially contains 48.6 mL water. When the jewelry is submerged in the graduated cylinder, the total volume increases to 61.2 mL.
(a) Determine the density of this piece of jewelry.
(b) Assuming that the jewelry is made from only one substance, what substance is it likely to be? Explain.
Visit this PhET density simulation and select the Same Volume Blocks.
(a) What are the mass, volume, and density of the yellow block?
(b) What are the mass, volume and density of the red block?
(c) List the block colors in order from smallest to largest mass.
(d) List the block colors in order from lowest to highest density.
(e) How are mass and density related for blocks of the same volume?
(a) 8.00 kg, 5.00 L, 1.60 kg/L; (b) 2.00 kg, 5.00 L, 0.400 kg/L; (c) red<green<blue<yellow; (d) If the volumes are the same, then the density is directly proportional to the mass.
Visit this PhET density simulation and select Custom Blocks and then My Block.
(a) Enter mass and volume values for the block such that the mass in kg is less than the volume in L. What does the block do? Why? Is this always the case when mass<volume?
(b) Enter mass and volume values for the block such that the mass in kg is more than the volume in L. What does the block do? Why? Is this always the case when mass>volume?
(c) How would (a) and (b) be different if the liquid in the tank were ethanol instead of water?
(d) How would (a) and (b) be different if the liquid in the tank were mercury instead of water?
Visit this PhET density simulation and select Mystery Blocks.
(a) Pick one of the Mystery Blocks and determine its mass, volume, density, and its likely identity.
(b) Pick a different Mystery Block and determine its mass, volume, density, and its likely identity.
(c) Order the Mystery Blocks from least dense to most dense. Explain.
(a) (b) Answer is one of the following. A/yellow: mass = 65.14 kg, volume = 3.38 L, density = 19.3 kg/L, likely identity = gold. B/blue: mass = 0.64 kg, volume = 1.00 L, density = 0.64 kg/L, likely identity = apple. C/green: mass = 4.08 kg, volume = 5.83 L, density = 0.700 kg/L, likely identity = gasoline. D/red: mass = 3.10 kg, volume = 3.38 L, density = 0.920 kg/L, likely identity = ice; and E/purple: mass = 3.53 kg, volume = 1.00 L, density = 3.53 kg/L, likely identity = diamond. (c) B/blue/apple (0.64 kg/L)<C/green/gasoline (0.700 kg/L)<C/green/ice (0.920 kg/L)<D/red/diamond (3.53 kg/L)<A/yellow/gold (19.3 kg/L)
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