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Measurement Session 3: Solutions
 
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Solutions for Session 3 Homework

See solutions for Problems: H1 | H2 | H3 | H4 | H5


Problem H1

a. 

Ten million meters can also be expressed as 10,000 km, or 10 Mm.

b. 

A meter is defined to be the length of the path traveled by light in vacuum during a time interval of 1/299,792,458 of a second. In this way, it can be defined in terms of the second, another base unit of the metric system, and the constant speed of light.

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Problem H2

 

1 gigameter - H. Earth's distance from Saturn

 

1 megameter - F. distance from Atlanta to Miami

 

1 kilometer - A. distance a fast walker walks in 10 minutes

 

1 meter - C. waist height of an average adult

 

1 centimeter - G. width of a fingernail

 

1 millimeter - E. thickness of a dime

 

1 micrometer - D. size of bacteria

 

1 picometer - B. size of an atom

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Problem H3

Since it takes 1,000 g to make a kilogram, there are about 200 nickels in a kilogram. Two hundred nickels are worth $10.

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Problem H4

a. 

The mass is approximately 6.5 kg.

b. 

Since 1 cm3 is equivalent to 1 g, 30 cm3 of water has a mass of 30 g.

c. 

Since 1 mL is equivalent to 1 g, 18 mL has a mass of 18 g.

d. 

Twelve cubic meters is equivalent to 12,000 dm3. Since 1 dm3 of water has a mass of 1 kg, 12 m3 has a mass of 12,000 kg.

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Problem H5

In terms of the number of units, 1,869 is a much larger number, so a student might be confused and say that 1,869 g is more. But since a kilogram is equivalent to 1,000 g, 1.87 kg is actually 1,870 g, which is more. This confusion might disappear once the student is more familiar with the metric system, which makes this type of conversion much easier than converting, say, inches to miles.

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