Q: A NASA mission failed because engineers confused English and metric units. If a force was measured as 1 pound-second but should have been in newton-seconds, what is the correct conversion factor to use?

$$1 \text{ pound-second} = 4.45 \text{ newton-second}$$

Q: Convert 1.76 yards to centimeters. (1 yard = 0.9144 m, 1 m = 100 cm)

$$1.76 \text{ yd} \times 0.9144 \text{ m/yd} \times 100 \text{ cm/m} = 161 \text{ cm}$$

Q: A graduated cylinder contains 41.1 mL of alcohol. After a piece of tin is added, the volume rises to 52.8 mL. If the tin's mass is 85.251 g, what is its density?

$$\text{Density} = \frac{85.251 \text{ g}}{11.7 \text{ mL}} = 7.29 \text{ g/mL}$$

Q: A temperature is measured as 68°F. What is this temperature in Kelvin?

$$K = (\frac{68-32}{1.8}) + 273.15 = 293.15 \text{ K}$$

Q: A car engine has a displacement of 5.70 L. What is this volume in cubic inches? (1 mL = 1 cm³, 1 in = 2.54 cm, 1 L = 1000 mL)

$$5.70 \text{ L} \times 1000 \text{ mL/L} \times \frac{1 \text{ cm}^3}{1 \text{ mL}} \times \left(\frac{1 \text{ in}}{2.54 \text{ cm}}\$$right)^3$$ = 347 \text{ in}^3$$

Question 1

A NASA mission failed because engineers confused English and metric units. If a force was measured as 1 pound-second but should have been in newton-seconds, what is the correct conversion factor to use?

Accepted Answer

$$1 	ext{ pound-second} = 4.45 	ext{ newton-second}$$

Question 2

Which of the following is the correct SI base unit for measuring temperature?

Accepted Answer

Kelvin (K)

Question 3

A student measures the mass of a coin as 5.01 g on a balance. If the true mass is 5.00 g, and repeated measurements yield 5.01 g, 5.00 g, and 5.02 g, which statement best describes the measurements?

Accepted Answer

The measurements are both accurate and precise.

Question 4

Which of the following is an intensive property?

Accepted Answer

Density

Question 5

Convert 1.76 yards to centimeters. (1 yard = 0.9144 m, 1 m = 100 cm)

Accepted Answer

$$1.76 	ext{ yd} 	imes 0.9144 	ext{ m/yd} 	imes 100 	ext{ cm/m} = 161 	ext{ cm}$$

Question 6

A graduated cylinder contains 41.1 mL of alcohol. After a piece of tin is added, the volume rises to 52.8 mL. If the tin's mass is 85.251 g, what is its density?

Accepted Answer

$$	ext{Density} = \frac{85.251 	ext{ g}}{11.7 	ext{ mL}} = 7.29 	ext{ g/mL}$$

Question 7

Which of the following best describes the difference between mass and weight?

Accepted Answer

Weight is the measure of gravitational pull on an object, mass is the amount of matter.

Question 8

A temperature is measured as 68°F. What is this temperature in Kelvin?

Accepted Answer

$$K = (\frac{68-32}{1.8}) + 273.15 = 293.15 	ext{ K}$$

Question 9

Which of the following is the correct scientific notation for 0.000000000000000000000327?

Accepted Answer

$$3.27 	imes 10$$^{-22}$$

Question 10

Which of the following is an example of a systematic error?

Accepted Answer

A balance that is not zeroed before use, causing all measurements to be off by the same amount.

Question 11

How many significant figures are in the number 10,000,000,000?

Accepted Answer

1

Question 12

Which of the following is the correct rule for significant figures in multiplication and division?

Accepted Answer

The result has the same number of significant figures as the factor with the fewest significant figures.

Question 13

A car engine has a displacement of 5.70 L. What is this volume in cubic inches? (1 mL = 1 cm³, 1 in = 2.54 cm, 1 L = 1000 mL)

Accepted Answer

$$5.70 	ext{ L} 	imes 1000 	ext{ mL/L} 	imes \frac{1 	ext{ cm}^3}{1 	ext{ mL}} 	imes \left(\frac{1 	ext{ in}}{2.54 	ext{ cm}}\$$right)^3$$ = 347 	ext{ in}^3$$

Question 14

Which of the following best describes the law of conservation of energy?

Accepted Answer

Energy is neither created nor destroyed.

Question 15

Which SI prefix multiplier represents one billionth (10⁻⁹)?

Accepted Answer

nano (n)

Question 16

A sample of gasoline contains molecules with high potential energy. When burned in a car engine, what happens to this energy?

Accepted Answer

It is converted to kinetic energy and heat, some of which moves the car forward.

Question 17

Which of the following is the correct formula for converting Celsius to Fahrenheit?

Accepted Answer

$$^\circ F = 1.8(^\circ C) + 32$$

Essentials: Units, Measurement, and Problem Solving (General Chemistry Chapter E)

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