Q: Which of the following is the correct conversion factor to change pounds (lbs) to kilograms (kg)?

$$1 \text{ kg} = 2.2 \text{ lbs}$$

Q: You are given a measurement in $$\text{ft}^2$$ and need to convert it to $$\text{m}^2. $$Which conversion factor should you use, and how many times should you apply it?

Use $$1 \text{ ft} = 0.305 \text{ m}$$ and apply it twice.

Q: The speed of light is approximately $$3.00 \times 10^8$ \text{ m/s}. $$Convert this speed to yards/week ($$\text{yd/wk}).$$

$$1.84 \times 10$$^{14}$$ \text{ yd/wk}$$

Q: Which of the following is the correct conversion factor to change centimeters (cm) to inches (in)?

$$1 \text{ in} = 2.54 \text{ cm}$$

Q: A scientist needs to convert $$450 \text{ g} to $$ounces ($$\text{oz}). $$Which conversion factor should they use?

$$1 \text{ oz} = 28.4 \text{ g}$$

Q: A distance of $$259 \text{ km} is to be $$converted to miles. Which conversion factor should be used?

$$1 \text{ mi} = 1.61 \text{ km}$$

Q: A scientist needs to convert $$1.5 \text{ m}^3 to$$ $$\text{cm}^3. $$Which conversion factor should they use and how many times should it be applied?

Use $$1 \text{ m} = 100 \text{ cm}$$ and apply it three times.

Question 1

Which of the following is the correct conversion factor to change pounds (lbs) to kilograms (kg)?

Accepted Answer

$$1 	ext{ kg} = 2.2 	ext{ lbs}$$

Question 2

A car travels at $$67.5 	ext{ mi/hr}. $$What is its speed in $$	ext{m/s}$$? Use the following conversion factors: $$1 	ext{ mi} = 1.61 	ext{ km}$$, $$1 	ext{ km} = 1000 	ext{ m}$$, $$1 	ext{ hr} = 3600 	ext{ s}.$$

Accepted Answer

$$30.2 	ext{ m/s}$$

Question 3

You are given a measurement in $$	ext{ft}^2$$ and need to convert it to $$	ext{m}^2. $$Which conversion factor should you use, and how many times should you apply it?

Accepted Answer

Use $$1 	ext{ ft} = 0.305 	ext{ m}$$ and apply it twice.

Question 4

Convert $$22 	ext{ lbs} to $$kilograms ($$	ext{kg}) $$using the provided conversion factor.

Accepted Answer

$$10 	ext{ kg}$$

Question 5

Which step is NOT part of the recommended process for converting units according to the study materials?

Accepted Answer

Estimate the answer before converting.

Question 6

A rectangular room measures $$100 	ext{ ft}^2. $$What is the area in $$	ext{m}^2$$? ($$1 	ext{ ft} = 0.305 	ext{ m})$$

Accepted Answer

$$9.3 	ext{ m}^2$$

Question 7

The speed of light is approximately $$3.00 	imes 10^8$ 	ext{ m/s}. $$Convert this speed to yards/week ($$	ext{yd/wk}).$$

Accepted Answer

$$1.84 	imes 10$$^{14}$$ 	ext{ yd/wk}$$

Question 8

If you have a volume of $$1 	ext{ gal}$$, how many liters is this? ($$1 	ext{ gal} = 3.79 	ext{ L})$$

Accepted Answer

$$3.79 	ext{ L}$$

Question 9

A runner completes a marathon of $$42.195 	ext{ km}. $$How many miles did they run? ($$1 	ext{ mi} = 1.61 	ext{ km})$$

Accepted Answer

$$26.2 	ext{ mi}$$

Question 10

Which of the following is the correct conversion factor to change centimeters (cm) to inches (in)?

Accepted Answer

$$1 	ext{ in} = 2.54 	ext{ cm}$$

Question 11

A scientist needs to convert $$450 	ext{ g} to $$ounces ($$	ext{oz}). $$Which conversion factor should they use?

Accepted Answer

$$1 	ext{ oz} = 28.4 	ext{ g}$$

Question 12

A distance of $$259 	ext{ km} is to be $$converted to miles. Which conversion factor should be used?

Accepted Answer

$$1 	ext{ mi} = 1.61 	ext{ km}$$

Question 13

When converting units with exponents, such as $$	ext{cm}^3 to$$ $$	ext{m}^3$$, what must you do with the conversion factor?

Accepted Answer

Raise the conversion factor to the power of the exponent.

Question 14

A laboratory sample has a mass of $$450 	ext{ g}. $$How many pounds is this? ($$1 	ext{ kg} = 2.2 	ext{ lbs}$$, $$1 	ext{ kg} = 1000 	ext{ g})$$

Accepted Answer

$$0.99 	ext{ lbs}$$

Question 15

A swimming pool holds $$10,000 	ext{ L} of $$water. How many gallons is this? ($$1 	ext{ gal} = 3.79 	ext{ L})$$

Accepted Answer

$$2,640 	ext{ gal}$$

Question 16

A patient’s height is $$5 	ext{ ft} 8 	ext{ in}. $$What is their height in centimeters? ($$1 	ext{ ft} = 12 	ext{ in}$$, $$1 	ext{ in} = 2.54 	ext{ cm})$$

Accepted Answer

$$173 	ext{ cm}$$

Question 17

A scientist needs to convert $$1.5 	ext{ m}^3 to$$ $$	ext{cm}^3. $$Which conversion factor should they use and how many times should it be applied?

Accepted Answer

Use $$1 	ext{ m} = 100 	ext{ cm}$$ and apply it three times.

Question 18

A recipe calls for $$1 	ext{ L} of $$milk. How many milliliters is this? ($$1 	ext{ L} = 1000 	ext{ mL})$$

Accepted Answer

$$1000 	ext{ mL}$$

Question 19

A cyclist travels $$50 	ext{ km} in$$ $$2 	ext{ hr}. $$What is their average speed in $$	ext{m/s}$$? ($$1 	ext{ km} = 1000 	ext{ m}$$, $$1 	ext{ hr} = 3600 	ext{ s})$$

Accepted Answer

$$6.94 	ext{ m/s}$$

Unit Conversion and Dimensional Analysis in Physics

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