Q: The density of a material is defined as:

$$\rho = \dfrac{\text{mass}}{\text{volume}}$$

Q: The speed of light is approximately $$3.00 \times 10^8$ m/s. Convert this speed to yards/week ($$\text{yd/wk}$$). Use 1$$ \text{ m} = 1.094 \text{ yd}$$ and 1$$ \text{ wk} = 604800 \text{ s}$$.

$$1.84 \times 10$$^{12}$$ yd/wk

Q: Which of the following is NOT a compatible SI unit group for the equation $$F = m a$$?

$$[\text{lb}] \times [\text{ft/s}^2] = [\text{foot-pound}]$$

Q: If you convert 67.5 mi/hr to m/s, which conversion factors would you use?

$$1 \text{ mi} = 1.609 \text{ km}$$ and $$1 \text{ hr} = 3600 \text{ s}$$

Question 1

Which of the following is the correct SI unit for force?

Accepted Answer

Newton

Question 2

A car travels 5.0 km. How many meters is this distance?

Accepted Answer

$$5.0 	imes 10^3$ m

Question 3

Express 0.0000529 $$	imes$$ $$10^6 m in $$scientific notation.

Accepted Answer

$$5.29 	imes 10^2$ m

Question 4

The density of a material is defined as:

Accepted Answer

$$ho = \dfrac{	ext{mass}}{	ext{volume}}$$

Question 5

Convert 22 lbs to kilograms using the conversion factor $$1 	ext{ kg} = 2.2 	ext{ lbs}.$$

Accepted Answer

$$10 kg$$

Question 6

A sphere has a radius of 3.0 m. What is its volume?

Accepted Answer

$$V = \dfrac{4}{3} \pi r^3$ = \dfrac{4}{3} \pi (3.0)^3$ = 113.1 m$^3$$

Question 7

Which equation is dimensionally consistent for calculating distance $$d$$ when walking at constant speed $$v$$ for time $$t$$?

Accepted Answer

$$d = v 	imes t$$

Question 8

The speed of light is approximately $$3.00 	imes 10^8$ m/s. Convert this speed to yards/week ($$	ext{yd/wk}$$). Use 1$$ 	ext{ m} = 1.094 	ext{ yd}$$ and 1$$ 	ext{ wk} = 604800 	ext{ s}$$.

Accepted Answer

$$1.84 	imes 10$$^{12}$$ yd/wk

Question 9

Rewrite $$2.998 	imes 10^8$ m/s in scientific notation.

Accepted Answer

$$2.998 	imes 10^8$ m/s

Question 10

A cube of iron has a mass of 0.515 kg and a density of $$7.87 	imes 10^3$ kg/m^3$. What is the length of one side of the cube?

Accepted Answer

$$0.050 m$$

Question 11

Which of the following numbers has 3 significant figures?

Accepted Answer

100

Question 12

What is the correct scientific notation for the mass of Earth, $$5,972,000,000,000,000,000,000,000 kg$$?

Accepted Answer

$$5.972 	imes 10$$^{24}$$ kg

Question 13

Which of the following is NOT a compatible SI unit group for the equation $$F = m a$$?

Accepted Answer

$$[	ext{lb}] 	imes [	ext{ft/s}^2] = [	ext{foot-pound}]$$

Question 14

If you convert 67.5 mi/hr to m/s, which conversion factors would you use?

Accepted Answer

$$1 	ext{ mi} = 1.609 	ext{ km}$$ and $$1 	ext{ hr} = 3600 	ext{ s}$$

Question 15

Which prefix represents $$10^{-6}$$?

Accepted Answer

micro-

Question 16

A rectangular prism has dimensions 2 m $$	imes 3 m$$ $$	imes 4 m. $$What is its volume?

Accepted Answer

$$24 m$^3$$

Question 17

Newton's Law of Gravitation is $$F = G \dfrac{m_1$ m_2$}{r^2$}. $$What are the units of the Universal Constant $$G$$?

Accepted Answer

$$\dfrac{m^3$}{kg \cdot s^2$}$$

Question 18

When converting units with exponents, how many times should you multiply conversion factors?

Accepted Answer

As many times as the exponent

Question 19

Which of the following numbers has 5 significant figures?

Accepted Answer

100.00

Physics Foundations: Units, Measurement, and Problem Solving 10th

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