Q: A car travels 4.6 megameters (Mm). Express this distance in meters using scientific notation.

$$4.6 \times 10^6$\ \mathrm{m}$$

Q: Rewrite the speed of light, $$299,800,000\ \mathrm{m/s}$$, in scientific notation.

$$2.998 \times 10^8$\ \mathrm{m/s}$$

Q: A rectangular prism has a length of $$2.0\ \mathrm{m}$$, width of $$0.50\ \mathrm{m}$$, and height of $$0.10\ \mathrm{m}. $$What is its volume in cubic centimeters ($$\mathrm{cm}^3$$)?

$$1.0 \times 10^5$\ \mathrm{cm}^3$$

Q: A student measures the mass of a box as $$15.0\ \mathrm{kg}$$ and its volume as $$0.012\ \mathrm{m}^3. $$What is the density of the box in $$\mathrm{kg/m}^3$$?

$$1.25 \times 10^3$\ \mathrm{kg/m}^3$$

Q: Express $$0.0000529 \times 10^4$ meters in scientific notation.

$$5.29 \times 10$$^{-2}$$\ \mathrm{m}$$

Q: The speed of light is approximately $$3.00 \times 10^8$\ \mathrm{m/s}. $$Convert this speed to yards per week ($$\mathrm{yd/wk}$$). ($$1\ \mathrm{m} = 1.094\ \mathrm{yd}$$, $$1\ \mathrm{wk} = 604,800\ \mathrm{s})$$

$$1.8 \times 10$$^{13}$$\ \mathrm{yd/wk}$$

Question 1

Which of the following is the correct SI unit for force, and how is it defined in terms of base SI units?

Accepted Answer

Newton (N); $$1\ \mathrm{N} = 1\ \mathrm{kg} \cdot \mathrm{m}/\mathrm{s}^2$$

Question 2

A car travels 4.6 megameters (Mm). Express this distance in meters using scientific notation.

Accepted Answer

$$4.6 	imes 10^6$\ \mathrm{m}$$

Question 3

Convert 3,000,000,000 nanometers (nm) to decameters (dam).

Accepted Answer

$$0.03\ \mathrm{dam}$$

Question 4

Rewrite the speed of light, $$299,800,000\ \mathrm{m/s}$$, in scientific notation.

Accepted Answer

$$2.998 	imes 10^8$\ \mathrm{m/s}$$

Question 5

A rectangular prism has a length of $$2.0\ \mathrm{m}$$, width of $$0.50\ \mathrm{m}$$, and height of $$0.10\ \mathrm{m}. $$What is its volume in cubic centimeters ($$\mathrm{cm}^3$$)?

Accepted Answer

$$1.0 	imes 10^5$\ \mathrm{cm}^3$$

Question 6

The density of a wooden cylinder is $$0.67\ \mathrm{g/cm}^3$$ and its mass is $$150\ \mathrm{g}. $$What is its volume in $$\mathrm{cm}^3$$?

Accepted Answer

$$224\ \mathrm{cm}^3$$

Question 7

Which of the following equations is dimensionally consistent for calculating distance $$d (in $$meters) if speed $$v is in$$ $$\mathrm{m/s}$$ and time $$t is in$$ $$\mathrm{s}$$?

Accepted Answer

$$d = v 	imes t$$

Question 8

Newton's Law of Gravitation is $$F = G \dfrac{m_1$ m_2$}{r^2$}. If$$ $$F is in $$newtons ($$\mathrm{N}$$), $$m_1$$ and $$m_2$$ are in kilograms ($$\mathrm{kg}$$), and $$r is in $$meters ($$\mathrm{m}$$), what are the units of the universal gravitational constant $$G$$?

Accepted Answer

$$\mathrm{m}^3 / (\mathrm{kg} \cdot \mathrm{s}^2)$$

Question 9

A student measures the mass of a box as $$15.0\ \mathrm{kg}$$ and its volume as $$0.012\ \mathrm{m}^3. $$What is the density of the box in $$\mathrm{kg/m}^3$$?

Accepted Answer

$$1.25 	imes 10^3$\ \mathrm{kg/m}^3$$

Question 10

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

Accepted Answer

$$10\ \mathrm{kg}$$

Question 11

How many significant figures are in the number $$0.013200972000$$?

Accepted Answer

11

Question 12

Express $$0.0000529 	imes 10^4$ meters in scientific notation.

Accepted Answer

$$5.29 	imes 10$$^{-2}$$\ \mathrm{m}$$

Question 13

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

Accepted Answer

$$5.0\ \mathrm{cm}$$

Question 14

Which of the following best describes why it is important to use SI units in physics calculations?

Accepted Answer

SI units are compatible and form a coherent system, ensuring dimensional consistency in equations.

Question 15

Convert $$100\ \mathrm{ft}^2 to$$ $$\mathrm{m}^2$$ using $$1\ \mathrm{ft} = 0.305\ \mathrm{m}.$$

Accepted Answer

$$9.3\ \mathrm{m}^2$$

Question 16

The speed of light is approximately $$3.00 	imes 10^8$\ \mathrm{m/s}. $$Convert this speed to yards per week ($$\mathrm{yd/wk}$$). ($$1\ \mathrm{m} = 1.094\ \mathrm{yd}$$, $$1\ \mathrm{wk} = 604,800\ \mathrm{s})$$

Accepted Answer

$$1.8 	imes 10$$^{13}$$\ \mathrm{yd/wk}$$

Question 17

Which of the following statements about significant figures is correct?

Accepted Answer

Leading zeros are not significant, but zeros between nonzero digits and trailing zeros after a decimal point are significant.

Question 18

A sphere has a radius of $$3.0\ \mathrm{cm}. $$What is its volume in $$\mathrm{cm}^3$$? (Use $$V = \dfrac{4}{3}\pi r^3$)

Accepted Answer

$$113\ \mathrm{cm}^3$$

Question 19

Which of the following is the correct scientific notation for the mass of the Earth, $$5,972,000,000,000,000,000,000,000\ \mathrm{kg}$$?

Accepted Answer

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

Fundamental Concepts in Physics: Measurement, Units, and Scientific Notation

Study Guide - Practice Questions

Study Guide - Flashcards