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Date                           Period                          Name

                                                                                 CHAPTER

                                                                                       1                    Study Guide
                                                                                 A Physics Toolkit
                                                                                 Vocabulary Review
                                                                                 Write the term that correctly completes the statement. Use each term once.
                                                                                    accuracy                   independent variable        measurement                  significant digits
                                                                                    dependent variable         inverse relationship        physics                      scientific law
                                                                                    dimensional analysis       line of best fit            precision                    scientific method
                                                                                    hypothesis                 linear relationship         quadratic relationship       scientific theory

                                                                                  1.                                     The study of matter and energy is          .

                                                                                  2.                                     The        is a systematic way to observe, experiment, and analyze
                                                                                                                         the world.
                                                                                  3.                                     The valid digits in a measurement are called the           .

                                                                                  4.                                     A(n)       describes the relationship between two variables in
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.




                                                                                                                         which an increase in one variable results in the decrease of another
                                                                                                                         variable.
                                                                                  5.                                     On a graph, the         is the line drawn as close as possible to all
                                                                                                                         of the data points.
                                                                                  6.                                     A(n)         is an educated guess about how variables are related.

                                                                                  7.                                     The       is the factor that is changed or manipulated during an
                                                                                                                         experiment.
                                                                                  8.                                     A(n)         is description of a rule of nature.

                                                                                  9.                                     A(n)         is a comparison between an unknown quantity and a
                                                                                                                         standard.
                                                                                 10.                                     A straight line on a graph shows that there is a(n)             between
                                                                                                                         the two variables.
                                                                                 11.                                     A(n)         is an explanation supported by experimental results.

                                                                                 12.                                            describes how well the results of a measurement agree with
                                                                                                                         the real value.
                                                                                 13.                                     The         is the factor that depends on the independent variable.

                                                                                 14.                                     The method of treating units as algebraic quantities, which can be
                                                                                                                         cancelled, is called    .


                                                                                 Physics: Principles and Problems                                                       Chapters 1–5 Resources     9
Name
  1                 Study Guide                                                                           continued



15.                                   A(n)         exists when one variable depends on the square of
                                      another.
16.                                   The degree of exactness of a measurement is called              .


Section 1.1           Mathematics and Physics
In your textbook, read about mathematics in physics on pages 4–5.
Write the term that correctly completes the statement. Use each term once.
  dimensional analysis                 experiments                         theories
  equations                            graphs                              units
  experimental data                    results


Physicists do (1)                                 , make observations, and collect

(2)                                 . They predict the (3)                                    using different

models. They create (4)                                   to describe their observations. Due to the

mathematical nature of their work, physicists can enter numbers into (5)

to model observations and make predictions. The numerical values in an equation are also described by




                                                                                                                      Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
(6)                                 , such as amperes, ohms, and volts. (7)

is the method of treating the units as algebraic quantities, which can be cancelled. Varying numerical

results from equations can be plotted as (8)                                     .

In your textbook, read about SI units on pages 5–6.
For each term on the left, write the letter of the matching item on the right.

          9. base quantity of temperature                                              a. meter
                                                                                       b. 10 2
         10. base quantity of electric current
                                                                                       c. kelvin
         11. base quantity of length
                                                                                       d. 10 12
         12. base quantity of time                                                     e. ampere
         13. base amount of a substance                                                f.   second
                                                                                       g. 106
         14. pico
                                                                                       h. mole
         15. centi                                                                     i.   10 6
         16. micro

         17. mega



10 Chapters 1–5 Resources                                                        Physics: Principles and Problems
Name
                                                                                 continued                                                             Study Guide                           1

                                                                                 In your textbook, read about significant digits on page 7.
                                                                                 For each of the statements below, write true or rewrite the italicized part to make the statement true.
                                                                                 18.                                     When you perform any arithmetic operation and round off the last
                                                                                                                         digit, this is the most precise part of the measurement.
                                                                                 19.                                     The figure 0.0730 has two significant digits.

                                                                                 20.                                     Answers derived with a calculator should be written exactly as they
                                                                                                                         appear on the calculator.

                                                                                 In your textbook, read about scientific methods on pages 8–10.
                                                                                 Number the following steps in the order in which scientists study problems.

                                                                                             21. Draw a conclusion.
                                                                                             22. Compare experimentation with careful measurements and analyses of results.
                                                                                             23. Test deductions to determine if they are valid.

                                                                                 Indicate which step in the scientific method best describes the statements in questions 24–29. Explain your
                                                                                 answers. Use complete sentences.
                                                                                 24. A basketball is rolling on the ground. It continues to move even though no one is pushing it.
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.




                                                                                 25. The velocity of the rolling basketball is 0.5 m/s.




                                                                                 26. In an isolated system, momentum does not change. For example, when a bowling ball hits a
                                                                                     rolling basketball, the bowling ball slows down and the basketball speeds up. The increase in
                                                                                     momentum of the basketball equals the decrease in momentum of the bowling ball.




                                                                                 27. There are two tracks that you can roll the basketball on. One track is very steep and the other is
                                                                                     nearly flat. You guess that the basketball will travel faster down the steep track.




                                                                                 28. After recording the speeds of a basketball rolling down a steep track and on a flat track, you repeat
                                                                                     the experiment, timing the ball a second time.




                                                                                 Physics: Principles and Problems                                                   Chapters 1–5 Resources       11
Name
  1              Study Guide                                                                         continued



29. You observe multiple collisions between a basketball and a bowling ball and record data on their
    post collision velocities and directions. You explain your idea that since the bowling ball has a
    greater mass and is moving at greater velocity, it can always change the direction of the basketball
    that has a smaller mass and is moving at a slower velocity.




Section 1.2            Measurement
In your textbook, read about measurement on pages 11–14.
Circle the letter of the choice that best completes the statement.
 1. The apparent shift in position of an object when it is viewed from various angles is called             .
      a. parallax                                 c. calibration

      b. margin of error                          d. accuracy

 2. A device with very small divisions on its scale can measure with            .
      a. scientific notation                      c. precision

      b. agreement                                d. fundamental units




                                                                                                                 Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
 3. An atomic mass unit is measured at 1.660 10 27 kg, a number that has                  significant digits.
      a. 1                                        c. 3

      b. 2                                        d. 4

 4. The NIST-Fl Cesium Fountain clock in Colorado is our standard for               .
      a. significant digits                       c. measuring instruments

      b. accuracy                                 d. calculating errors

 5. A comparison between an unknown quantity and a standard is referred to as a                 .
      a. margin of error                          c. measurement

      b. consistency                              d. variables

 6.           is a technique used to assure the accuracy of a measuring instrument.
      a. Two-point calibration                    c. Analysis

      b. Precision                                d. Dimension

 7. The degree of possible error in a measurement is called its           .
      a. fundamental unit                         c. precision balance

      b. mechanical quantity                      d. margin of uncertainty




12 Chapters 1–5 Resources                                                     Physics: Principles and Problems
Name
                                                                                 continued                                                                            Study Guide                          1

                                                                                 Section 1.3            Graphing Data
                                                                                 In your textbook, read about nonlinear relationships on pages 17–18.
                                                                                 Refer to the graph to answer questions 1–7.

                                                                                                                                              Distance Ball Falls v. Time



                                                                                                                                   16



                                                                                                                    Distance (m)   12


                                                                                                                                   8


                                                                                                                                   4


                                                                                                                                    0
                                                                                                                                           0.4     0.8       1.2    1.6     2.0
                                                                                                                                                         Time (s)

                                                                                  1. What sort of relationship is shown in this graph?
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.




                                                                                  2. Which variable is the independent variable? Which is the dependent variable?


                                                                                  3. Is the slope of this graph positive or negative?


                                                                                  4. What are the units of the slope?


                                                                                  5. Explain why the slope at 2.0 s is greater than the slope at 1.0 s.




                                                                                  6. About how far does the ball fall in 1.8 s?


                                                                                  7. The equation of the graph is d                     5t 2. How far would the ball fall in 2.4 s?




                                                                                 Physics: Principles and Problems                                                                 Chapters 1–5 Resources       13
Name
  1              Study Guide                                                                               continued



Refer to the graph to answer questions 8–12.

                                       Current v. Resistance at 120 V


                                  30

                                  25
                    Current (A)




                                  20

                                  15

                                  10

                                  5


                                   0     10        20       30          40
                                              Resistance (ohms)

 8. What sort of relationship is shown in this graph?




                                                                                                                       Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
 9. Is the slope of this graph positive or negative?


10. What are the units of the slope?


11. What is the approximate current when the resistance is 25 ohms?


12. Write an equation for this graph. (Hint: The equation takes the form xy        a, where x is resistance
    and y is current.)



Read about linear and nonlinear relationships in your textbook on pages 16–18.
For each description on the left, write the letter of the matching term on the right.

         13. the equation of a linear relationship                                      a. hyperbola
         14. the shape of a graph of a linear relationship                              b. parabola
         15. the equation of an inverse relationship                                    c. straight line
         16. the shape of the graph of an inverse relationship                          d. y   mx     b
          17. the equation of a quadratic relationship                                  e. y   ax2     bx2     c
                                                                                               a
         18. the shape of the graph of a quadratic relationship                         f. y
                                                                                                x



14 Chapters 1–5 Resources                                                     Physics: Principles and Problems

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  • 1. Date Period Name CHAPTER 1 Study Guide A Physics Toolkit Vocabulary Review Write the term that correctly completes the statement. Use each term once. accuracy independent variable measurement significant digits dependent variable inverse relationship physics scientific law dimensional analysis line of best fit precision scientific method hypothesis linear relationship quadratic relationship scientific theory 1. The study of matter and energy is . 2. The is a systematic way to observe, experiment, and analyze the world. 3. The valid digits in a measurement are called the . 4. A(n) describes the relationship between two variables in Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. which an increase in one variable results in the decrease of another variable. 5. On a graph, the is the line drawn as close as possible to all of the data points. 6. A(n) is an educated guess about how variables are related. 7. The is the factor that is changed or manipulated during an experiment. 8. A(n) is description of a rule of nature. 9. A(n) is a comparison between an unknown quantity and a standard. 10. A straight line on a graph shows that there is a(n) between the two variables. 11. A(n) is an explanation supported by experimental results. 12. describes how well the results of a measurement agree with the real value. 13. The is the factor that depends on the independent variable. 14. The method of treating units as algebraic quantities, which can be cancelled, is called . Physics: Principles and Problems Chapters 1–5 Resources 9
  • 2. Name 1 Study Guide continued 15. A(n) exists when one variable depends on the square of another. 16. The degree of exactness of a measurement is called . Section 1.1 Mathematics and Physics In your textbook, read about mathematics in physics on pages 4–5. Write the term that correctly completes the statement. Use each term once. dimensional analysis experiments theories equations graphs units experimental data results Physicists do (1) , make observations, and collect (2) . They predict the (3) using different models. They create (4) to describe their observations. Due to the mathematical nature of their work, physicists can enter numbers into (5) to model observations and make predictions. The numerical values in an equation are also described by Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. (6) , such as amperes, ohms, and volts. (7) is the method of treating the units as algebraic quantities, which can be cancelled. Varying numerical results from equations can be plotted as (8) . In your textbook, read about SI units on pages 5–6. For each term on the left, write the letter of the matching item on the right. 9. base quantity of temperature a. meter b. 10 2 10. base quantity of electric current c. kelvin 11. base quantity of length d. 10 12 12. base quantity of time e. ampere 13. base amount of a substance f. second g. 106 14. pico h. mole 15. centi i. 10 6 16. micro 17. mega 10 Chapters 1–5 Resources Physics: Principles and Problems
  • 3. Name continued Study Guide 1 In your textbook, read about significant digits on page 7. For each of the statements below, write true or rewrite the italicized part to make the statement true. 18. When you perform any arithmetic operation and round off the last digit, this is the most precise part of the measurement. 19. The figure 0.0730 has two significant digits. 20. Answers derived with a calculator should be written exactly as they appear on the calculator. In your textbook, read about scientific methods on pages 8–10. Number the following steps in the order in which scientists study problems. 21. Draw a conclusion. 22. Compare experimentation with careful measurements and analyses of results. 23. Test deductions to determine if they are valid. Indicate which step in the scientific method best describes the statements in questions 24–29. Explain your answers. Use complete sentences. 24. A basketball is rolling on the ground. It continues to move even though no one is pushing it. Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 25. The velocity of the rolling basketball is 0.5 m/s. 26. In an isolated system, momentum does not change. For example, when a bowling ball hits a rolling basketball, the bowling ball slows down and the basketball speeds up. The increase in momentum of the basketball equals the decrease in momentum of the bowling ball. 27. There are two tracks that you can roll the basketball on. One track is very steep and the other is nearly flat. You guess that the basketball will travel faster down the steep track. 28. After recording the speeds of a basketball rolling down a steep track and on a flat track, you repeat the experiment, timing the ball a second time. Physics: Principles and Problems Chapters 1–5 Resources 11
  • 4. Name 1 Study Guide continued 29. You observe multiple collisions between a basketball and a bowling ball and record data on their post collision velocities and directions. You explain your idea that since the bowling ball has a greater mass and is moving at greater velocity, it can always change the direction of the basketball that has a smaller mass and is moving at a slower velocity. Section 1.2 Measurement In your textbook, read about measurement on pages 11–14. Circle the letter of the choice that best completes the statement. 1. The apparent shift in position of an object when it is viewed from various angles is called . a. parallax c. calibration b. margin of error d. accuracy 2. A device with very small divisions on its scale can measure with . a. scientific notation c. precision b. agreement d. fundamental units Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 3. An atomic mass unit is measured at 1.660 10 27 kg, a number that has significant digits. a. 1 c. 3 b. 2 d. 4 4. The NIST-Fl Cesium Fountain clock in Colorado is our standard for . a. significant digits c. measuring instruments b. accuracy d. calculating errors 5. A comparison between an unknown quantity and a standard is referred to as a . a. margin of error c. measurement b. consistency d. variables 6. is a technique used to assure the accuracy of a measuring instrument. a. Two-point calibration c. Analysis b. Precision d. Dimension 7. The degree of possible error in a measurement is called its . a. fundamental unit c. precision balance b. mechanical quantity d. margin of uncertainty 12 Chapters 1–5 Resources Physics: Principles and Problems
  • 5. Name continued Study Guide 1 Section 1.3 Graphing Data In your textbook, read about nonlinear relationships on pages 17–18. Refer to the graph to answer questions 1–7. Distance Ball Falls v. Time 16 Distance (m) 12 8 4 0 0.4 0.8 1.2 1.6 2.0 Time (s) 1. What sort of relationship is shown in this graph? Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 2. Which variable is the independent variable? Which is the dependent variable? 3. Is the slope of this graph positive or negative? 4. What are the units of the slope? 5. Explain why the slope at 2.0 s is greater than the slope at 1.0 s. 6. About how far does the ball fall in 1.8 s? 7. The equation of the graph is d 5t 2. How far would the ball fall in 2.4 s? Physics: Principles and Problems Chapters 1–5 Resources 13
  • 6. Name 1 Study Guide continued Refer to the graph to answer questions 8–12. Current v. Resistance at 120 V 30 25 Current (A) 20 15 10 5 0 10 20 30 40 Resistance (ohms) 8. What sort of relationship is shown in this graph? Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 9. Is the slope of this graph positive or negative? 10. What are the units of the slope? 11. What is the approximate current when the resistance is 25 ohms? 12. Write an equation for this graph. (Hint: The equation takes the form xy a, where x is resistance and y is current.) Read about linear and nonlinear relationships in your textbook on pages 16–18. For each description on the left, write the letter of the matching term on the right. 13. the equation of a linear relationship a. hyperbola 14. the shape of a graph of a linear relationship b. parabola 15. the equation of an inverse relationship c. straight line 16. the shape of the graph of an inverse relationship d. y mx b 17. the equation of a quadratic relationship e. y ax2 bx2 c a 18. the shape of the graph of a quadratic relationship f. y x 14 Chapters 1–5 Resources Physics: Principles and Problems