Chapter 1 Section 2: Introduction

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Chapter 1 Section 2: Introduction
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Questions and Answers
  • 1. 
    (a) Is it possible for two quantities to have the same dimensions but different units? (b)  Is it possible for two quantities to have the same units but in different dimensions?
    Discuss
    • A. 

      (a) Yes. (b) No

    • B. 

      (a) Yes. (b) Yes

    • C. 

      (a) No (b) Yes

    • D. 

      (a) No. (b) No

  • 2. 
    You can always add two numbers that have the same units (such as 6 meters + 3 meters). Can you always add two numbers that have the same dimensions, such as two numbers that have the dimensions of length [L]?
    • A. 

      True

    • B. 

      False

  • 3. 
    The following table lists four variables, along with their units: Variable Units x Meters (m) v Meters per second (m/s) t Seconds (s) a Meters per second squared (m/s2) These variables appear in the following equations, along with a few numbers that have no units. In which of the equations are the units on the left side of the equals sign consistent with the units on the right side?
    • A. 

       

    • B. 

    • C. 

    • D. 

    • E. 

    • F. 

  • 4. 
    In the equation you wish to determine the integer value (1, 2, etc.) of the exponent n. The dimensions of y, a, and t are known. it is also known that c has no dimensions. Can dimensional analysis be used to determine n? - ProProfs
    In the equation you wish to determine the integer value (1, 2, etc.) of the exponent n. The dimensions of y, a, and t are known. it is also known that c has no dimensions. Can dimensional analysis be used to determine n?
    • A. 

      Yes

    • B. 

      No

  • 5. 
    Which of the following statements, if any, involves a vector?
    • A. 

      I walked 2 miles along the beach.

    • B. 

      I walked 2 miles due north along the beach.

    • C. 

      I jumped off a cliff and hit the water traveling at 17 miles per hour.

    • D. 

      I jumped off a cliff and hit the water traveling straight down at a speed of 17 miles per hour.

    • E. 

      My bank account shows a negative balance of -25 dollars.

  • 6. 
    Two vectors are added together to give a resultant vector. The magnitudes are 3 m and 8 m, respectively, but the vectors can have any orientation. What are (a) the maximum possible value and (b) the minimum possible value for the magnitude of?
    • A. 

      (a) 11 m

    • B. 

      (a) 15 m

    • C. 

      (b) 5 m

    • D. 

      (b) 3 m

  • 7. 
    Can two nonzero perpendicular vectors be added together so their sum is zero?
    • A. 

      Yes

    • B. 

      No

  • 8. 
    Can three or more vectors with unequal magnitudes be added together so their sum is zero?
    • A. 

      Yes

    • B. 

      No

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