General Physics 1 Lesson 2
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Questions and Answers

Which of the following is NOT a scalar quantity?

  • Mass
  • Velocity (correct)
  • Distance
  • Speed

    • What operation can be performed on scalar quantities?

  • Dot product
  • Vector resolution
  • Addition (correct)
  • Cross multiplication

    • How is velocity different from speed?

  • Velocity includes direction. (correct)
  • Velocity can be negative.
  • Speed is a vector quantity.
  • Speed does not have magnitude.

    • What does the 'magnitude' of a vector refer to?

    <p>The size of the physical quantity</p> Signup and view all the answers

    Which of the following best describes displacement?

    <p>The shortest distance from one point to another</p> Signup and view all the answers

    Which statement is true about scalar quantities?

    <p>They always have a unit associated.</p> Signup and view all the answers

    What characterizes a vector quantity?

    <p>It is represented by an arrow.</p> Signup and view all the answers

    What happens when direction is added to speed?

    <p>It turns into a velocity.</p> Signup and view all the answers

    Which of the following describes scalar quantities?

    <p>Have only magnitude</p> Signup and view all the answers

    What is the primary difference between vector and scalar quantities?

    <p>Scalars have magnitude only, while vectors have both magnitude and direction</p> Signup and view all the answers

    Which of the following is an example of a scalar quantity?

    <p>Temperature</p> Signup and view all the answers

    What method can be used to add vectors graphically?

    <p>Triangle method</p> Signup and view all the answers

    When rewriting a vector in component form, what elements are typically identified?

    <p>The horizontal and vertical components</p> Signup and view all the answers

    Which of the following statements about vector addition is true?

    <p>The resultant vector may differ based on the order of addition</p> Signup and view all the answers

    What is the resultant vector?

    <p>It combines the effects of two or more vectors</p> Signup and view all the answers

    What is necessary to calculate the magnitude of a resultant vector?

    <p>The components of each vector</p> Signup and view all the answers

    What determines whether two vectors are considered equal?

    <p>They must have the same magnitudes and directions.</p> Signup and view all the answers

    What is the relationship between distance and displacement?

    <p>Distance covers a non-straight path from origin to destination.</p> Signup and view all the answers

    If two vectors point in opposite directions but have equal magnitudes, how are they classified?

    <p>Antiparallel vectors</p> Signup and view all the answers

    What is the resultant vector?

    <p>The vector sum of multiple displacements.</p> Signup and view all the answers

    Which vehicle's travel direction can be identified as 40° south of west?

    <p>Vehicle B</p> Signup and view all the answers

    When a student moves 8.5 meters, 50° north of west, what is a plausible misconception about their movement?

    <p>The student moved directly east.</p> Signup and view all the answers

    In which scenario is distance covered likely to exceed displacement?

    <p>Running a zigzag course.</p> Signup and view all the answers

    What angle does Sara's displacement of 60 km correspond to when described as 78° south of east?

    <p>12° east of south</p> Signup and view all the answers

    What does the initial displacement of the speed boat indicate about its direction?

    <p>It is moving 45° north of west.</p> Signup and view all the answers

    Why is it important to resolve a force into its components when analyzing a truss bridge?

    <p>To calculate the maximum strength and support of the bridge.</p> Signup and view all the answers

    In vector addition, what is the significance of the angle in determining the components of a vector?

    <p>It defines the triangles used to resolve vector components.</p> Signup and view all the answers

    What does a displacement vector pointing northeast imply about its components?

    <p>It has equal components along the north and east axes.</p> Signup and view all the answers

    What type of forces can different parts of a bridge accommodate?

    <p>Both compression and tension forces.</p> Signup and view all the answers

    How does the arrangement of beams in a truss bridge enhance its performance?

    <p>It supports the weight through a triangular pattern.</p> Signup and view all the answers

    What is meant by 'maximum strength' in the context of bridge components?

    <p>The limit to which components can support loads before failure.</p> Signup and view all the answers

    Which of the following best describes vector quantities?

    <p>They have both magnitude and direction.</p> Signup and view all the answers

    Which equation can be used to find the x-component of a vector given its magnitude and angle?

    <p>x = magnitude * cos(angle)</p> Signup and view all the answers

    What is the relationship between a vector's components and its angle?

    <p>The angle can be calculated using inverse sine of the ratio of y to x components.</p> Signup and view all the answers

    For a vector located in the second quadrant, which statement is true about its x-component?

    <p>It is always negative.</p> Signup and view all the answers

    How can the resultant vector be calculated?

    <p>Using the Pythagorean theorem.</p> Signup and view all the answers

    If a displacement vector has a magnitude of 50 m and an angle of 30°, what is the y-component?

    <p>43.3 m</p> Signup and view all the answers

    Which of the following correctly describes the role of the inverse tangent function in vector analysis?

    <p>It gives the angle for the resultant based on component ratios.</p> Signup and view all the answers

    If a car has a displacement of 750 m at an angle of 45° north of west, what can be concluded about its components?

    <p>Both components are equal in magnitude.</p> Signup and view all the answers

    What does the term 'adjacent' refer to in the context of a vector?

    <p>The side next to the angle in question.</p> Signup and view all the answers

    Study Notes

    Learning Competencies and Objectives

    • Differentiate between vector and scalar quantities.
    • Perform vector addition and subtraction.
    • Represent vectors in component form.

    Physical Quantities

    • Physical quantities are classified into scalar and vector categories.
    • Scalar quantities have magnitude only (e.g., mass, time, distance).
    • Vector quantities have both magnitude and direction (e.g., velocity).

    Scalar Quantities

    • A scalar quantity is indicated by a single value and unit (e.g., 25°C).
    • Examples: mass (15 kg), time (2 hours), speed (60 km/h), density, volume.
    • Operations on scalars follow ordinary arithmetic rules.

    Vector Quantities

    • Vectors are represented with an arrow indicating both magnitude and direction.
    • E.g., a car moving at 30 m/s East is velocity, distinguishing it from speed.
    • Magnitude of scalars is always positive, while vectors can have directionality.

    Representation of Vectors

    • The shortest distance between two points is known as displacement.
    • Different paths between two points can represent various vectors.

    Distance vs. Displacement

    • Distance covers the actual path traveled, while displacement is a straight line from origin to destination.

    Vector Equalities and Operations

    • Vectors are equal when they have the same magnitude and direction.
    • Parallel vectors point in the same direction; antiparallel vectors point in opposite directions.

    Addition of Vectors

    • The resultant vector, or total displacement, combines individual vectors.
    • Graphical methods can illustrate vector additions effectively.

    Components of Vectors

    • Vectors can be resolved into horizontal and vertical components.
    • Example: A vector pointing northeast has components along the north and east axes.

    Trigonometric Relationships

    • Component relationships can be established using trigonometric functions.
    • The Pythagorean theorem facilitates resultant vector calculations.
    • The angle of the resultant vector can be determined using the inverse tangent of the component ratios.

    Sample Exercises

    • Displacement calculations involve finding x- and y-components based on angle and magnitude.
    • Specific examples include calculating components of vectors in various quadrants and orientations.

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    Related Documents

    General Physics 1 Lesson 2 On Physical Quantities PDF

    Description

    This quiz covers key concepts from Lesson 2 of General Physics 1, focusing on the differentiation between vector and scalar quantities. It also includes practical applications such as vector addition and rewriting vectors in component form. Ideal for STEM students looking to solidify their understanding of fundamental physics principles.

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