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Scalars and Vectors

Physics · 50 practice questions

Definitions and examples of scalar and vector quantities; relative velocity; resolution of vectors into two perpendicular directions, including graphical methods.

  • Distinguish between scalar and vector quantities and give examples.
  • Determine the resultant of two or more vectors.
  • Determine relative velocity.
  • Resolve vectors into two perpendicular components.
  • Use graphical methods to solve vector problems.

Try a few questions

  1. Practice question 1

    The relative velocity of two objects moving directly toward each other (in opposite directions) is mainly found by

    • A.adding their individual speeds together
    • B.subtracting the smaller speed from the larger speed
    • C.multiplying their individual speeds together
    • D.averaging their individual speeds
    Show the answer

    A. adding their individual speeds together

    For objects approaching each other, their speeds combine additively to give the relative velocity.

  2. Practice question 2

    Two forces of 6N and 8N act at right angles to each other at a point. Their resultant is

    • A.14N
    • B.2N
    • C.10N
    • D.48N
    Show the answer

    C. 10N

    By Pythagoras, resultant = √(6² + 8²) = √100 = 10N.

  3. Practice question 3

    Two forces of 3N and 4N act at right angles to each other at a point. Their resultant is mainly

    • A.7N
    • B.5N
    • C.1N
    • D.12N
    Show the answer

    B. 5N

    By Pythagoras, resultant = √(3² + 4²) = √25 = 5N.

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