Mathematics
Grade10
Easy

Question

The period, in seconds, of a pendulum’s swing on Earth is given by the function f left parenthesis x right parenthesis equals 2 straight pi square root of fraction numerator straight x over denominator 9.8 end fraction end root, where x is the length of the pendulum in meters. On the moon, the equation that gives the period of the pendulum is g left parenthesis x right parenthesis equals 2 pi square root of fraction numerator x over denominator 1.6 end fraction end root. Write the moon function in terms of f left parenthesis x right parenthesis.

  1. g left parenthesis x right parenthesis equals 2.47 f left parenthesis x right parenthesis
  2. g left parenthesis x right parenthesis equals f left parenthesis 2.47 x right parenthesis
  3. g left parenthesis x right parenthesis equals f left parenthesis 5 x right parenthesis
  4. g left parenthesis x right parenthesis equals 5 f left parenthesis x right parenthesis

The correct answer is: g left parenthesis x right parenthesis equals 2.47 f left parenthesis x right parenthesis


    Given g left parenthesis x right parenthesis equals 2 pi square root of fraction numerator x over denominator 1.6 end fraction end root equals 2 pi square root of fraction numerator 6.1 cross times x over denominator 6.1 cross times 1.6 end fraction end root equals square root of 6.1 end root cross times 2 pi square root of fraction numerator x over denominator 9.8 end fraction end root equals 2.47 f left parenthesis x right parenthesis

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