A simple pendulum is used to determine the acceleration due to gravity at the surface of a planet The pendulum has a length of 2 m and its

Question

A simple pendulum is used to determine the acceleration due to gravity at the surface of a planet The pendulum has a length of 2 m and its period is measured to be 2 s. The value of g obtained in this investigation is most nearly :A. 1 m/s2 B. 2 m/s2C. 5 m/s2 D. 10 m/s2 E. 20 m/s2

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Thanh Thu 3 years 2021-09-05T03:59:54+00:00 1 Answers 23 views 0

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  1. danthu
    0
    2021-09-05T04:01:43+00:00
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    Answer:

    E. 20 m/s^2

    Explanation:

    The period of a pendulum is given by the following equation:

    T = 2 * pi * \sqrt{\frac{L}{g} }

    Where T = time period (in seconds)

    L = length of pendulum

    and g = acceleration due to gravity

    Substituting the values from the question we get:

    2 = 2 * pi *\sqrt{\frac{2}{g} }

    Solving for g, we get:

    g = 19.74 m/s^2

    Closest option to this is option (E).

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