A 25 kg child is riding on a swing. If the child travels 8.9 m/s at the bottom of their swing, how high into the air is the child able to sw

Question

A 25 kg child is riding on a swing. If the child travels 8.9 m/s at the bottom of their swing, how high into the air is the child able to swing?

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Thu Cúc 4 years 2021-08-06T22:09:40+00:00 1 Answers 17 views 0

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  1. Amity
    0
    2021-08-06T22:11:01+00:00
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    Answer:

    h = 4.04 m

    Explanation:

    Given that,

    Mass of a child, m = 25 kg

    The speed of the child at the bottom of the swing is 8.9 m/s

    We need to find the height in the air is the child is able to swing. Let the height is h. Using the conservation of energy such that,

    mgh=\dfrac{1}{2}mv^2\\\\h=\dfrac{v^2}{2g}

    Put all the values,

    h=\dfrac{(8.9)^2}{2\times 9.8}\\\\h=4.04\ m

    So, the child is able to go at a height of 4.04 m.

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