At an amusement park, a swimmer uses a water slide to enter the main pool If the swimmer start at rest slides without friction and descend t

Question

At an amusement park, a swimmer uses a water slide to enter the main pool If the swimmer start at rest slides without friction and descend through a vertical height of 2.31m what is her speed at the bottom of the slide

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Nem 5 months 2021-08-27T20:23:22+00:00 1 Answers 8 views 0

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    2021-08-27T20:24:43+00:00

    Answer:

    v = 6.72 m/s

    Explanation:

    Given that,

    Vertical height, h = 2.31 m

    We need to find the speed at the bottom of the slide. Let the speed be v. We can find it using the conservation of energy such that,

    \dfrac{1}{2}mv^2=mgh\\\\v=\sqrt{2gh}

    Put all the values,

    v=\sqrt{2\times 9.8\times 2.31} \\\\v=6.72\ m/s

    So, her speed at the bottom of the slide is equal to 6.72 m/s.

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