A snowboarder and her board (combined mass 40.0 kgkg) are moving at 9.30 m/sm/s at the bottom of a curved ditch. If friction can be ignored,

Question

A snowboarder and her board (combined mass 40.0 kgkg) are moving at 9.30 m/sm/s at the bottom of a curved ditch. If friction can be ignored, what is the maximum vertical distance that she can travel up the sides of the ditch?

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Maris 4 weeks 2021-08-17T16:01:56+00:00 1 Answers 1 views 0

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    2021-08-17T16:03:10+00:00

    Answer:

    Explanation:

    Since energy is conserved

    Then, the kinetic energy is transformed to kinetic energy.

    So Kinetic energy is given as

    K.E=½mv²

    And the potential energy is given as

    P.E=mgh

    Since, P.E=K.E

    Then,

    mgh=½mv²

    Divide through by m

    gh=½v²

    Multiply through by 2

    2gh=v²

    Then, h=v²/2g

    Given that,

    The velocity is v=9.3m/s

    And g is acceleration due to gravity g=9.81m/s²

    So applying this, h=v²/2g

    h=9.3²/2×9.81

    h=4.41m

    The maximum height reached is 4.41m.

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