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26 February, 01:32

Caleb is swinging Rachel in a circle with a centripetal force of 533 N. If the radius of the circle is 0.75 m and Rachel has a mass of 16.4 kg, how fast is Rachel moving? Round to the nearest tenth.

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  1. 26 February, 02:37
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    Centripetal force = 533N

    radius = 0.75 m

    mass = 16.4 kg

    How fast is rachel moving? we are looking for v = velocity

    centripetal force = (mv^2) / r

    533 = ((16.4) (v^2)) /.75

    cross multiply

    (533) (.75) = (16.4) v^2

    ((533) (.75)) / 16.4 = v^2

    v^2 = 24.375

    take the square root

    v = 4.9

    Rachel is moving at 4.9 m/s
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