A ladybug initially sits at the outer edge of a merry-go-round and completes one revolution every second. Bored with life on the outer edge

Question

A ladybug initially sits at the outer edge of a merry-go-round and completes one revolution every second. Bored with life on the outer edge the ladybug heads to a new position halfway between the axis of rotation and her initial position. The centripetal acceleration of the ladybug in her new position is _________ of her original centripetal acceleration. Select the answer that correctly completes the previous sentence.

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RuslanHeatt 6 months 2021-07-26T21:34:36+00:00 1 Answers 2 views 0

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    2021-07-26T21:36:01+00:00

    Answer:

    Half of her original centripetal acceleration

    Explanation:

    Centripetal force Fc = mrw^2

    Where m is mass, w is angular speed and r is the radius.

    Recall that force F = ma

    Where a is acceleration.

    Comparing the two force, one can see that centripetal acceleration Ac is equal to rw^2.

    For initial position, radius is equal to r, therefore Ac = rw^2

    For second position, radius = r/2, therefore Ac = (rw^2)/2

    Comparing the two acceleration, one can see that the acceleration for the final position is half the acceleration of the original position.

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