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15 February, 08:14

A dog chases a cat in a circular path around the base of a tree. The velocity of the dog is 5.4 m/s. If the centripetal acceleration of the dog is 48.6 m/s2, what is the radius of the path?

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  1. 15 February, 09:43
    0
    Given:

    Velocity of the dog, v = 5.4 m/s

    Centripetal acceleration, a = 48.6 m/s2

    To determine:

    Radius of the path

    Explanation:

    The centripetal acceleration is related to the velocity and radius as:

    a = v²/r

    r = v²/a = (5.4 m/s) ²/48.6 m/s2 = 0.6 m

    Ans: Radius of the path is 0.6 m
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