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The device pictured in the figure entertains infants while keeping them from wandering


The device pictured in the figure entertains infants while keeping them from wandering. The child bounces in a harness, with a spring constant k, and is suspended off of the ground. 

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 Part (a) If the spring stretches x1 = 0.25 m from equilibrium while supporting an 8.5 kg child, what is its spring constant, in newtons per perter?

 Part (b) What is the time, in seconds, for one complete bounce of this child about the point x?

 Part (c) What is the child's maximum velocity, in meters per second, if the amplitude of her bounce, relative to x is 0.21 m?

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