Lou has devised a new kiddie ride and is testing it for safety. A child is placed

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Lou has devised a new kiddie ride and is testing it for safety. A child is placed on a large block that is attached to a horizontal spring. When pulled back and released, the child and block oscillate with a period of 2 s.

(a) If the coefficient of static friction between the child and the block is 0.25, will an amplitude of 1 m cause the child to slip?

(b) What is the maximum amplitude that will avoid slipping?

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