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Question
A mother pushes her child on a swing so that his speed is 9.00 m/s at the lowest point of his path. The swing is suspended 2.00 m above the child's center of mass. (a) What is the magnitude of the centripetal acceleration of the child at the low point? (b) What is the magnitude of the force the child exerts on the seat if his mass is 18.0 kg? (c) What is unreasonable about these results? (d) Which premises are unreasonable or inconsistent?
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Final Answer
  1. $905 \textrm{ N}$
  2. The force exerted by the swing is 5.1 times the weight of the child. This is excessive.
  3. The swing speed is overstated.
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OpenStax College Physics Solution, Chapter 6, Problem 22 (Problems & Exercises) (2:29)

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