### What is the maximum height the child can jump on the scale

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A child is playing by jumping on a bathroom scale. The mass of the child is 31 kg and when he stands on a bathroom scale, the spring inside the scale compresses 0.46 mm. Spring constant is 6.6e5. If the scale will be damaged if the force exceeds 38000 N, what is the maximum height the child can jump on the scale so the scale will not be damaged?

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