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An acrobat with a mass of 89.0kg falls from a height of 6.1m onto a safety springboard that has a spring constant of 9246N/m. It
An acrobat with a mass of 89.0kg falls from a height of 6.1m onto a safety springboard that has a spring constant of 9246N/m. It takes the springboard 0.5s to fully compress and decompress. Assume that air resistance is negligible. (a) What is the speed of the acrobat when the acrobat has fallen down to the uncompressed springboard? (b) What is the maximum compression of the springboard? (c) What is the maximum force that the acrobat experiences during the spring's compression? (d) There is a limit to the amount of "g" acceleration that humans can tolerate before serious damage can occur; that is, we need to know how many multiples of 9.8m/s2, e.g " 2g " is 2g=19.6m/s2. It has been shown that this tolerance is dependent on the duration time and the orientation of the person. For example, a person can typically tolerate a "23g" upward acceleration if it lasts less than 0.08s, an "11g" upward acceleration if it lasts less than 0.1s and a "9g" acceleration if it lasts less than 3s, while an elevator may typically accelerate at less than "0.1g". With this in mind, what would you think about this experience if you were the acrobat? (Include a reference to any acceleration values that you can calculate.)
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