A (70-mathrm{kg}) skier is being towed on a rope behind a (450-mathrm{kg}) snowmobile on a smooth, snow-covered

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A \(70-\mathrm{kg}\) skier is being towed on a rope behind a \(450-\mathrm{kg}\) snowmobile on a smooth, snow-covered surface at \(10 \mathrm{~m} / \mathrm{s}\) when the snowmobile hits a patch of muddy ground that brings it to a halt in \(10 \mathrm{~m}\).

(a) What is the average acceleration of the snowmobile while it is slowing?

(b) What is the average acceleration of the center of mass of the skier-snowmobile system?

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