One end of a horizontal string that has a linear mass density of (3.5 mathrm{~kg} / mathrm{m})

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One end of a horizontal string that has a linear mass density of \(3.5 \mathrm{~kg} / \mathrm{m}\) is displaced vertically at a speed of \(45 \mathrm{~m} / \mathrm{s}\) for \(6.7 \mathrm{~ms}\). The pulse created by this motion travels down the string at \(78 \mathrm{~m} / \mathrm{s}\). How much kinetic energy travels along the string?

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