A (1.0-mathrm{kg}) ring with an inner radius of (0.060 mathrm{~m}) and an outer radius of (0.080 mathrm{~m})

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A \(1.0-\mathrm{kg}\) ring with an inner radius of \(0.060 \mathrm{~m}\) and an outer radius of \(0.080 \mathrm{~m}\) is sent rolling without slipping up a ramp that makes an angle of \(30^{\circ}\) with the horizontal. If the initial speed of the ring is \(2.8 \mathrm{~m} / \mathrm{s}\), how far along the ramp does it travel before it comes to a stop?

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