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15 December, 09:44

A solid disk of radius 5.50 cm and mass 1.25 kg, which is rolling at a speed of 1.50 m/s, begins rolling without slipping up a 10.0° slope. How long will it take for the disk to come to a stop?

Express your answer with the appropriate units.

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  1. 15 December, 09:49
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    Deceleration of solid disk = g sin10/1 + k²/r² = g sin 10 / 1 + 1/2 = g sin 10 x 2/3

    [ k is radius of gyration of disk which is equal to (1/√2) x r ]

    deceleration a = - 1.1345 m/s²

    v = u - at, t = u / a = 1.5 / 1.1345 = 1.322 s.
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