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24 May, 01:51

A horizontal 800 N merry go round is a solid disk of radius 1.50 m, started from rest by a constant horizontal force of 50.0 N applied tangentially to the edge of the disk. Find the kinetic energy of the disk after 3.00 s.

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  1. 24 May, 01:59
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    275.6 J

    Explanation:

    Weight, mg = 800 N

    m = 800 / 9.8 = 81.63 kg

    R = 1.5 m

    F = 50 N

    torque = I x α = F x R

    where, I be the moment of inertia

    α = F x R / I

    now, ω = ωo + α t

    ω = 0 + F x R x t / I

    Kinetic energy, K = 1/2 x I x ω^2

    K = 0.5 x (F^2 x R^2 x t^2) / I

    K = 0.5 x 50 x 50 x 1.5 x 1.5 x 3 x 3 / (0.5 x 81.63 x 1.5 x 1.5)

    K = 275.6 J
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