The crate has mass m_c and rests on a surface for which the coefficients of static and kinetic friction are μ_s and μ_k respectively. If the motor M supplies a cable force of F = at² + b, determine the power output developed by the motor when t = t₁.

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Given: mc = 150 kg Hs = 0.3 Mk = 0.2 8 = 9.81 m a = 8 Z 2 b = = 20 N t1 = 5 s M