A block of weight is pulled across a horizontal surface at constant speed by a force…

PHYSICS · Single correct · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

A block of weight WW is pulled across a horizontal surface at constant speed by a force FF applied by a rope that makes an angle θ\theta above the horizontal. The coefficient of kinetic friction between the block and the surface is μk\mu_k. Which expression gives the magnitude of the pulling force FF? (a) F=μkWcos⁡θ−μksin⁡θF = \dfrac{\mu_k W}{\cos\theta - \mu_k\sin\theta} (b) F=μkWcos⁡θF = \dfrac{\mu_k W}{\cos\theta} (c) F=μkWcos⁡θ+μksin⁡θF = \dfrac{\mu_k W}{\cos\theta + \mu_k\sin\theta} (d) F=μkWsin⁡θ+μkcos⁡θF = \dfrac{\mu_k W}{\sin\theta + \mu_k\cos\theta}

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