A crate is to be just set into motion on a horizontal floor by pulling it with a rope…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

A 20 kg20\,\text{kg} crate is to be just set into motion on a horizontal floor by pulling it with a rope that makes an angle of 30∘30^{\circ} above the horizontal. If the coefficient of static friction between the crate and the floor is μs=0.40\mu_s = 0.40 and g=10 m s−2g = 10\,\text{m}\,\text{s}^{-2}, the minimum magnitude of the force required is closest to (a) 92 N92\,\text{N} (b) 80 N80\,\text{N} (c) 75 N75\,\text{N} (d) 95 N95\,\text{N}

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