A box rests on a rough incline

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

Problem

A 10 kg10\,\text{kg} box rests on a rough 15∘15^{\circ} incline. The coefficient of static friction between the box and the incline is μs=0.50\mu_s = 0.50. What is the smallest force directed parallel to the incline and up the slope that will make the box just begin to move up the incline? (Use g=9.8 m ⁣/ ⁣s2g = 9.8\,\text{m}\!/\!\text{s}^2.) (a) 47.3 N47.3\,\text{N} (b) 25.4 N25.4\,\text{N} (c) 72.8 N72.8\,\text{N} (d) 98 N98\,\text{N}

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