A small mass slides down an inclined plane of inclination with the horizontal

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

Problem

A small mass slides down an inclined plane of inclination θ\theta with the horizontal. The coefficient of friction is μ=μ0x\mu = \mu_0 x, where xx is the distance through which the mass slides down and μ0\mu_0 is a positive constant. Then the distance covered by the mass before it stops is (1) 2μ0tan⁡θ\frac{2}{\mu_0}\tan\theta (2) 4μ0tan⁡θ\frac{4}{\mu_0}\tan\theta (3) 12μ0tan⁡θ\frac{1}{2\mu_0}\tan\theta (4) 1μ0tan⁡θ\frac{1}{\mu_0}\tan\theta

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