A body starts from rest on a long inclined plane of slope

PHYSICS · Single correct · AP · Physics C: Mechanics · Force and Translational Dynamics · Force and Translational Dynamics

Problem

A body starts from rest on a long inclined plane of slope 45∘45^\circ. The coefficient of friction between the body and the plane varies as μ=0.3x\mu = 0.3x, where xx is distance travelled down the plane. The body will have maximum speed (for g=10 m/s2g = 10 \text{ m/s}^2) when x=x = (1) 9.8 m9.8 \text{ m} (2) 27 m27 \text{ m} (3) 12 m12 \text{ m} (4) 3.33 m3.33 \text{ m}

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