Which of the following reasoning most accurately explains why the initial slope of a…

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

Problem

Which of the following reasoning most accurately explains why the initial slope of a graph of static friction magnitude versus applied horizontal force equals 1? (a) The normal force on a horizontal surface equals the applied horizontal force, so the ratio fs/Fappf_s/F_{\text{app}} is always 11 at small forces, producing a unit slope. (b) Because static friction automatically adjusts to equal the applied horizontal force while the object remains at rest, so fs=Fappf_s=F_{\text{app}}; plotting one against the other therefore gives a straight line of slope 11 through the origin. (c) The slope equals the coefficient of static friction μs\mu_s, and because many surfaces have μs≈1\mu_s\approx1, the initial slope is about 11.},{ (d) Because kinetic friction is less than static friction, the static-friction graph must start flatter than a 45∘45^{\circ} line, so the slope is less than 11.}

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