A residential street includes a frictionless banked turn of radius

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

Problem

A residential street includes a frictionless banked turn of radius 120 m120\,\text{m}. For what banking angle should the turn be engineered so that drivers traveling at 25 m ⁣⋅ ⁣s−125\,\text{m}\!\cdot\!\text{s}^{-1} can negotiate the curve without relying on tire friction? (a) 32∘32^{\circ} (b) 62∘62^{\circ} (c) 28∘28^{\circ} (d) 15∘15^{\circ}

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