A test track features a circular turn of radius that is banked at an angle of

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

Problem

A test track features a circular turn of radius 50 m50\,\text{m} that is banked at an angle of 15∘15^{\circ}. What speed should a vehicle maintain to follow the turn without any assistance from friction? (a) 8.6 m ⁣⋅ ⁣s−18.6\,\text{m}\!\cdot\!\text{s}^{-1} (b) 43 m ⁣⋅ ⁣s−143\,\text{m}\!\cdot\!\text{s}^{-1} (c) 11.5 m ⁣⋅ ⁣s−111.5\,\text{m}\!\cdot\!\text{s}^{-1} (d) 23 m ⁣⋅ ⁣s−123\,\text{m}\!\cdot\!\text{s}^{-1}

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