Explanation Given: The angle of inclination of the hill = 18 0 The design speed of the car = 95 km/h = 95×1000 m 60×60 s =26 .39 m/s Formula Used: Radial acceleration of the car = v 2 R v : speed of the car R : radius of curvature Newton’s second law of motion ∑ F = m a Where, m is the mass and a is the acceleration. Calculation: Free body diagram and resolution of vector Apply Newton’s second law: m g cos θ - N = m v 2 R R = m v 2 m g cos θ - N For minimum radius, the normal reaction should be zero

7th Edition

ISBN: 9780321625922

Author: Douglas C. Giancoli

Publisher: Addison-Wesley

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Chapter 5, Problem 16P

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The minimum radius so that the car traveling at 95 km/h will not leave the road.

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Chapter 5, Problem 15P

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