Explanation The work done in stopping the vehicle equals the change in kinetic energy. Hence write the equation for the work done considering that the final velocity of the vehicle to be zero. W = 1 2 m v 2 − 1 2 m v 0 2 = 0 − 1 2 m v 0 2 (I) Here, W is the work done in stopping the vehicle, m is the mass of the vehicle, v is the final velocity of the vehicle and v 0 is the initial velocity of the vehicle. Write the equation for the work done in terms of the applied force. W = − f d (II) Here, W is the work done in stopping the vehicle, f is the force applied and d is the distance travelled by the vehicle before stopping. Compare equation (I) and equation (II). − 1 2 m v 0 2 = − f d d = v 0 2 2 f d ∝ v 0 2 (III) From equation (III), the stopping distance is proportional to the square of the initial velocity. Hence write the equation for the ratio of stopping distance when the initial velocity is 90 km/h to the stopping distance of the vehicle when the initial speed is 45 km/h

7th Edition

ISBN: 9780321601834

Author: Jerry D. Wilson, Anthony J. Buffa, Bo Lou

Publisher: Addison-Wesley

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Question

Chapter 5, Problem 33E

To determine

The stopping distance of the vehicle.

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Chapter 5, Problem 32E

Chapter 5, Problem 34E

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Chapter 5 Solutions

College Physics

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