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A 40.0-kg packing case is initially at rest on the floor

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 85P Chapter 5

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 85P

A 40.0-kg packing case is initially at rest on the floor of a 1500-kg pickup truck. The coefficient of static friction between the case and the truck floor is 0.30, and the coefficient of kinetic friction is 0.20. Before each acceleration given below, the truck is traveling due north at constant speed. Find the magnitude and direction of the friction force acting on the case (a) when the truck accelerates at 2.20 m/s2 northward and (b) when it accelerates at 3.40 m/s2 southward.

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Solution 85P Mass of the case is = 40.0 kg Coefficient of static friction = 0.30 2 Static friction force is F s 0.30 × 40.0 kg × 9.8 m/s F =s117.6 N (a) When the truck accelerates northward at 2.20 m/s , the force on the case is = 40 kg × 2.20 m/s = 88.0 N This force lower than the static friction value of 117.6 N. Therefore, at the given 2 acceleration of 2.20 m/s the force of friction is 88.0 N. The direction of this friction force will be northward. (b) The coefficient of kinetic friction is k= 0.20 When the truck accelerates at 3.40 m/s southward, the force on the case is = 40.0 kg × 3.40 m/s = 136 N This value exceeds the static friction F = s17.6 N value. Therefore, the case will be in motion. So, the friction force on the case can be calculated as shown below. F k = k 40.0 kg × 9.8 m/s , is tke coefficient of kinetic friction. F = 0.20 × 392 N k F = 78.4 N k 2 Therefore, the friction force of the case when it accelerates at 3.40 m/s is 78.4 N. Since it is in motion now, the acceleration will be southward.

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Chapter 5, Problem 85P is Solved
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Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

The full step-by-step solution to problem: 85P from chapter: 5 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. University Physics was written by and is associated to the ISBN: 9780321675460. This full solution covers the following key subjects: TRUCK, Case, Friction, floor, coefficient. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. This textbook survival guide was created for the textbook: University Physics, edition: 13. Since the solution to 85P from 5 chapter was answered, more than 305 students have viewed the full step-by-step answer. The answer to “A 40.0-kg packing case is initially at rest on the floor of a 1500-kg pickup truck. The coefficient of static friction between the case and the truck floor is 0.30, and the coefficient of kinetic friction is 0.20. Before each acceleration given below, the truck is traveling due north at constant speed. Find the magnitude and direction of the friction force acting on the case (a) when the truck accelerates at 2.20 m/s2 northward and (b) when it accelerates at 3.40 m/s2 southward.” is broken down into a number of easy to follow steps, and 83 words.

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A 40.0-kg packing case is initially at rest on the floor