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A pickup truck is carrying a toolbox, but the rear gate of

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

Solution for problem 32E 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 32E

A pickup truck is carrying a toolbox, but the rear gate of the truck is missing. The toolbox will slide out if it is set moving. The coefficients of kinetic friction and static friction between the box and the level bed of the truck are 0.355 and 0.650, respectively. Starting from rest, what is the shortest time this truck could accelerate uniformly to 30.0 m/s without causing the box to slide? Draw a free-body diagram of the toolbox.

Step-by-Step Solution:

Solution 32E Step 1 In this case the tool box is not sliding, so we will use the static friction. Suppose m is the mass of the tool box. So the maximum frictional force on the toolbox is F = fmg Now the maximum force that can be applied due to acceleration is F = Fa. f Fa F f mg Hence the maximum possible acceleration is a = m = m = m = g We know that = 0.650 2 And g = 9.8 m/s Hence the maximum possible acceleration is a = (0.650)(9.8 m/s ) = 6.37 m/s 2 Now the truck is starting from rest and the final velocity of the truck is v = 30.0 m/s. Now from the dynamics we know that, if an object starts from rest and accelerate for time t, we must have v = at v 30.0 m/s t = a = 6.37 m/s 4.71 s Hence the shortest time that the truck could accelerate uniformly to 30.0 m/s is 4.71 s.

Step 2 of 2

Chapter 5, Problem 32E is Solved
Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

Since the solution to 32E from 5 chapter was answered, more than 910 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: University Physics, edition: 13. University Physics was written by and is associated to the ISBN: 9780321675460. The answer to “A pickup truck is carrying a toolbox, but the rear gate of the truck is missing. The toolbox will slide out if it is set moving. The coefficients of kinetic friction and static friction between the box and the level bed of the truck are 0.355 and 0.650, respectively. Starting from rest, what is the shortest time this truck could accelerate uniformly to 30.0 m/s without causing the box to slide? Draw a free-body diagram of the toolbox.” is broken down into a number of easy to follow steps, and 78 words. This full solution covers the following key subjects: TRUCK, toolbox, box, slide, Friction. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The full step-by-step solution to problem: 32E from chapter: 5 was answered by , our top Physics solution expert on 05/06/17, 06:07PM.

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