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(a) You pull a box with a constant force across a

Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli ISBN: 9780130606204 3

Solution for problem 12Q Chapter 4

Physics: Principles with Applications | 6th Edition

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Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli

Physics: Principles with Applications | 6th Edition

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Problem 12Q

Problem

(a) You pull a box with a constant force across a frictionless table using an attached rope held horizontally. If you now pull the rope with the same force at an angle to the horizontal (with the box remaining flat on the table), does the acceleration of the box increase, decrease, or remain the same? Explain, (b) What if there is friction?

Step-by-Step Solution:

Problem 12Q

Solution 12Q:        We have to analyze the variation in acceleration when a force is applied is at an angle in absence and presence of friction.

                                         Step 1 of 3Concept:            Newton’s second law: The force F acts on mass m produces an acceleration a in the object. Mathematically,                                F=ma

Step 2 of 3</p>

A] Force applied at an angle, in absence of friction

As it is clear from figure (1) that when a constant force F is applied on the box, placed on a frictionless table, with the help of a rope, we find that entire magnitude of force F is responsible for creating acceleration acceleration a in the box of mass m, which can be given by the equation,

                                                                 ………(1)

        Now if the same force of magnitude F is applied at an angle  to the horizontal, we find that magnitude of acceleration in horizontal direction decreases, as the same force F get resolve along horizontal and vertical direction as shown in figure (2). Resolving the force F along horizontal and vertical direction, we get,

                                        

                                and        

Only the horizontal component is responsible for pulling the block along horizontal direction while the vertical component of force is balanced by the weight of the box. Therefore, the box moves due to force , corresponding acceleration is given as

                                 

Thus, when the box is pulled horizontally at an angle, the acceleration decreases.

Step 3 of 3

Chapter 4, Problem 12Q is Solved
Textbook: Physics: Principles with Applications
Edition: 6
Author: Douglas C. Giancoli
ISBN: 9780130606204

This full solution covers the following key subjects: box, rope, Table, Pull, Force. This expansive textbook survival guide covers 35 chapters, and 3914 solutions. This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6. The full step-by-step solution to problem: 12Q from chapter: 4 was answered by , our top Physics solution expert on 03/03/17, 03:53PM. Since the solution to 12Q from 4 chapter was answered, more than 1366 students have viewed the full step-by-step answer. The answer to “(a) You pull a box with a constant force across a frictionless table using an attached rope held horizontally. If you now pull the rope with the same force at an angle to the horizontal (with the box remaining flat on the table), does the acceleration of the box increase, decrease, or remain the same? Explain, (b) What if there is friction?” is broken down into a number of easy to follow steps, and 62 words. Physics: Principles with Applications was written by and is associated to the ISBN: 9780130606204.

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