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Explain how to find the work done in moving an object

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 3E Chapter 6.6

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 3E

Explain how to find the work done in moving an object along a line in the direction of a constant force.

Step-by-Step Solution:
Step 1 of 3

Solution 3E Step1 If an object is moving in a straight line with position function s(t), then the force F on the object at time t is the product of the mass of the object times its acceleration. d s F = m dt Step2 Note if velocity and acceleration have opposite signs, the force is acting in the direction opposite to the movement of the object. In the SI metric system, mass is measured in Kilograms (kg), displacement in meters (m) and the time is measured in seconds (s). The force is measured in Newtons; N = kg·m/s2 . A force of one Newton acting on a mass of 1 kg produces an acceleration of 1 m/s2 . In the British system the unit of force is a pound (lb). Step3 When a body moves a distance d along a straight line as a result of being acted on by a force of constant magnitude F, we define the work done by the force on the body with the formula; work = force × distance, W = F d. Note Forces applied in the direction of motion have positive values in this calculation and forces applied in a direction opposite to the direction of motion have negative values.

Step 2 of 3

Chapter 6.6, Problem 3E is Solved
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Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since the solution to 3E from 6.6 chapter was answered, more than 378 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 3E from chapter: 6.6 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This full solution covers the following key subjects: along, constant, direction, done, explain. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The answer to “Explain how to find the work done in moving an object along a line in the direction of a constant force.” is broken down into a number of easy to follow steps, and 21 words. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.

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Explain how to find the work done in moving an object