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otherwise stated, in the following problems we | Ch 3.4 - 6E

Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider ISBN: 9780321747730 43

Solution for problem 6E Chapter 3.4

Fundamentals of Differential Equations | 8th Edition

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Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider

Fundamentals of Differential Equations | 8th Edition

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Problem 6E

Unless otherwise stated, in the following problems we assume that the gravitational force is constant with g = 9.81 m/sec2 in the MKS system and g = 32 ft/sec2 in the U.S. Customary System.An object of mass 8 kg is given an upward initial velocity of 20 m/sec and then allowed to fall under the influence of gravity. Assume that the force in newtons due to air resistance is -16y, where y is the velocity of the object in m/sec. Determine the equation of motion of the object. If the object is initially 100 m above the ground, determine when the object will strike the ground.

Step-by-Step Solution:

Solution:Step 1:The objective of this question first we have to determine the equation of motion of the object. If the object is initially 100 m above the ground, determine when the object will strike the ground.Step 2:Given that:Mass = m = 8 kg.Initial velocity = v0 =20 m/sec.Step 3:Expect that the force in newtons because of air resistance is - 16y, where y is the speed of the protest in m/sec. That is F1 = -16y.The force because of the gravity is F2 = -mg, here g is the gravitational drive because of the earth space. Along these lines, the net force following up on the question is:F= F1+ F2..Step 4:According to the Newton’s second law, that we havePut the value of m and g, we get= -8(9.8) -16y Divide the equation by 8= -9.8 - 2y

Step 5 of 8

Chapter 3.4, Problem 6E is Solved
Step 6 of 8

Textbook: Fundamentals of Differential Equations
Edition: 8
Author: R. Kent Nagle, Edward B. Saff, Arthur David Snider
ISBN: 9780321747730

The answer to “Unless otherwise stated, in the following problems we assume that the gravitational force is constant with g = 9.81 m/sec2 in the MKS system and g = 32 ft/sec2 in the U.S. Customary System.An object of mass 8 kg is given an upward initial velocity of 20 m/sec and then allowed to fall under the influence of gravity. Assume that the force in newtons due to air resistance is -16y, where y is the velocity of the object in m/sec. Determine the equation of motion of the object. If the object is initially 100 m above the ground, determine when the object will strike the ground.” is broken down into a number of easy to follow steps, and 106 words. Since the solution to 6E from 3.4 chapter was answered, more than 270 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. The full step-by-step solution to problem: 6E from chapter: 3.4 was answered by , our top Calculus solution expert on 07/11/17, 04:37AM. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. This full solution covers the following key subjects: Object, SEC, assume, velocity, system. This expansive textbook survival guide covers 67 chapters, and 2118 solutions.

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otherwise stated, in the following problems we | Ch 3.4 - 6E

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