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# otherwise stated, in the following problems we | Ch 3.4 - 21E ## Problem 21E Chapter 3.4

Fundamentals of Differential Equations | 8th Edition

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Problem 21E

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.A sailboat has been running (on a straight course) under a light wind at 1 m/sec. Suddenly the wind picks up, blowing hard enough to apply a constant force of 600 N to the sailboat. The only other force acting on the boat is water resistance that is proportional to the velocity of the boat. If the proportionality constant for water resistance is b = 100 N-sec/m and the mass of the sailboat is 50 kg, find the equation of motion of the sailboat. What is the limiting velocity of the sailboat under this wind?

Step-by-Step Solution:

Solution Step 1 Here it is given that there are two forces acting on a sailboat1. Constant horizontal force due to the wind 2. Force due to water resistance opposing the motion of sailboat Also we can see that all the motions are along the horizontal axis. Step 2 Force due to the wind = 600NLet initial velocity be u By Newton’s second law of motion 50Using the integrating constant Now integrating both sides

Step 3 of 3

##### ISBN: 9780321747730

Since the solution to 21E from 3.4 chapter was answered, more than 232 students have viewed the full step-by-step answer. Fundamentals of Differential Equations was written by and is associated to the 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.A sailboat has been running (on a straight course) under a light wind at 1 m/sec. Suddenly the wind picks up, blowing hard enough to apply a constant force of 600 N to the sailboat. The only other force acting on the boat is water resistance that is proportional to the velocity of the boat. If the proportionality constant for water resistance is b = 100 N-sec/m and the mass of the sailboat is 50 kg, find the equation of motion of the sailboat. What is the limiting velocity of the sailboat under this wind?” is broken down into a number of easy to follow steps, and 128 words. The full step-by-step solution to problem: 21E from chapter: 3.4 was answered by , our top Calculus solution expert on 07/11/17, 04:37AM. This full solution covers the following key subjects: sailboat, SEC, Force, wind, constant. This expansive textbook survival guide covers 67 chapters, and 2118 solutions. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8.

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otherwise stated, in the following problems we | Ch 3.4 - 21E

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Get Full Access to Fundamentals Of Differential Equations - 8 Edition - Chapter 3.4 - Problem 21e

Get Full Access to Fundamentals Of Differential Equations - 8 Edition - Chapter 3.4 - Problem 21e