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High School Math Algebra Algebra and Trigonometry: Structure and Method, Book 2

The natural length of the spring.

The natural length of the spring.

Algebra and Trigonometry: Structure and Method, Book 2

Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Question

Chapter 3.9, Problem 6P

To determine

To calculate: The natural length of the spring.

Expert Solution & Answer

Answer to Problem 6P

Therefore, the natural length of the spring is 64cm .

Explanation of Solution

Given information: The load of 8kg stretches the coil spring to length 76cm , and a load of 14kg stretches the coil spring to length 85cm .

Formula used: For calculation of load in coil spring,

F(x)=k(x−xi)where k is spring constant and xi is natural length.

Calculation: To calculate the load in coil spring,

F(x)=k(x−xi)For x=76cm⇒F(x)=8×9.88×9.8=k(76−xi)78.4=k(76−xi) ...(1)For x=85cm⇒F(x)=14×9.814×9.8=k(85−xi)137.2=k(85−xi) ...(2)Dividing equation(2) with equation (1),137.278.4=(85−xi)(76−xi)137.2(76−xi)=78.4(85−xi)xi=64So, putting value of xi in equation (1),k=6.53F(x)=6.53(x−64)

Therefore, the natural length of the spring is 64cm .

Chapter 3.9, Problem 5P

Chapter 3.9, Problem 7P

Chapter 3 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 3.1 - Prob. 1OE Ch. 3.1 - Prob. 2OE Ch. 3.1 - Prob. 3OE Ch. 3.1 - Prob. 4OE Ch. 3.1 - Prob. 5OE Ch. 3.1 - Prob. 6OE Ch. 3.1 - Prob. 7OE Ch. 3.1 - Prob. 8OE Ch. 3.1 - Prob. 9OE Ch. 3.1 - Prob. 10OE

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Prob. 9OE Ch. 3.10 - Prob. 10OE Ch. 3.10 - Prob. 11OE Ch. 3.10 - Prob. 12OE Ch. 3.10 - Prob. 13OE Ch. 3.10 - Prob. 14OE Ch. 3.10 - Prob. 15OE Ch. 3.10 - Prob. 16OE Ch. 3.10 - Prob. 17OE Ch. 3.10 - Prob. 18OE Ch. 3.10 - Prob. 19OE Ch. 3.10 - Prob. 20OE Ch. 3.10 - Prob. 21OE Ch. 3.10 - Prob. 22OE Ch. 3.10 - Prob. 23OE Ch. 3.10 - Prob. 24OE Ch. 3.10 - Prob. 1WE Ch. 3.10 - Prob. 2WE Ch. 3.10 - Prob. 3WE Ch. 3.10 - Prob. 4WE Ch. 3.10 - Prob. 5WE Ch. 3.10 - Prob. 6WE Ch. 3.10 - Prob. 7WE Ch. 3.10 - Prob. 8WE Ch. 3.10 - Prob. 9WE Ch. 3.10 - Prob. 10WE Ch. 3.10 - Prob. 11WE Ch. 3.10 - Prob. 12WE Ch. 3.10 - Prob. 13WE Ch. 3.10 - Prob. 14WE Ch. 3.10 - Prob. 15WE Ch. 3.10 - Prob. 16WE Ch. 3.10 - Prob. 17WE Ch. 3.10 - Prob. 18WE Ch. 3.10 - Prob. 19WE Ch. 3.10 - Prob. 20WE Ch. 3.10 - Prob. 21WE Ch. 3.10 - Prob. 22WE Ch. 3.10 - Prob. 23WE Ch. 3.10 - Prob. 24WE Ch. 3.10 - Prob. 25WE Ch. 3.10 - Prob. 26WE Ch. 3.10 - Prob. 27WE Ch. 3.10 - Prob. 28WE Ch. 3.10 - Prob. 29WE Ch. 3.10 - Prob. 30WE Ch. 3.10 - Prob. 31WE Ch. 3.10 - Prob. 32WE Ch. 3.10 - Prob. 33WE Ch. 3.10 - Prob. 34WE Ch. 3.10 - Prob. 35WE Ch. 3.10 - Prob. 36WE Ch. 3.10 - Prob. 37WE Ch. 3.10 - Prob. 1ST Ch. 3.10 - Prob. 2ST Ch. 3.10 - Prob. 3ST Ch. 3.10 - Prob. 4ST Ch. 3.10 - Prob. 5ST Ch. 3.10 - Prob. 6ST Ch. 3.10 - Prob. 7ST Ch. 3.10 - Prob. 8ST Ch. 3.10 - Prob. 9ST Ch. 3.10 - Prob. 1E Ch. 3.10 - Prob. 2E Ch. 3.10 - Prob. 3E Ch. 3.10 - Prob. 4E Ch. 3.10 - Prob. 5E Ch. 3 - Prob. 1CR Ch. 3 - Prob. 2CR Ch. 3 - Prob. 3CR Ch. 3 - Prob. 4CR Ch. 3 - Prob. 5CR Ch. 3 - Prob. 6CR Ch. 3 - Prob. 7CR Ch. 3 - Prob. 8CR Ch. 3 - Prob. 9CR Ch. 3 - Prob. 10CR Ch. 3 - Prob. 11CR Ch. 3 - Prob. 12CR Ch. 3 - Prob. 13CR Ch. 3 - Prob. 14CR Ch. 3 - Prob. 15CR Ch. 3 - Prob. 16CR Ch. 3 - Prob. 17CR Ch. 3 - Prob. 18CR Ch. 3 - Prob. 1CT Ch. 3 - Prob. 2CT Ch. 3 - Prob. 3CT Ch. 3 - Prob. 4CT Ch. 3 - Prob. 5CT Ch. 3 - Prob. 6CT Ch. 3 - Prob. 7CT Ch. 3 - Prob. 8CT Ch. 3 - Prob. 9CT Ch. 3 - Prob. 10CT Ch. 3 - Prob. 11CT Ch. 3 - Prob. 12CT Ch. 3 - Prob. 13CT Ch. 3 - Prob. 14CT Ch. 3 - Prob. 15CT Ch. 3 - Prob. 16CT Ch. 3 - Prob. 1CLR Ch. 3 - Prob. 2CLR Ch. 3 - Prob. 3CLR Ch. 3 - Prob. 4CLR Ch. 3 - Prob. 5CLR Ch. 3 - Prob. 6CLR Ch. 3 - Prob. 7CLR Ch. 3 - Prob. 8CLR Ch. 3 - Prob. 9CLR Ch. 3 - Prob. 10CLR Ch. 3 - Prob. 11CLR Ch. 3 - Prob. 12CLR Ch. 3 - Prob. 13CLR Ch. 3 - Prob. 14CLR Ch. 3 - Prob. 15CLR Ch. 3 - Prob. 16CLR Ch. 3 - Prob. 17CLR Ch. 3 - Prob. 18CLR Ch. 3 - Prob. 19CLR Ch. 3 - Prob. 20CLR Ch. 3 - Prob. 21CLR Ch. 3 - Prob. 22CLR Ch. 3 - Prob. 23CLR Ch. 3 - Prob. 24CLR Ch. 3 - Prob. 25CLR Ch. 3 - Prob. 26CLR Ch. 3 - Prob. 27CLR Ch. 3 - Prob. 28CLR

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