Explanation Given: The height and square base of the solid box: h = 3 meter b = 2 meter Density of the material is 600 k g / m 3 Calculation: Think the column as a stack of n thin layers of width δ y = 4 n . Now, first compute the gravitational force on a thin layer of width δ y . It is given that that the height and square base of the solid box. Then, the volume of the solid box is V = area × width ⇒ V = 4 δ y m 3 Now to find the mass of the structure. As density = mass volume ⇒ mass = volume × density ⇒ mass = 4 δ y × 600 ⇒ mass = 2400 δ y k g Now, as per newton’s rule, force of the solid box is f = m g f = 2400 δ y × 9.8 f = 23520 δ y N The work performed in lifting in this layer to height y is equal to theforce time the distance y , which is ( 23520 δ y ) y .set L ( y ) = 23520 y ,then Work lifting to height y ≈ ( 23520 δ y ) = L ( y ) δ y This is only an approximation

4th Edition

ISBN: 9781319050740

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Question

Chapter 6.5, Problem 11E

To determine

To calculate:

the work against gravity required to build the structure out of a lightweight.

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Chapter 6.5, Problem 10E

Chapter 6.5, Problem 12E

Chapter 6 Solutions

Calculus: Early Transcendentals

Ch. 6.1 - Prob. 1PQ Ch. 6.1 - Prob. 2PQ Ch. 6.1 - Prob. 3PQ Ch. 6.1 - Prob. 4PQ Ch. 6.1 - Prob. 5PQ Ch. 6.1 - Prob. 6PQ Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E

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Prob. 29CRE Ch. 6 - Prob. 30CRE Ch. 6 - Prob. 31CRE Ch. 6 - Prob. 32CRE Ch. 6 - Prob. 33CRE Ch. 6 - Prob. 34CRE Ch. 6 - Prob. 35CRE Ch. 6 - Prob. 36CRE Ch. 6 - Prob. 37CRE Ch. 6 - Prob. 38CRE Ch. 6 - Prob. 39CRE Ch. 6 - Prob. 40CRE Ch. 6 - Prob. 41CRE Ch. 6 - Prob. 42CRE Ch. 6 - Prob. 43CRE Ch. 6 - Prob. 44CRE Ch. 6 - Prob. 45CRE Ch. 6 - Prob. 46CRE Ch. 6 - Prob. 47CRE Ch. 6 - Prob. 48CRE Ch. 6 - Prob. 49CRE Ch. 6 - Prob. 50CRE Ch. 6 - Prob. 51CRE Ch. 6 - Prob. 52CRE Ch. 6 - Prob. 53CRE Ch. 6 - Prob. 54CRE

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the work against gravity required to build the structure out of a lightweight.

Solution Summary: The author calculates the work against gravity required to build the structure out of a lightweight.

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To calculate: the work against gravity required to build the structure out of a lightweight.

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Chapter 6 Solutions

To calculate:

the work against gravity required to build the structure out of a lightweight.