In a test to determine the crushing characteristics of a packing material, a steel cone of mass m = 2.6 kg is released, falls a distance h = 700 mm, and then penetrates the material. The radius of the cone is proportional to the square of the distance from its tip. The resistance R of the material to penetration depends on the cross-sectional area of the penetrating object and thus is proportional to the fourth power of the cone penetration distance x, or R = kx4. If the cone comes to rest at a distance x = 28 mm, determine the constant k in terms of the test conditions and results. Utilize a single application of the work-energy equation.

Solid Waste Engineering
3rd Edition
ISBN:9781305635203
Author:Worrell, William A.
Publisher:Worrell, William A.
Chapter5: Separation Processes
Section: Chapter Questions
Problem 5.33P: According to Figure 5-20, is ii possible to completely separate one of the four materials from the...
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In a test to determine the crushing characteristics of a packing material, a steel cone of mass m = 2.6 kg is released, falls a distance h = 700 mm, and then penetrates the material. The radius of the cone is proportional to the square of the distance from its tip. The resistance R of the material to penetration depends on the cross-sectional area of the penetrating object and thus is proportional to the fourth power of the cone penetration distance x, or R = kx4. If the cone comes to rest at a distance x = 28 mm, determine the constant k in terms of the test conditions and results. Utilize a single application of the work-energy equation.

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Chapter 3, Practice Problem 3/056
In a test to determine the crushing characteristics of a packing material, a steel cone of mass m = 2.6 kg is released, falls a distance h = 700 mm, and then penetrates the material. The radius of the cone is
proportional to the square of the distance from its tip. The resistance R of the material to penetration depends on the cross-sectional area of the penetrating object and thus is proportional to the fourth power of the
cone penetration distance x, or R = kx4. If the cone comes to rest at a distance x = 28 mm, determine the constantk in terms of the test conditions and results. Utilize a single application of the work-energy
equation.
h
Answer: k =
|(10°) N/m4
the tolerance is +/-2%
Click if you would like to Show Work for this question: Open Show Work
LINK TO TEXT
Question Attempts: Unlimited
SUBMIT ANSWER
SAVE FOR LATER
Transcribed Image Text:PRINTER VERSION 4ВАСK NEXT Chapter 3, Practice Problem 3/056 In a test to determine the crushing characteristics of a packing material, a steel cone of mass m = 2.6 kg is released, falls a distance h = 700 mm, and then penetrates the material. The radius of the cone is proportional to the square of the distance from its tip. The resistance R of the material to penetration depends on the cross-sectional area of the penetrating object and thus is proportional to the fourth power of the cone penetration distance x, or R = kx4. If the cone comes to rest at a distance x = 28 mm, determine the constantk in terms of the test conditions and results. Utilize a single application of the work-energy equation. h Answer: k = |(10°) N/m4 the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work LINK TO TEXT Question Attempts: Unlimited SUBMIT ANSWER SAVE FOR LATER
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