Part 1. A force stretches a (first) wire by 2mm. This wire is made of an unknown material and has a 1.2cm diameter and 3.5cm length. A second wire of the same material has the same cross section and three times the length. How far will it be stretched by the same force? A) 0.33mm B) 0.50mm C) 2.00mm D) 6.00mm

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
Problem 67PQ
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Part 1. A force stretches a (first) wire by 2mm. This wire is made of an unknown material
and has a 1.2cm diameter and 3.5cm length. A second wire of the same material has the
same cross section and three times the length. How far will it be stretched by the same
force?
A) 0.33mm
B) 0.50mm
C) 2.00mm
D) 6.00mm
Part 2. A third wire of the same material has the same length but four times the diameter
as the first. How far will it be stretched by the same force?
A) 0.062mm
B) 0.125mm
C) 1.250mm
D) 2.000mm
Part 3. The 1st wire is replaced by a muscle bundle of same dimensions. It is pulled by the
force at a negligibly slow stretching speed. What is the muscle tension force?
A) 200,000N
B) 86.5N
C) 22.6N
D) 0.00N
Part 4. A muscle bundle has the same cross section and four times the length of the
bundle of Part 3. It is pulled by the force at a negligibly slow stretching speed. What is
the muscle tension force?
A) 200,000N
B) 86.5N
C) 22.6N
D) 0.00N
Part 5. A third muscle has the same length but 1.96 times the diameter as the first bundle.
It is again pulled by the force at a negligibly slow stretching speed. What is the muscle
tension force?
A) 200,000N
B) 86.5N
C) 22.6N
D) 0.00N
Part 6. This third muscle is now being shortened very quickly (i.e., as a tetanic pull), and
exactly at its maximal shortening speed. What is the muscle tension force?
A) 200,000N
B) 86.5N
C) 22.6N
D) 0.00N

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