A high-speed lifting mechanism supports a(n) 880-kg object with a steel cable that is 28.0 m long and 4.00 cm² in cross-sectional area. (a) Determine the elongation of the cable. (Enter your answer to at least two decimal places.) mm (b) By what additional amount does the cable increase in length if the object is accelerated upwards at a rate of 3.1 m/s²? mm (c) What is the greatest mass that can be accelerated upward at 3.1 m/s² if the stress in the cable is not to exceed the elastic limit of the cable, which is 2.2 x 108 Pa? kg

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Physics And Measurement
Section: Chapter Questions
Problem 1.67AP: A rod extending between x = 0 and x = 14.0 cm has uniform cross-sectional area A = 9.00 cm2. Its...
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A high-speed lifting mechanism supports a(n) 880-kg object with a steel cable that is 28.0 m long and 4.00 cm² in cross-sectional area.
(a) Determine the elongation of the cable. (Enter your answer to at least two decimal places.)
mm
(b) By what additional amount does the cable increase in length if the object is accelerated upwards at a rate of 3.1 m/s²?
mm
(c) What is the greatest mass that can be accelerated upward at 3.1 m/s² if the stress in the cable is not to exceed the elastic limit
of the cable, which is 2.2 x 10³ Pa?
kg
Transcribed Image Text:A high-speed lifting mechanism supports a(n) 880-kg object with a steel cable that is 28.0 m long and 4.00 cm² in cross-sectional area. (a) Determine the elongation of the cable. (Enter your answer to at least two decimal places.) mm (b) By what additional amount does the cable increase in length if the object is accelerated upwards at a rate of 3.1 m/s²? mm (c) What is the greatest mass that can be accelerated upward at 3.1 m/s² if the stress in the cable is not to exceed the elastic limit of the cable, which is 2.2 x 10³ Pa? kg
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