University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Textbook Question
Chapter 6, Problem 6.46E
Half or a Spring. (a) Suppose you cut a massless ideal spring in half. If the full spring had a force constant k, what is the force constant of each half, in terms of k? (Hint: Think of the original spring as two equal halves, each producing the same force as the entire spring. Do you see why the forces must be equal?) (b) If you cut the spring into three equal segments instead, what is the force constant of each one, in terms of k?
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You have a light spring which obeys Hooke's law. This spring stretches 2.88 cm vertically when a 2.80 kg object is
suspended from it. Determine the following.
(a) the force constant of the spring (in N/m)
N/m
(b) the distance (in cm) the spring stretches if you replace the 2.80 kg object with a 1.40 kg object
cm
(c) the amount of work (in J) an external agent must do to stretch the spring 8.00 cm from its unstretched position
Supporting Materials
You have a light spring which obeys Hooke's law. This spring stretches 2.54 cm vertically when a 2.40 kg object is suspended from it. Determine the following.
(a) the force constant of the spring (in N/m)
N/m
(b) the distance (in cm) the spring stretches if you replace the 2.40 kg object with a 1.20 kg object
cm
(c) the amount of work (in J) an external agent must do to stretch the spring 7.70 cm from its unstretched position
Additional Materials
A spring is extended by 50 mm with the application of a force of 10N, and the spring constant is found to be 200 N/m? The magnitude required to extend he same spring by 80 mm is 16N?
If a force of 20N is applied to the same spring and the total length of the spring is 200mm, what is the length of the relaxed spring with no force applied? (in units of m)
Chapter 6 Solutions
University Physics (14th Edition)
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