Student Workbook for College Physics: A Strategic Approach Volume 1 (Chs. 1-16)
3rd Edition
ISBN: 9780321908865
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Chapter 14, Problem 64GP
A jellyfish can propel itself with jets of water pushed out of its bell, a flexible structure on top of its body. The elastic bell and the water it contains function as a mass-spring system, greatly increasing efficiency. Normally, the jellyfish emits one jet right after the other, but we can get some insight into the jet system by looking at a single jet thrust. Figure P14.64 shows a graph of the motion of one point in the wall of the bell for such a single jet; this is the pattern of a damped oscillation. The spring constant for the bell can be estimated to be 1.2 N/m.
Figure P14.64
- a. What is the period for the oscillation?
- b. Estimate the effective mass participating in the oscillation. This is the mass of the bell itself plus the mass of the water.
- c. Consider the peaks of positive displacement in the graph. By what factor does the amplitude decrease over one period? Given this, what is the time constant for the damping?
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Chapter 14 Solutions
Student Workbook for College Physics: A Strategic Approach Volume 1 (Chs. 1-16)
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