College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Chapter 11, Problem 38P
Weighing astronauts. In order to study the long-term effects of weightlessness, astronauts in space must be weighed (or at least “massed”). One way in which this is done is to seat them in a chair of known mass attached to a spring of known force constant and measure the period of the oscillations of this system. If the 35.4 kg chair alone oscillates with a period of 1.25 s, and the period with the astronaut sitting in the chair is 2.23 s, find (a) the force constant of the spring and (b) the mass of the astronaut.
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In order to study the long-term effects of weightlessness,
astronauts in space must be weighed (or at least "massed). One
way in which this is done is to seat them in a chair of known mass
attached to a spring of known force constant and measure the
period of the oscillations of this system. The 36.4-kg chair alone
oscillates with a period of 1.25 s, and the period with the
astronaut sitting in the chair is 2.24 s.
Part A
Find the force constant of the spring
Express your answer in newtons per meter.
k=
N/m
Submit
Request Answer
• Part B
Find the mass of the astronaut.
Express your answer in kilograms.
kg
As we’ve seen, astronauts measure their mass by measuring the period of oscillation when sitting in a chair connected to a spring. The Body Mass Measurement Device on Skylab, a 1970s space station, had a spring constant of 606 N/m. The empty chair oscillated with a period of 0.901 s. What is the mass of an astronaut who oscillates with a period of 2.09 s when sitting in the chair?
The graph shown in the figure (Figure 1) closely approximates the displacement at of a
tuning fork as a function of time t as it is playing a single note.
Figure
x(mm)
0.4
0.2
-0.2
-0.4
AMA
2
(ms)
1 of 1
What is the amplitude of this fork's motion?
A =
Submit
Part B
T =
What is the period of this fork's motion?
Submit
Part C
| ΑΣΦ
Request Answer
| ΑΣΦ
What is the frequency of this fork's motion?
f = 426
Part D
Request Answer
ΠΑΣΦ
Submit Previous Answers Request Answer
w = 2π
(224)
What is the angular frequency of this fork's motion?
ID ΑΣΦ
?
* Incorrect; Try Again; 4 attempts remaining
?
?
?
mm
mns
Hz
rad/s
Pearson
Chapter 11 Solutions
College Physics (10th Edition)
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