Here is a graph that shows a resulting positionvs time graph of the astronaut when attachedto a spring with a spring constant of k = 240N/m. What is her speed when the spring is0.5 meters away from its most "squished"position?fPosition (meters)653cu100Astronaut Mass Determination Data1234Time (sec)5678

Time period: Time required to complete one peak (crest) and one low (trough) during each…

Answered: N/m. What is her speed when the spring…

Engineering

Mechanical Engineering

N/m. What is her speed when the spring is 0.5 meters away from its most "squished" position?f

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.

Question

Here is a graph that shows a resulting position
vs time graph of the astronaut when attached
to a spring with a spring constant of k = 240
N/m. What is her speed when the spring is
0.5 meters away from its most "squished"
position?f
Position (meters)
6
5
3
cu
1
0
0
Astronaut Mass Determination Data
1
2
3
4
Time (sec)
5
6
7
8

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Step 1: Draw the mean position for oscillatory motion and find time period using given graph.

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Step 2: Write the equation of motion for given oscillatory motion and find velocity equation.

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Step 3: Draw the person position when 0.5 m away from most squished position.

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Step 4: Calculate the position of person from mean position.

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Step 5: Find the corresponding time value at x=5 m.

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Step 6: Calculate the speed value at t=0.4 sec.

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