Concept explainers
(a)
The slope of the straight line of the graph.
(a)
Answer to Problem 49AP
The slope of the straight line of the graph is
Explanation of Solution
Write the expression for the slope of the graph line.
Here,
Conclusion:
Substitute
Therefore, the slope of the straight line of the graph is
(b)
The theoretical slope of a graph of resistive force versus squared speed.
(b)
Answer to Problem 49AP
The theoretical slope of a graph of resistive force versus squared speed is
Explanation of Solution
Write the expression for the resistive force of the object.
Here,
Write the expression for the theoretical slope of a graph.
Here,
Conclusion:
Substitute
Therefore, the theoretical slope of a graph of resistive force versus squared speed is
(c)
The drag coefficient of the filters.
(c)
Answer to Problem 49AP
The drag coefficient of the filters is
Explanation of Solution
Write the expression for the cross-sectional area of the filters.
Here,
From part (b),
Write the expression for the theoretical slope of a graph of resistive force versus squared speed.
Here,
Rewrite the above expression for the drag coefficient of filters.
Substitute
Conclusion:
Substitute
Therefore, the drag coefficient of the filters is
(d)
The percentage of the scatter.
(d)
Answer to Problem 49AP
The percentage of the scatter is
Explanation of Solution
In this case the eighth point data is at force.
Write the expression for the magnitude of the resistive force at the eighth point.
Here,
Write the expression for the vertical resistive force.
Here,
Write the expression for the percentage of the scatter.
Here,
Conclusion:
Substitute
Substitute
Substitute
Therefore, the percentage of the scatter is
(e)
The state of the graph demonstrates and compares it with theoretical prediction.
(e)
Answer to Problem 49AP
The state of the graph demonstrates that the resistive force is proportional to the squared speed within an estimated as
Explanation of Solution
In this case, the coffee filters falling with a terminal speed.
A graph of air resistance force as a function of speed squared.
It demonstrated that the force of the falling coffee filters is proportional to the squared speed.
It is with an estimated value of
Conclusion:
The value of the slope of the graph indicates that the drag coefficient for the coffee filters is about
Therefore, the state of the graph demonstrates that the resistive force is proportional to the squared speed within an estimated as
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Chapter 6 Solutions
Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
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