(a)
The slope of the straight line, including units.
(a)
Answer to Problem 6.49AP
The slope of the straight line is
Explanation of Solution
From the Figure, the terminal speed of the filters is
Formula to calculate the slope is,
Substitute
Conclusion:
Therefore, the slope of the straight line is
(b)
The theoretical slope of a graph of resistive force versus squared speed.
(b)
Answer to Problem 6.49AP
The theoretical slope of a graph of resistive force versus squared speed is
Explanation of Solution
Given info:
The expression for the resistive force is,
Here,
Formula to calculate the slope is,
Substitute
Conclusion:
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 6.49AP
The drag coefficient of the filters is
Explanation of Solution
Given info: Radius of the circle is
Formula to calculate the area of the circle is,
Here,
Substitute
Thus, the area of the circle is
Formula to calculate the drag coefficient is,
Here,
Substitute
Conclusion:
Therefore, the drag coefficient of the filters is
(d)
The vertical separation from the line best fit for the eight data point.
(d)
Answer to Problem 6.49AP
The vertical separation from the line best fit for the eight data point is
Explanation of Solution
Given info:
Form the Figure (1), the force at point 8 in the graph, the mass off the coffee is
Formula to calculate the force at point 8 is,
Substitute
The terminal speed of the filters is
The vertical separation from the line best fit for the eight data point is,
Conclusion:
Therefore, the vertical separation from the line best fit for the eight data point is
(e)
The explanation for what graph explains and compare it with the theoretical prediction.
(e)
Answer to Problem 6.49AP
The graph for the coffee filter falling in air at terminal speed shows the resistance force is a function of the terminal speed squared which gives the air resistance.
Explanation of Solution
Given info:
The drag coefficient of the filters is
Thus, the constant slope of the graph is,
The graph for the coffee filter falling in air at terminal speed shows the resistance force is a function of the terminal speed squared which gives the air resistance.
The expression for the resistive force is,
From this given expression,
Thus, the graph of the resistive force is directly proportional to the terminal speed squared.
Conclusion:
Therefore, the graph for the coffee filter falling in air at terminal speed shows the resistance force is a function of the terminal speed squared which gives the air resistance.
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Chapter 6 Solutions
Physics for Scientists and Engineers, Volume 1
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- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning