Concept explainers
(a)
The terminal speed of the sphere.
(a)
Answer to Problem 35PQ
The terminal speed of the sphere is
Explanation of Solution
Write the given expression for resistive force on the sphere.
Here,
The negative sign indicates that the direction of the drag force is opposite to the velocity’s direction.
Write the velocity of the sphere.
Here,
If the time period
Rearrange the equation (II) for
Here,
If the object moves in its speed reaches one fourth of its terminal speed.
Substitute the equation (III) in equation (II).
Conclusion:
Substitute
Solve the above equation for
Substitute
Therefore, the terminal speed of the sphere is
(b)
The distance traveled by the sphere.
(b)
Answer to Problem 35PQ
The distance traveled by the sphere is
Explanation of Solution
Write the derivative form of the equation of velocity.
Here,
Compare the equation (II) and (V).
Rearrange the above equation for
Conclusion:
Substitute
Therefore, the distance traveled by the sphere is
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Chapter 6 Solutions
Physics for Scientists and Engineers: Foundations and Connections, Advance Edition, Volume 2
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