Concept explainers
(a)
The number of times terminal speed greater than for steel sphere that of the wooden sphere.
(a)
Answer to Problem 92P
The steel’s sphere terminal speed is 4 times greater than for the velocity of wooden sphere.
Explanation of Solution
Write the expression for terminal velocity of the object.
Here,
The cross sectional area of the sphere is,
Here,
Rewrite the above equation for terminal velocity of wooden sphere.
Here,
Rewrite the equation (I) for terminal velocity of steel sphere.
Here,
Conclusion:
Solve the equation (III) and (IV).
Rewrite the above relation by using equation (2).
Substitute
Therefore, the steel’s sphere terminal speed is 4 times greater than for the velocity of wooden sphere, due to its smaller cross sectional area.
(b)
The ratio of the terminal speed of the steel sphere to that of wooden sphere.
(b)
Answer to Problem 92P
The terminal velocity of the steel sphere is twice the velocity of the wooden sphere due to its higher mass.
Explanation of Solution
From part (a),
The ratio of the terminal speed of the steel sphere to that of wooden sphere for different mass of the sphere with same cross sectional area is,
Conclusion:
Substitute
Therefore, the terminal velocity of the steel sphere is twice the velocity of the wooden sphere due to its higher mass.
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Chapter 3 Solutions
COLLEGE PHYSICS,VOL.1
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