Concept explainers
(a)
The force exerted by the wind on the sail.
(a)
Answer to Problem 96P
The force exerted by the wind on the sail is
Explanation of Solution
Write the equation for the force exerted by the wind on the sail.
Here,
Write the equation for the area of the triangular sail.
Here,
Substitute equation (II) in equation (I).
Conclusion:
Substitute
Therefore, the force exerted by the wind on the sail is
(b)
The drag force due to water.
(b)
Answer to Problem 96P
The drag force due to water is
Explanation of Solution
Write the equation for the net force acting using Newton’s second law.
Here,
Conclusion:
Substitute
Therefore, the drag force due to water is
(c)
The increase in speed of the boat.
(c)
Answer to Problem 96P
The speed of the boat increases by
Explanation of Solution
Combine equation (I) and (III).
Write the equation for the drag force of the water using Stokes’ equation.
Combine equation (IV) and (V).
Rewrite equation (VI) when the speed of the wind is doubled.
Conclusion:
Find the ratio of equation (VI) to equation (VII).
Therefore, the speed of the boat increases by
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Chapter 3 Solutions
College Physics, Volume 1
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