Air resistance has a quadratic velocity dependence. Water resistance usually has a linear velocity dependence. Consider a bicycle on a road where air resistance is the dominant resistive force on it. Also consider a canoeist on a lake where water resistance is the most important resistive force. As they move, they are both getting tired at the same rate. At the speeds they are both going, the force the canoeist exerts is 1.5 times as big as the force the cyclist exerts. The rate at which someone gets tired is proportional to the force they exert times the velocity at which they are going. Hint: To answer these questions you will have to consider ratios of things at the beginning to things at the end. If both people increase their speed by 50%, which of them will get tired faster? O The bicyclist. O They both get tired at the same rate. O The canoeist. O Not enough information is given to determine an answer. Which person will be exerting the larger force at the 50% higher speed? O They have the same force. O The bicyclist. O The canoeist. O Not enough information is given to determine an answer.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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The next two problems have to do with this scenario:
Air resistance has a quadratic velocity dependence. Water resistance usually has a linear velocity dependence.
Consider a bicycle on a road where air resistance is the dominant resistive force on it. Also consider a canoeist
on a lake where water resistance is the most important resistive force. As they move, they are both getting
tired at the same rate. At the speeds they are both going, the force the canoeist exerts is 1.5 times as big as
the force the cyclist exerts. The rate at which someone gets tired is proportional to the force they exert times
the velocity at which they are going.
Hint: To answer these questions you will have to consider ratios of things at the beginning to things at the end.
If both people increase their speed by 50%, which of them will get tired faster?
O The bicyclist.
O They both get tired at the same rate.
O The canoeist.
O Not enough information is given to determine an answer.
Which person will be exerting the larger force at the 50% higher speed?
O They have the same force.
O The bicyclist.
O The canoeist.
O Not enough information is given to determine an answer.
Transcribed Image Text:The next two problems have to do with this scenario: Air resistance has a quadratic velocity dependence. Water resistance usually has a linear velocity dependence. Consider a bicycle on a road where air resistance is the dominant resistive force on it. Also consider a canoeist on a lake where water resistance is the most important resistive force. As they move, they are both getting tired at the same rate. At the speeds they are both going, the force the canoeist exerts is 1.5 times as big as the force the cyclist exerts. The rate at which someone gets tired is proportional to the force they exert times the velocity at which they are going. Hint: To answer these questions you will have to consider ratios of things at the beginning to things at the end. If both people increase their speed by 50%, which of them will get tired faster? O The bicyclist. O They both get tired at the same rate. O The canoeist. O Not enough information is given to determine an answer. Which person will be exerting the larger force at the 50% higher speed? O They have the same force. O The bicyclist. O The canoeist. O Not enough information is given to determine an answer.
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