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The question in this example (page 106, example 3.8b on work and energy) is:
A bicyclist skids to a complete stop under three different scenarios
I. on a dry flat road while travelling at 10.17 m/s (uk = 0.72)
II. on a wet flat road while travelling at 10.36 m/s (uk = 0.60)
III. On an oily road with a slight downward slope while travelling at 9.87 m/s (uk = 0.37)
What can be said when comparing the three scenarios?
A. Less work is done by the road on the bicyclist in Scenario I than in Scenario II
B. Less work is done by the road on the bicyclist in Scenario II than in Scenario III
C. The amount of kinetic energy lost by the bicyclist in Scenario III depends on the angle of the downward slope
D. The amount of work done on the bicyclist in Scenario III depends on the angle of the downward slope.
Answer: D
The answer key states that D is the correct answer - I've attached the solution explanation to this post as well. While I understand why D is correct, I don't fully understand why option A is incorrect. I would have thought that less work is done by the road on the bicyclist in Scenario I than in Scenario II, since vi (and so change in KE = W, since vf=0 in all three scenarios) is lower in Scenario I (10.71 m/s) than in Scenario II (10.36 m/s).
Re-reading the solution explanation, it seems to conflict directly with the question (ex: "the bicyclist is going fastest in scenario I") that's left me pretty confused. Any help would be appreciated!
A bicyclist skids to a complete stop under three different scenarios
I. on a dry flat road while travelling at 10.17 m/s (uk = 0.72)
II. on a wet flat road while travelling at 10.36 m/s (uk = 0.60)
III. On an oily road with a slight downward slope while travelling at 9.87 m/s (uk = 0.37)
What can be said when comparing the three scenarios?
A. Less work is done by the road on the bicyclist in Scenario I than in Scenario II
B. Less work is done by the road on the bicyclist in Scenario II than in Scenario III
C. The amount of kinetic energy lost by the bicyclist in Scenario III depends on the angle of the downward slope
D. The amount of work done on the bicyclist in Scenario III depends on the angle of the downward slope.
Answer: D
The answer key states that D is the correct answer - I've attached the solution explanation to this post as well. While I understand why D is correct, I don't fully understand why option A is incorrect. I would have thought that less work is done by the road on the bicyclist in Scenario I than in Scenario II, since vi (and so change in KE = W, since vf=0 in all three scenarios) is lower in Scenario I (10.71 m/s) than in Scenario II (10.36 m/s).
Re-reading the solution explanation, it seems to conflict directly with the question (ex: "the bicyclist is going fastest in scenario I") that's left me pretty confused. Any help would be appreciated!