Alice and Bill, who happen to have the same mass, both want to climb to the top of a mountain. Bill wants to take the steep path straight up, but Alice wants to take the path that gently winds around the mountain, even though it is 8 times longer than the steep path. They both eventually reach the top of the mountain, but Alice reaches the top in 1/3 the time that Bill takes using the steep route. How does the work that Alice did in climbing the mountain compare with the amount that Bill did? A Alice and Bill did the same amount of work. B Alice did 1/3 the amount of work that Bill did. Alice did twice the amount of work that Bill did. D Alice did 1/8 the amount of work that Bill did.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Alice and Bill, who happen to have the same mass, both want to climb to the top of a mountain. Bill wants to take the steep path straight up, but Alice
wants to take the path that gently winds around the mountain, even though it is 8 times longer than the steep path. They both eventually reach the top of
the mountain, but Alice reaches the top in 1/3 the time that Bill takes using the steep route. How does the work that Alice did in climbing the mountain
compare with the amount that Bill did?
(A Alice and Bill did the same amount of work.
(B) Alice did 1/3 the amount of work that Bill did.
c) Alice did twice the amount of work that Bill did.
D Alice did 1/8 the amount of work that Bill did.
Transcribed Image Text:Alice and Bill, who happen to have the same mass, both want to climb to the top of a mountain. Bill wants to take the steep path straight up, but Alice wants to take the path that gently winds around the mountain, even though it is 8 times longer than the steep path. They both eventually reach the top of the mountain, but Alice reaches the top in 1/3 the time that Bill takes using the steep route. How does the work that Alice did in climbing the mountain compare with the amount that Bill did? (A Alice and Bill did the same amount of work. (B) Alice did 1/3 the amount of work that Bill did. c) Alice did twice the amount of work that Bill did. D Alice did 1/8 the amount of work that Bill did.
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