The diagram represents a contour map of a hilly island. Copy it into your lab notebook. The outer contour of the figure is at sea level. All points on any one particular contour line are at the same elevation (vertical distance above sea-level). The distance between any two contour lines in the diagram represents the horizontal distance between points on the two different contours. North is up.
1. Each contour line as you go inland represents ground that is at a constant elevation 5 meters higher than the previous contour.
a) At what points on the map are there steep cliffs? Show at least three places.
b) There are two high areas, label the eastern one A and the western one B. How high are they?
c) Mark a straight-line path to climb from sea level to the high point B with the most gentle slope.
d) You are interested in how much work it takes to lift your body mass from sea level to the B peak. If you follow the path you chose in part C will you minimize the amount of work to climb to the top, or will it make no difference?
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Based on our data, we think this problem is relevant for Professor Golub's class at Thomas Nelson Community College.