Gravitational Potential Energy Video Lessons

Video Thumbnail

Concept

Problem: 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?

FREE Expert Solution
94% (56 ratings)
Problem Details

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?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Gravitational Potential Energy concept. You can view video lessons to learn Gravitational Potential Energy. Or if you need more Gravitational Potential Energy practice, you can also practice Gravitational Potential Energy practice problems.