Help me with just number 1C and 2! The diagram represents a contour map of a hil
ID: 1497716 • Letter: H
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Help me with just number 1C and 2!
The diagram represents a contour map of a hilly island. Copy it into ypur 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 horzontal distance between points on the different contours. North is up. Each contour line as you go inland represents ground that is at a constant elevation 5 meters higher than the previous contour. At what points on the map are there steep cliffs? Show at least three places. There are two high areas, label the eastern one A and the western one B. How high are they? Mark a straight-line path to climb from sea level to the high point B with the most gentle slope. 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? The same diagram could also represent the contours of the electrical potential of two positively charged objects with irregular shapes (for example charges stored on a rubber sheet). Assume that the outer part of the figure is at zero potential. Each contour line going towards the center represents an equipotential surface with a potential 5 V greater than the previous contour. Where is the electric field particularly strong? Show at least three places. Explain your reasoning with reference to Q1(a). There are two areas of high potential on the diagram. What is the value (in Volts) of each of these high potential peaks? What path would require you to use the least amount of force to push a test charge from zero potential to the point of highest potential of one of the charged objects? (Choose the same one you labeled B in 1 b) above.) Explain your reasoning. Would you actually do less work to move the test charge from 0 V to the voltage at B by using the path selected in 2c), or would the actual path make no difference?Explanation / Answer
gentle most slope means slope is smaller. As elevation between any two contours is 5m, slope is smaller when horizontal distance is larger.
So from every point, draw a tangent to next contour. i.e 2 tngents occur, choose the largest tangent and follow that path for longest distance. it will be the gentle slope.
2. Electric field is dV /dx .Or you can say E is normal to equi potnetial lines i.e normal to contours.
So E is strong when dV/dx is strong i.e when slope is teep means change in potential is same in small distance. So distance between contour line is minimum and huge elevation.
(b) As voltage increases 5V when you go inside, V maximum is 30 volts.
(c) Least force is least fiel i.e Least E. So same choose the longest path. Because as change in potential is same, E. dl is constant.
means E *L cos theta = constant.
Minimum E when L cos theta is maximum.
So tangential route has more distance and more angle from normal. So E will be minimum.
(d) Path does not make a difference. Because. Some cases long path, least force. Some cases short path, more force. So energy requirement doesnt change.
Only issue is longest path in reeal cases leads to frictional losses which are adiviced to be avoided
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