3. When the first railroad was built from the east coast to the west coast across India, the surveyors found that there was an error in their measurements. They later figured out the reason was that their plumb bobs did not point exactly straight down towards the center of the Earth. The cause of this error was the presence of the Himalayan mountains to the north. This error added up when repeated many times over hundreds of miles. Suppose that the railroad was built about 100 km south of the mountains, and the estimated mass of the Himalayas is 3 x 10¹7 kg. What angle would the plumb bob be deflected from "vertical" (toward the center of the Earth) by the gravitational attraction of the Himalayas?
3. When the first railroad was built from the east coast to the west coast across India, the surveyors found that there was an error in their measurements. They later figured out the reason was that their plumb bobs did not point exactly straight down towards the center of the Earth. The cause of this error was the presence of the Himalayan mountains to the north. This error added up when repeated many times over hundreds of miles. Suppose that the railroad was built about 100 km south of the mountains, and the estimated mass of the Himalayas is 3 x 10¹7 kg. What angle would the plumb bob be deflected from "vertical" (toward the center of the Earth) by the gravitational attraction of the Himalayas?
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