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1. The problem statement, all variables and given/known data
During a heavy rain, a section of mountainside measuring 2.5 km horizontally, 0.80 km up along the slope, and 2.0 m deep slips into a valley in a mud slide. Assume that the mud ends up uniformly distributed over a surface area of the valley measuring 0.40km x 0.40km and that mud has a density of ##\frac{1900~kg}{m^3}##. What is the mass of the mud sitting above a 4.0 ##m^2## area of the valley floor.
2. Relevant equations
3. The attempt at a solution
Please see attached image so you can see how I am visualizing the problem.
My thought was to take the volume of the mud initially on the mountainside, and use that to determine how deep the mud is when it has moved to the valley. From this, I can get a specific volume of mud and use dimensional analysis to get a mass of the mud over the given area. My answer is way off the mark.
During a heavy rain, a section of mountainside measuring 2.5 km horizontally, 0.80 km up along the slope, and 2.0 m deep slips into a valley in a mud slide. Assume that the mud ends up uniformly distributed over a surface area of the valley measuring 0.40km x 0.40km and that mud has a density of ##\frac{1900~kg}{m^3}##. What is the mass of the mud sitting above a 4.0 ##m^2## area of the valley floor.
2. Relevant equations
3. The attempt at a solution
Please see attached image so you can see how I am visualizing the problem.
My thought was to take the volume of the mud initially on the mountainside, and use that to determine how deep the mud is when it has moved to the valley. From this, I can get a specific volume of mud and use dimensional analysis to get a mass of the mud over the given area. My answer is way off the mark.
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