Can you help me solve this problem? During heavy rain, a section of a mountainsi
ID: 2274651 • Letter: C
Question
Can you help me solve this problem? During heavy rain, a section of a mountainside measuring 5 km horizontally (perpendicular to the slope), 1 km up along the slope, and 1.5 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 0.3 km x 0.3 km and that the mass of a cubic meter of mud is 1900 kg. What is the mass of the mud sitting above a 4 m2 area of the valley floor?
Can you help me solve this problem? During heavy rain, a section of a mountainside measuring 5 km horizontally (perpendicular to the slope), 1 km up along the slope, and 1.5 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 0.3 km x 0.3 km and that the mass of a cubic meter of mud is 1900 kg. What is the mass of the mud sitting above a 4 m2 area of the valley floor?Explanation / Answer
5000*1000*.1.5 m^3 of mud slides
=7500000 m^3
Same volume of mud spreads uniformly over 0.3*0.3 km^2 area.
Hence, 7500000 = 300*300* Depth
therefore, Depth = 83.33m
Mass of the mud sitting above a 4 m2 area of the valley floor
= 4*83.33m^3
= 333.32 m^3
= 333.32 *1900kg
= 633308Kg