Question

Chapter 01, Problem 025 During heavy rain, a section of-mountainside measuring 1.1 km horizontally perpendicular to the slope), О.73 km up .long the slep-and 2.3 m deep Slge įto a valey ia mud side. As-that the mud ends up uniformly distributed over a surface area of the valley measuring 1.2 km x 1.2 km and that the mass of a cubic meter of mud is 1900 kg. what is the mass of the mud sitting above a 3.2 m area of the valley floor? Number the tolerance is +/-3% Click if you would like to Show Work for this question: Open Show. Wars SAMPLE PROBLEN LINK TO SAPLE

Answer 1

FIrst of all we need to need to know the volume of mud that descends:

As mountain side measuring 1.1 km horizontally, 0.73km up along the incline, and 2.3 m deep:

1100 X 730 X 2.3 = 1846900m^3 of mud.

Region of the valley = 1200 X 1200 = 1440000m^2

Depth of the mud in the region of valley = 1846900/1440000 = 1.28 m

Now we can calculate the volume of mud covering the region being referred to(3.2 m²)

= 1.28 x 3.2 = 4.096 m^3

Now mass = density x volume = 4.096 x 1900 = 7782.4 kg