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During heavy rain, a section of a 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 0.40 km 0.40 km and that mud has a density of 1900 kg/m3.What is the mass of the mud sitting above a 4.0 m2 area of the valley floor?

Respuesta :

Answer:

The mass of the mud is 3040000 kg.

Explanation:

Given that,

length = 2.5 km

Width = 0.80 km

Height = 2.0 m

Length of valley = 0.40 km

Width of valley = 0.40 km

Density = 1900 Kg/m³

Area = 4.0 m²

We need to calculate the mass of the mud

Using formula of density

[tex]\rho=\dfrac{m}{V}[/tex]

[tex]m=\rho\times V[/tex]

Where, V = volume of mud

[tex]\rho[/tex] = density of mud

Put the value into the formula

[tex]m=1900\times4.0\times0.40\times10^{3}[/tex]

[tex]m =3040000\ kg[/tex]

Hence, The mass of the mud is 3040000 kg.

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