Using the following densities, perform the calculations below. Granite = 2.7 g/c

Question

Using the following densities, perform the calculations below. Granite = 2.7 g/cm^3, Basalt = 3.1 g/cm^3 Peridotite = 3.25g/cm^3 lce = 0.92g/cm^3 Polar water = 1.00g/cm^3 The Earth's mantle is approximately 2, 890 km thick. If the mantle height underneath a continent is 2, 875 km, and the continent is made of pure granite, how is the continental crust? The Earth's mantle is approximately 2, 890 km thick. If the oceanic crust has a thickness of 10 km, what is the height of the mantle beneath the oceanic crust? If an ice sheet grows on a continent, calculate how much the continent will sink into the mantle given the following: mantle depth of 2, 890 km, continent thickness of 80 km, and ice thickness of 1 km. If the sonar in your boat detects a 100 m thick iceberg ahead, how deep does the iceberg extend under water? (Assume the water it is floating in is "polar" water.)

Explanation / Answer

1. according Archimedics law rs hs = rl hi

whre rs = density of the crust i.e density of granite 2750 kg/ m3

  hs = height of the crust ( thickness)

rl = average density of the mantle = 3900  kg/ m3

   hl = height of the mantle = 2875 km

thickness of the crust hs = (rl *hl) / rs

= (3900 *2875) / 2750

= 4077.27273

here density in kg / m3 so we convert this value into kg / km3 we get

= 40.27 km

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