Can anyone give me a thorough explination for this? Thanks! What is the approxim

Question

Can anyone give me a thorough explination for this? Thanks!

What is the approximate minimum area of the top surface of a rectangular slab of ice 0.3 m thick floating on fresh water that will hold an automobile of mass 1100 kg just above the surface of the water? Assume the centers of mass of the car and the ice are vertically aligned. Take the densities of water and ice to be 998 kg/m^3 and 917 kg/m^3, respectively. A. no area is large enough B. 45 m^2 C. 3.7 m^2 D. 444 m^2 E. area cannot be determined from the information given

Explanation / Answer

The upthrust on the ice should balance force due to car. Let area be A.

A*0.3*917*9.8 + 1100*9.8 = A*0.3*998*9.8

A*[0.3*9.8*(998-917)] = 1100*9.8

A = 1100*9.8/[0.3*9.8*(998-917)]

= 45 m^2 answer. option B is correct,

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