One of the brass freeze plugs in Problem 64 is 3.0 cm thick and just fits inside the hol...

One of the brass freeze plugs in Problem 64 is 3.0 cm thick and just fits inside the hole in the steel of the engine block when the block is at room temperature and the brass was brought to the temperature of dry ice. (a) If the bulk modulus of brass is what pressure does the freeze plug exert on the block when both the freeze plug and the engine block are at room temperature? (b) If the coefficient of friction between brass and steel is 0.45, what force would it take to push the plug out of the block? If water were to freeze in the cooling system, would the plug pop out? See part (b) of Problem 64.

(reference problem 64)

Freeze plugs. The internal combustion gasoline engines used in automobiles produce much heat, which is mostly a nuisance and must be removed from the engine to prevent deformation and melting. The heat is carried away by a cooling system, typically using a fluid that flows through the walls of the engine block and out to a radiator, where flowing air cools the fluid. The fluid is mostly water with a mix of chemicals to prevent the fluid from freezing in cold climates when the engine is not in use. Freeze plugs, a standard part of any engine block, are brass alloy plugs that are pressed into holes in the engine block (Fig. P14.64). In principle, in the event of a hard freeze of the cooling system fluid, the freeze plugs will pop out and prevent the engine block from cracking. (a) Consider a carelessly maintained engine that has only water in its cooling system. On a cold winter night in Chicago, the water becomes frozen. How much pressure is exerted on a freeze plug? (b) If the freeze plug is 5.0 cm in diameter, how much force is exerted on the plug by the frozen water?