Use gravity g = 10 meter/sec^2. Water density = 1 gram/cm^2; specific heat capac

Question

Use gravity g = 10 meter/sec^2. Water density = 1 gram/cm^2; specific heat capacity of water = 1 calorie/(gram degree) of 4186 J/kg degree C. A wood block of size: 10 cm times 10 cm times 4 cm with density of 0.6 gram/cm^2 will be floating on the surface of water. Volume of the wood block = _____ A) How many gram is of the mass of the wood? formula: _____ calculation: _____ B) How big buoyant force will make the wood block floating? Formula: _____ magnitude _____ C) What is the Archimedes principle? (that converts the buoyant force to the weight of water being displaced)? D) How many grams of water displaced to create this amount of buoyant force: _____ D) Find volume of the water displaced to make the wood block floating: _____ then how many cm on the side of the block is immersed in the water? _____ E) If a small metal block put on the top of the block so that just the whole wood block is submerged into the water but not the metal block, find how many grams of metal can be put on it? The buoyant force of the whole wood submerged in the water = _____ by Archimedes principle. Formula to find the mass of the metal mass of metal: _____ mass of metal = _____ If a metal cylinder weights 10 grams in the air becomes 8 grams weighted in the water, A) why? B) How much grams of water is displaced by the cylinder? _____ C) How many cm^3 of volume is of the water being displaced? _____ D) what is the density of the metal? Formula: _____ magnitude: _____ A car lift has two pistons on the same level. Radius of piston 1, r_1 = 0.01 meter, and r+2 = 0.1 meter for piston 2. The input force on the small piston is 120 Newton. A) how big is the pressure on the small piston? Formula: _____ calculation: _____ B) How big is the pressure on piston 2? _____ C) How big is the output force on the big piston to support a car? Formula: _____ answer _____ D) What is the name of the principle for this relation? It is also the principle used in your brake system.

Explanation / Answer

1) V = lbh = 10*10*4 = 400cm^3

a) m = density*volume = 0.6*400 = 240g

b) Fb = Weight = mg = 0.24*10 = 2.4 N

c) Archimedes Principle gives relation between bouyant force and weight of the liquid displaced (equal)

d) 240g

d) Using

W = density of water*Volume*g

240 = 1*V

V = 240cm^3

Side immersed = 4*0.6 = 2.4cm

e) Mass of metal = maximum mass of water dispalced - mass of wood = 400-240 = 160 g

Fb = weight of water dispalced = 0.4*10 = 4N

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