The density of air at sea level is 1.3kg/m^3 , and the average density of a human body is 1050kg/m^3 . Suppose we approximate a human being as a cylinder with of height 5feet10 inches with a circumference of 27inches . (Use 1 inch = 2.54 cm)

(a)What is the volume of a human, given the assumptions above? m^3

(b)What is the buoyant force on the human body? N

(c)What is weight of a human if we ignore the buoyancy due to air? N

(d)Now, consider the apparent weight of a human in air. By what percent will the weight you measure change if you include the buoyant force due to the air? %

H2.4

A rectangular block of wood weighs7N and has a density of 610 kg/m^3. The block is placed into water (density =1000kg/m^3).

(a)What fraction of the volume of the block of wood is submerged?

(b)A block of iron (density6000kg/m^3 ) is placed on top of the wood such that75%of the wood block is submerged. What is the weight of the iron block? N

(c)Suppose now the iron block is attached to the bottom of the wood block. What fraction of the wood block is submerged now? (enter a decimal value)