The density of a 6 foot tall man that weighs 840. Newtons fluctuates from a value slightly less than the density of water when the man completely inhales to a value slightly more than the density of water when the man completely exhales.
Note: Assume that the water pressure does not affect the volume of the man.
A)The man completely exhales and jumps into the deep end of a pool with a depth of 9 feet. The man sinks to the bottom of a pool and lands on a scale; at equilibrium, the scale reads 44.5 Newtons.
1)Calculate the buoyant force of the water acting on the man with his breath completely exhaled.
2)Calculate the volume of the man with his breath completely exhaled.
B)The man completely inhales and jumps into the deep end of a pool with a depth of 9 feet. The man swims to the bottom of a pool and stands erect on the bottom of the pool for a moment at rest. The man then accelerates upward due to an unbalanced vertical force (the buoyant force of the water acting on the man is greater than the weight of the man); the man moves upward 3 feet (0.914m) in 5.59 seconds when his head breaks the surface of the water.
1)Calculate the net acceleration of the man with his breath completely inhaled while totally submerged in the water.
2)Calculate the buoyant force of the water acting on the man with his breath completely inhaled.
3)Calculate the volume of the man with his breath completely inhaled.
C)Calculate the amount of air the man took in his breath for Part