In a research facility, a person lies on a horizontal platform which floats on a film of air. When the person's heart beats, it pushes a mass m of blood into the aorta with speed v, and the body and platform move in the opposite direction with speed V. Assume that the blood's speed is 51.0 cm/s. The mass of the person + platform is 54.0 kg. The platform moves 5.20 x 10-5 m in 0.160 s after one heartbeat. Calculate the mass (in g) of blood that leaves the heart. Assume that the mass of blood is negligible compared with the total mass of the person, and the person + platform is initially at rest. (Also assume that the changes in velocity are instantaneous.)

A car with two passengers and fuel weighs 1000 kg. It has wings with an area of 16 m^2 that are designed such that air moving over them must travel 1.05 times as far as air moving under them. How fast must this plane be moving so that wings generate enough lift to offset the plane's weight? The wings are thick. Please give answer in m/s

Suppose that a solid cube of some material floats motionless on the surface of an oil puddle at a service station with  61.5%  of its volume submerged. The density of the oil is  907 kg/m3. What is the density  ?  of the cube's material?     1000  kg/m3     558  kg/m3     796  kg/m3     145  kg/m3

You have two identical tennis balls and fill one with water. You release both balls simultaneously from the top of a tall building. If air resistance is negligible, which ball will strike the ground first? Explain. What if air resistance is not negligible?

A 16 cm diameter Styrofoam ball (p = 0.3 g/cm³) is released from the bottom of a tank filled with an unknown liquid. If the terminal speed of the ball is 1.66 m/s, what is the density of the liquid? The drag coefficient of the ball is 0.50. O 0.23 g/cm3 O 0.45 g/cm³ O0.88 g/cm3 O 0.18 g/cm3

A 16 cm diameter Styrofoam ball (p = 0.3 g/cm³) is released from the bottom of a tank filled with an unknown liquid. If the terminal speed of the ball is 1.66 m/s, what is the density of the liquid? The drag coefficient of the ball is 0.50. O 0.23 g/cm3 O 0.45 g/cm3 O 0.88 g/cm3 O 0.18 g/cm3

Water is discharged from the hose with a speed of 42ft/sec. Determine the two possible angles the fireman can hold the hose so that the water strikes the building at B. Take S=20ft. VA = 40 ft/s 0 8 ft 4 ft

A child has a spherical helium balloon tied to her wrist as she walks through the park at a constant speed of 0.46 m/s in the +ŷ-direction. The balloon has a diameter of 7 cm, and it is tied to a 1 m long string. Take the density of air to be 1.108 kg/m³, the density of helium to be 0.122 kg/m³, and the density of the latex of the balloon to be 0.013 kg/m². The viscous drag constant of the balloon is 0.00148 kg/s. What is the direction of the string from the girl's wrist to the balloon? û = xŷ + X 2

The blood flow rate through the aorta is measured to be 107.3 cm^3/s, and an adult is measured to have 5.02 L of blood. How long does it take for all of your blood to pass through the aorta?   If the adult's aorta has a diamter of 2.05 cm, what is the speed of blood as it flows through the aorta?

Problem 1:   The puffer fish (tetradontiade) can employ a defense mechanism whereby it fills its stomach with water until the fish is almost spherical in shape. The shape, in conjunction with its external spines, are a significant deterrent to predators. Suppose that a puffer fish takes in water until its mass has increased by f = 1.52 times its initial mass. In this state, and initially at rest, the puffer fish expels the water with a speed s in one direction, while the fish recoils in the opposite direction at a speed v. For this problem neglect the drag-force effects of the surrounding ocean water.  Part (a)  Write an expression for v/s in terms of f.   Part (b)  What is the numerical value of your answer to part (a)?