A large spherical air balloon is filled with helium. If the balloon is to support (meaning produce a net acceleration of 0) a total load of 300 kg, including its own mass, calculate the minimum radius of the balloon. Assume values of the density of air and helium to be 1.29 kg/m and 0.18 kg/m³ respectively 4,8 m O 3.6 m O 3.8 m 3.1 m O 4.5 m

The aorta carries blood away from the heart at a speed of about 40 cm/s and has a radius of approximately 1.1 cm. The aorta branches eventually into a large number of tiny capillaries that distribute the blood to the various body organs. In a capillary, the blood speed is approximately 0.07 cm/s, and the radius is about 6 x 10-4 cm. Treat the blood as an incompressible fluid, and use these data to determine the approximate number of capillaries in the human body.

A trash compactor can compress its contents to 0.350 times their original volume. Neglecting the mass of air expelled, by what factor is the density of the rubbish increased?

A lost shipping container is found resting on the ocean floor and completely submerged. The container is 6.4 m long, 2.4 m wide, and 2.9 m high. Salvage experts attach a spherical balloon to the top of the container and inflate it with air pumped down from the surface.. When the balloon's radius is 1.3 m, the shipping container just begins to rise towards the surface. What is the mass of the container? Ignore the mass of the balloon and the air within it. Do not neglect the buoyant force exerted on the shipping container by the water. The density of seawater is 1025 kg/m³. Number Units

Air is evacuated from a vacuum chamber and the flow rate is measured. A section of circular plumbing is removed and replaced with a piece having a radius that is half the size of the original. The flow rate is measured again. What is the ratio of the new flow rate to the old flow rate?

The average body density of a human is 1030 kg/m3, yet we typically float in seawater when we fill our lungs with air and sink when we exhale. Therefore, our effective density is similar to that of seawater, 1010 kg/m3. If the typical total volume (body density + lung capacity) of a human is 0.25 m3, what volume is due to body mass and what volume is due to lung capacity (you can assume the density of air is rair = 1.2 kg/m3)

Suppose you spray your sister with water from a garden hose. The water is supplied to the hose at a rate of 0.613 × 10-3 m³/s and the diameter of the nozzle you hold is 5.13 × 10-3 m. At what speed v does the water exit the nozzle? V = m/s

Problem 05: Soda can A 355 ml soda can is 6.2 cm in diameter and has a mass of 20 g. Such a soda can half full of water is floating upright in a swimming pool. What length of the can is above the water level in the pool? Problem 06: Force on aquarium window

A lost shipping container is found resting on the ocean floor and completely submerged. The container is 6.3 m long, 2.9 m wide, and 2.9 m high. Salvage experts attach a spherical balloon to the top of the container and inflate it with air pumped down from the surface. When the balloon's radius is 1.6 m, the shipping container just begins to rise towards the surface. What is the mass of the container? Ignore the mass of the balloon and the air within it. Do not neglect the buoyant force exerted on the shipping container by the water. The density of seawater is 1025 kg/m³. Number i Units

Suppose you spray your sister with water from a garden hose. The water is supplied to the hose at a rate of 0.573 × 10–3 m³/s and the diameter of the nozzle you hold is 5.09 × 10-3 m. At what speed v does the water exit the nozzle?