A certain man has a mass of 80 kg and a density of 955 kg/m3 (excluding the air in his lungs). (a) Calculate his volume. (b) Find the buoyant force air exerts on him. (c) What is the ratio of the buoyant force to his weight?

Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 31.6 m. Assume the density of the water is 1.00 ✕ 103 kg/m3 and the air above is at a pressure of 101.3 kPa. (b) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 32.0 cm?

A spherically shaped balloon has a radius of 12 m, and is filled with helium. How much extra mass can a cargo lift,assuming that the skin and the cargo of the balloon have a mass of 950 kg? Neglect the buoyant force on the cargovolume itself. (The density of air is 1.29 kg/m3 and the density of helium is 0.179 kg/m3)

A life preserver is manufactured to support a 70 kg person with 25% of his volume out of the water.   If the density of the life preserver is 100 kg/m^3 and it is completely submerged, what must its volume be? Assume that the density of the person to be about the same as the density of water, 1000 kg/m^3. Express your answer with the appropriate units.

A solid cone made of unknown material is suspended from a scale. Before submersion, the scale reads 100 Newtons. After submersion in water the scale reads 88.0 N as shown below. (a) What is the force of buoyancy on the cone? (b) What weight of water is displaced by the cone? (c) What mass of water is displaced by the cone (in kg)? (d) What volume of water is displaced by the cone (in cubic meters)? (e) What is the volume of the cone (in m³)? (f) What is the mass density of the cone (in kg/m³)? (Density of water, p = 1000 kg/m³) 100 N 88.0 N

A spherically shaped balloon has a radius of 11.5 m, and is filled with helium. How much extra mass can a cargo lift,assuming that the skin and the cargo of the balloon have a mass of 800 kg? Neglect the buoyant force on the cargovolume itself.(The density of air is 1.29 kg/m3 and the density of helium is 0.179 kg/m3)

help A concrete block with a density of 6550 will sink in water, but a rope suspends it underwater underwater (that is, its completely underwater, not touching the bottom of the lake, and isn't moving. It measures 63 cm x 20 cm x 15 cm, and has a density of 6550 kg/m3. The density of water is 1000 kg/m3 Find the tension in the rope. Hint: Buoyancy problem - similar to the last problem, but add a rope pulling up.