Question

Many people have imagined that if they were to float the top of a flexible snorkel tube out of the water, they would be able to breathe through it while walking underwater. However, they generally do not consider just how much water pressure opposes the expansion of the chest and the inflation of the lungs. Suppose you can barely breathe while lying on the floor with a 370 N weight on your chest. How far below the surface of the water could your chest be for you to still be able to breathe, assuming your chest has a frontal area of 0.070 m²?

A hydraulic lift is used to raise an automobile of mass 1550 kg. The radius of the shaft of the lift is 8.0 cm and that of the piston is 1.0 cm. How much force must be applied to the piston to raise the automobile?

A homogeneous solid object floats on water with 80% of its volume below the surface. The same object when placed in a second liquid floats on that liquid with 70% of its volume below the surface. Determine the density of the object.

A helium balloon lifts a basket and cargo of total weight 2410 N under standard conditions, at which the density of air is 1.29 kg/m³ and the density of helium is 0.178 kg/m³. What is the minimum volume of the balloon?

A ship sails from seawater (specific gravity 1.025) into freshwater and therefore sinks slightly. When its load of 570,000 kg is removed, it returns to its original level. Assuming that the sides of the ship are vertical at the water line, find the combined mass of the ship and cargo before it was unloaded.

Answer 1