ch.13 mastering physics concepts

An object is floating in equilibrium on the surface of a liquid. The object is then removed and placed in another container, filled with a less dense liquid. What would you observe?

If the fluid in the second container is less dense than the object, then the object will sink all the way to the bottom. If the fluid in the second container is denser than the object (though less dense than the fluid in the original container), the object will still float, but its depth will be greater than it was in the original container.

Air pressure is lower at the chimney and higher outside the window, so air will flow in through the window and out through the chimney.

In the window and out the chimney

Two objects, T and B, have identical size and shape and have uniform density. They are carefully placed in a container filled with a liquid. Both objects float in equilibrium. Less of object T is submerged than of object B, which floats, fully submerged, closer to the bottom of the container. Which of the following statements is true?

Object B has a greater density than object T (Rationale:Since both objects float, the buoyant force in each case is equal to the object's weight. Block B displaces more fluid, so it must be heavier than block T. Given that the two objects have the same volume, block B must also be denser. In fact, since the weight equals the buoyant force, and B is fully submerged, ρBVg=ρliquidVg, where all the symbols have their usual meaning. From this equation, one can see that the density of B must equal the density of the fluid)

An object is floating in equilibrium on the surface of a liquid. The object is then removed and placed in another container, filled with a denser liquid. What would you observe?

The object would float submerged less deeply than in the first container

The magnitude of the buoyant force is equal to the weight of the amount of fluid that has the same total volume as the object. Under what circumstances is this statement true?

for an object completely submerged in a fluid

The magnitude of the buoyant force equals the weight of the object. Under what circumstances is this statement true?

for an object that floats

The magnitude of the buoyant force is less than the weight of the object. Under what circumstances is this statement true?

for an object that sinks

The magnitude of the buoyant force is equal to the weight of fluid displaced by the object. Under what circumstances is this statement true?

for every object submerged partially or completely in a fluid

When a viscous fluid flows in a tube, its velocity is

greatest at the center of the tube

A beaker of water rests on a scale. A metal ball is then lowered into the beaker using a string tied to the ball. The ball doesn't touch the sides or bottom of the beaker, and no water spills from the beake

increase