1. Consider the following statement: The magnitude of the buoyant force equals t

Question

1.

Consider the following statement:

The magnitude of the buoyant force equals the weight of the object.

Under what circumstances is this statement true?

for no object submerged in a fluid

2.

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?

for every object submerged partially or completely in a fluid(incorrect) for an object that floats only for an object that sinks

for no object submerged in a fluid

2.

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?

The object would sink all the way to the bottom. The object would float submerged more deeply than in the first container.(incorrect) The object would float submerged less deeply than in the first container.(incorrect) More than one of these outcomes is possible.

Explanation / Answer

1.If buoyant force is equal to weight of body,then the object will either submerged completely or partially but will not sink so correct answer is

for an object that floats

2.The object is floating means buoyant force is equal to weight of object.

Let the object displace volume V of fluid .The buoyant force is given by =(density of fluid)*(volume displaced)*g

if it is placed in another container containing less dense fluid ,the buoyant force is given by =(density of new fluid)*(volume displaced)*g=B

the density is less,so to equalise weight the volume displaced should be more.If volume displaced is enough to again make buoyant force = B ,it wiil submerge more deep and float,but if volume diplaced is not enough,it will sink possible results

The object would sink all the way to the bottom.

The object would float submerged more deeply than in the first container.

so ANSWER is

more of these outcomes is possible.

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