Question

A) For floaters, what is the relationship between the fluid density and the volume of displaced...

A) For floaters, what is the relationship between the fluid density and the volume of displaced fluid? Explain the result using the Archimedes’ Principle equation.

B) Assume that a frog, if not swimming, will sink in water. If the frog is placed in a hemispherical, massless bowl the frog and the bowl will float. Explain why.

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Answer #1

a)As the floater is dispacing some amount of fluid , elaborating the relationship between fluid density and volume,

Weight of the displaced fluid ,

As the object is in equilibrium, the buoyant force (which is equal to the weight of the displaced fluid) must balance the weight of the object.

Hence the weight of the displaced fluid is equal to the weight of the object.

In equilibrium weight of the object is equal to the buoyant force B.

b) If the frog is placed in a hemispherical massless bowl,

then,

If the frog is floating when placed in the hemispherical bowl, then it implies that the Frog's weight is balanced by the buoyant force of the fluid.

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