A question about buoyancy. You are presented with nao beakers filled to the brim

Question

A question about buoyancy.

You are presented with nao beakers filled to the brim, one with water and one with liquid z The densiry of water is I 3. but you don't know the density of Hiquid Z. You are then presented with two objects of identical volume and different masses and find the following sinking and floating behavior: liquid Z sinks floats blue object sinks red object sinks a) What, if anything, can you say about the density of liquid Z Explain. b You carefully place the blue object into the beaker of water (where it floats and find that 25 cm of water spills over the edge of the beaker. When you place the blue object into "liquid z 30 cm' spills out. i. What is the mass of the blue object? Explain your reasoning, ii. What is the volume of the blue object? Explain your reasoning. iii. What is the density of the blue object? c) Compare the buoyant force on the red object in the water to the buoyant force on the blue object in the water. Explain your reasoning, d) compare the buoyant force on the blue object in the water to the buoyant force on the blue abject in "liquid Zt". your reasoning. Explain

Explanation / Answer

a) The density of the liquid Z is less then density of water

density of liquild(Z)<Density of Object<Density of water [ high density object compared to liquid will sink in that liquid]

b)

1. the mass of the blue object would be the mass of volume of water displaced as per Archmedes Principle.

that is ; mass = density x volume

=1 x25

= 25 grams [ mass of blue object]

2.)

mass of object = mass of water displaced = mass of volume displaced[ when it sinks]

that is Volume of blue object = 30 cm3    Answer

25 = density of liquid Z x 30

density of liquid Z = 0.833 g / cm3

3.)

And because the blue objectscompletely sinks hense density of blue object is greater than 0.833 g / cm3

C)

Buyont force is the upward force extrted by the liuid , the buyont force acting on red object is less than the wight of red object both in water and liquid Z

d)

The Buyont force acting on blue object is higher than weight of it, in case of water[hense it flots]

and the Buyont force acting on blue object is less than weight of it, in case of liquid z[ hense it sinks]

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