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A rock has mass 1.80 kg. When the rock is suspended from the lower end of...

A rock has mass 1.80 kg. When the rock is suspended from the lower end of a string and totally immersed in water, the tension in the string is 12.6 N .

What is the smallest density of a liquid in which the rock will float?

Express your answer with the appropriate units.

Solutions

Expert Solution

Mass of rock m = 1.8 kg

Weight of rock in water W = mg

                                        = 1.8 x9.8

                                        = 17.64 N

Tension in the string T = 12.6 N

So, loss of weight in water = F - T

                                       = 17.64 N - 12.6 N

                                       = 5.04 N

Specific gravity of a rock = weight of the rock in air / loss of weight in water

                                    = 17.64 N / 5.04 N

                                     = 3.5

Density of rock = Specific gravity of rock x density of water at 4 o C

                       = 3.5 x 1000 kg/ m3

                       = 3500 kg/ m3

If the rock is floats in liquid,the density of the liquid is greaterthan equal to density of rock.

Therefore the smallest density of a liquid in which the rock will float = 3500 kg/ m3

genius_generous answered 3 months ago
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