A 700g solid cube having an edge length of 10cm floats in water. How much volume of the cube is outside the water? Density of water=1000kg/m3.

A scientist is calculating the density of an ore sample. The scien- tist measures that the ore sample weighs 22.4 N in air. When the sample is suspended by a thin light cord and totally immersed in water, the tension in the cord is 14.2 N. What is the density of the ore sample that the scientist calculates. You can assume that any buoyant force from air is negligible.

A partially filled bucket of water sits on a scale and its weight is 3.8 N.  A piece of metal is suspended from a thread and completely immersed in the bucket (but does not touch the bottom).  The scale now reads 7.3 N.  Find the volume of the metal.

A cube of wood having an edge dimension of 18.7 cm and a density of 651 kg/m° floats on water. (a) What is the distance from the horizontal top surface of the cube to the water level? cm (b) What mass of lead should be placed on the cube so that the top of the cube will be just level with the water surface? kg

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Water flows at a speed of 2.8 m/s through a 9 cm diameter pipe to a 4.5 cm diameter pipe. What is the speed of the water in the 4.5 cm diameter pipe?

A block of wood has a mass of 3.71 kg and a density of 515 kg/m3. It is to be loaded with lead (1.13 × 104 kg/m3) so that it will float in water with 0.803 of its volume submerged. What mass of lead is needed if the lead is attached to (a) the top of the wood and (b) the bottom of the wood?

A solid, square of floating ice measuring 5 m on a side and 0.33 meter thick floats partially submerged in water.  Determine the number of penguins that can stand on the ice block without any of them getting their flippers wet? (i.e. such that the top surface of the ice block floats at water level)?  Assume that the mass of each penguin is 10 kg. Round your answer to the nearest whole number of penguins. Assume the density of saltwater is 1030 kg/m3 and the density of ice is 980 kg/m^3