The glass beaker shown below is filled to its maximum height with water. (Any more water would escape through the downspout.) Then an object is gently placed in the beaker. All of the spilled water is collected and measured in the graduated cylinder. Suppose the object floats in the water. Which properties of the object can be determined by measuring the amount of spilled water? (Hint: draw a free-body diagram for the floating object.) (i) Mass? (ii) Volume? (iii) Density? (iv) Weight? Suppose the object sinks in the water. Which physical properties of the object can be determined by measuring the amount of spilled water? (Hint: draw a free-body diagram for the sunken object.) (i) Mass? (ii) Volume? (iii) Density? (iv) Weight?

To what height should a cylindrical vessel be filled with a homogenous liquid to make the force with which the liquid presses on the sides of the vessel equal to the force exerted by the liquid on the bottom of the vessel?

What fraction of ice is submerged when it floats in freshwater, given the density of water at 0°C is very close to 1000 kg/m3 ?

While sitting on a boat floating on a small pond, you drop an anchor into the water. The anchor immediately sinks to the bottom. Does the presence of the anchor in the water cause the pond to get shallower, deeper or stay the same compared to when the anchor was on the boat? Explain your answer.

A plastic cube (density 973 kg/m3) has side length 1.90 cm. You drop the cube into a jar of maple syrup (density 1131 kg/m³) -you don't know why- and observe that it floats in the syrup . What percentage of the plastic cube is submerged? [Answer as a percentage with 3 sig digits, but do not enter '%' with your answer]

(b) In the figure below, a wooden block of densty = 800 kg / m on a water of density =1000kg / m. is seen floating The block height His 20 cm. (i) Calculate the depth h of the block submerged in the water. P block=800kg/m3 P water=1000kg/m3

A flask of water rests on a scale that reads 100 N. Then, a small block of unknown material is held completely submerged in the water. The block does not touch any part of the flask, and the person holding the block will not tell you whether the block is being pulled up (keeping it from falling further) or pushed down (keeping it from bobbing back up). Assume that no water spills out of the flask. The new reading on the scale is greater than 100 N. The experiment is repeated with the six different blocks listed below. In each case, the blocks are held completely submerged in the water. Mass (gg) Volume (cm3cm3) A 100 50 B 100 200 C 200 50 D 50 100 E 200 100 F 400 50 Rank these blocks on the basis of the scale reading when the blocks are completely submerged.Rank from largest to smallest. To rank items as equivalent, overlap them. If the blocks were released while submerged, which, if any, would sink to the bottom of the flask?Enter the correct letters from the table…

You have four objects at rest, each of the same volume. Object A is partially submerged, and objects B, C, and D are totally submerged in the same container of Liquid. Rank the densities of the objects from greatest to least and indicate whether any objects have the same density.