You place a beaker that is two- thirds full of water (density Pw) on a laboratory scale. You then use a light-weight cord to suspend a metal object of volume VM in the water. The metal is completely submerged, and none of the water spills out of the beaker. Determine an expression for the change in reading on the scale. (Use the following as necessary: Pw, VM, and g.) Answer should be an equation AFscale =
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- find weightA cube, 0.8 cm on a side, and a mass of 100 g is completely submerged under water (pwater = 1.0 g/cm3= 1000 kg/m3 ) and released. a) What is the density of the cube in g/cm3? b) Draw a free-body diagram for the cube. c) What is the buoyancy force on the cube? d) What is the acceleration of the block after being released under water? (include direction of acceleration in your answer)You need to determine the density of a ceramic statue. If you suspend it from a spring scale, the scale reads 28.4 N. If you then lower the statue into a tub of water so that it is completely submerged, the scale reads 17.0 N. What is the density?
- Mercury is poured into a U-tube as shown in Figure a. The left arm of the tube has cross-sectional area A1 of 10.3 cm2, and the right arm has a cross-sectional area A2 of 4.70 cm2. Two hundred grams of water are then poured into the right arm as shown in Figure b. (a) Determine the length of the water column in the right arm of the U-tube. cm(b) Given that the density of mercury is 13.6 g/cm3, what distance h does the mercury rise in the left arm? cmA piece of copper has a mass of 2.6 kg. a.What is the volume of this piece of copper? b.The copper is then totally submerged in water. What is the buoyant force acting on it? c. What is the piece of copper’s apparent weight in the water?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 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]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^3A liquid-filled tube called a manometer can be used to measure the pressure inside a container by comparing it to the atmospheric pressure and measuring the height of the liquid. Such a device (filled with water) is shown in the figure, measuring the pressure inside a balloon filled with an unknown gas. The water level on the side of the manometer which is open to the air is 12.2 cm higher than on the side connected to the balloon. a. Find the gauge pressure in the balloon, in units of Pa. Recall the density of water is 1000 kg/m3. b. Find the absolute pressure in the balloon, in units of Pa.