94.17: A cork has weight mg and density 25% of waterh7, m*h*s. yj q0htns iwac89g density. A string is tied around the cork and attached to the h q9 *ctw0a,h shi7y* jmng.8sbottom of a water-filled container. As shown in the accompanying figure, the cork is totally immersed in the water. Expressed in terms of the cork weight mg, the tension in the string is:

  01.20: When submerged underwater, the apparent mass of one cubic ceng; adn+;(knx*v xp .ksu +b7xutimeter of pure gold is 18.3 grams.uaxpb *(;dng+kx.sx ;un+kv7 What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. Bobbers)a04pvrc6 r mao2jt4 ptbk*o( A and B have identical masses and densities but different shapes whilt opbr4 6kjtv0acoa )p* 24(mre bobbers B and C have identical sizes and shapes but bobber C has less mass and density than B. If three identical weights are then tied to the bobbers and all three are pulled completely beneath the surface of the water, which bobber will displace the greatest volume of water?

  01.18: Which of the following is the best statement of Pascal's Laof(v w0qv8dy9w?

  05.24: The hydraulic press, which allows large masses to be lifted with smalt6ogz3ypdo (0o wb(9v l applied forces, is a consequen0 pz6y9tvb3g o d((owoce of which principle?

  06.30: A copper block is conniy 3(d6f hvc9cjr+2eqected to a string and submerged in a container of waterqf(+r d 3jy9c62ic evh.
Position 1: The copper is completely submerged, but just under the surface of the water.
Position 2: The copper is completely submerged, mid-way between the water surface and the bottom of the container.
Position 3: The copper is completely submerged, but just above the bottom surface of the container. Assume that the water is incompressible. What is the ranking of the buoyant forces (B) acting on the copper blocks for these positions, from least to greater?

  07.36: A driveway is 22.0 m long and 5.0 m t (9ftm:sc(ac wide. If the atmospheric pressure is tafcmt(( cs:9 $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest wit-km1 (hivxn;xy e3jm4h 75% of the object submerged in a cubical tank containing -v yhjimmx k;(xn4 e31$50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron and a solid cube of al ooxa7kemf,x2f tq, *)1hiqg;e7)iruuminum have equal mass. The cubes areplaced into the same ;e17utmx o)oe gqii fh2f *),qxr,ka7large pool of water so that each is completely submerged and resting on the pool’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pu ,n4qsyt8 y1y tz7iy4 bkz35chre Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best describes the response 7i,k84th zyy yc4s1 3nz tyq5bof the balloon?

  16.23: At a party, two spherical balloons are expanded to have the same rfa9pr xp hbvy.j9k4 e4,s1r: radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the following stater px9fvp9hse kr. ja1 :b,4r4yments about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal2(hqc0 ei9jp4 n2 sldb u48oxv circular pipe. In one region odis l0c v quboep x42j(2n894hf the pipe, it has radius R. The pipe then widens to radius 2R. What is the ratio of the fluid's speed in the region of radius R to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changi)h* iqfbzgiz8347n fwng cross section as shown. In which section would the pressure of the fluid beb)* zh n7qwf4ii3 8fgz a minimum?

  07.35: Two objects lda *l1r )nkfn1abeled K and L have equal mass but densities 0.95D0 and D0, respectively. E11kan* )fn rldach of these objects floats after being thrown into a deep swimming pool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is connected to a light stri3i+ 2ph bqwr :kx ehj:4gabe(.ng attached to the bottom of a large container of water. T:kbj+:(qhp i2.e43bga ex wrhhe tension in the string is 3.0 N. The gravitational force from the earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring sca 1 16 ngxlzkntfo8f;9ile reads 2.50N when a small solid mass hangs from it in air. The spring scale reads 1.58N when the mass at the end of the spring is completely submerged in a container of water. Which one of the following choices bestxtkn9;znfl1i1 f68go represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density float8;kia5 w9 jlpns in a container of water with 60% of its volume subme;ipn59 kwl j8arged. If this same cube were placed in a container of oil with density$ρ=800 kg/m^{3}$ , what portion of the cube’s volume would be submerged while floating?

  12.47: Water flows ideally through a cylindrically-s,kum40k7l8hj gpu-ae rgqwl) x7l u3uuv+31shaped pipe. At the lower end, the pipe’s cross- ll) 1ul h83u ekx-rm sv4uguga+7kquw37j0 p, sectional area is $ 30.0 cm^{2}$ whereas in the upper portion, the pipe’s cross-sectional area is $10.0cm^{2}$ and fluid is moving at 9.0 m/s. Which one of the following choices best represents the difference in pressure between the lower section of the pipe and the upper section if the vertical distance between the centers of the pipe sections is 2.0 m ?

  09.35: A piece of an ideal fluid is marked as it mre biw2en9q 8.k0 wss4oves along a horizontal streamline through a pipe, as shown in the figure. In Region I, the speed of the fluid on the streamline is V. The cylindrical, horizontal pipe narrows so that the radius of .r09 qb 4wwki2s esen8the pipe in Region II is half of what it was in Region I. What is the speed of the marked fluid when it is in Region II?

  13.25: An ideal fluid completely fills a smallmjq/9ikw y,ik5rio. 7 horizontal tube that has a narrowing cross-sewjko7,/k5 i9iiq my r.ctional area as seen in the figure. Which one of the following choices best describes what has happened to the fluid’s speed and its associated pressure in the narrower region as compared to the wider region?

  10.47: An open cylindrical container with very large ragihx m,c9l3(7:j2itgn a- yp- luk(zv dius is at rest a distance H above the ground at the edge of a platform. A tiny hole develops at the bottom of the container and wp -z9(:-lyg7n ,x luhamg( jvtcii32kater from the container squirts out horizontally landing a distance H from the edge of the platform. For the
water to land at this location, what is the depth of the water L in the container? The figure is not drawn to scale and air resistance is ignored.

  11.27: The density of a solqxo.*ztx.k8j u r6wf:id cubic block is given as $ρ=0.750 g/cm^{3}$ . This block is dropped into a large swimming pool filled with water. When equilibrium is established and all motion stops, which choice best describes the location of the block? The block is very small in comparison to the pool.

  17.22: A large swimming poolim jtto ka aq24t8h8)vcez45+ is filled with a liquid having a density of $500kg/m^{3}$ . Aperson wants to see what happens if she jumps into the deep end of the pool (3.0 meters deep). Which one of the following choices correctly identifies what will happen to the person? Assume that the person does not try to move their arms or legs until discovering what happens after equilibrium is established.

  13.50: AU-tube is filled 8mboar+2p qlt/ bi50qwith mercury (density $13.6g/cm^{3}$) as shown in the left-most figure. Water of mass 800 grams is added to the left-hand side of the tube. When equilibrium is re-established, the tube appears as shown in the right-most figure. The cross-sectional area of the left tube is$ 6.5 cm^{2}$ while the right tube has cross-sectional area $15.0 cm^{2}$. Which one of the following choices best represents the height above the original equilibrium that the mercury rises in the right tube? The drawings are not to scale.