94.17: A cork has weight mg andec; /1cvisl86w9 *)hfxjrlg c density 25% of water density. A string is tied around the cork and attached to the bottom of a water-filled container. As /ewf9c8xrs1 6hil c j)*vglc; 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 centimeter of b)qcgfv.7deq9*h i(c pure gold is 18.3 gr)c*(g .9 7eqhdbvqfciams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. BobbersA0xf8b x qg+)dbab8uc6 and B have identical masses and densities but different shapes while bobbers b)ubx q8cbfg a6+0 dx8B 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 followil1/hln 9w8) hm8myvs ong is the best statement of Pascal's Law?

  05.24: The hydraulic pressi*z3s cpc5wjmd;dy5m4 g*p:t , which allows large masses to be lifted with small applied forces, is a consequence of which principle:dzg*c j mwmp sid;5c4 t35*py?

  06.30: A copper block is connected to a string a ph:3qe0epd5 dkb,3 gwnd submerged in a container of wat pdk3w3g p5 :qbh0dee,er.
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 bwvb 4/)bsycl 73uz,)j t3mi m rqe71tm long and 5.0 m wide. If the atmospheric pressure is e7mb/ lmjcyt zb3t74 )suq,ib v)3r1w $1.0\times {10}^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 75% of the objeckf50 h:hs snw8t submerged in a cubical tank5w s8ks:nf hh0 containing $50.0m^3$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron ary j;e3h8w. aand a solid cube of aluminum have equal mass. The cubes areplaced into aw 8a3 h.e;ryjthe same large 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 pure Xenon gas. This balloon then is9w(+ qqfv ilu) released from rest two meters above the ground on Earth. Which one of the followiu v+flq( q)i9wng choices best describes the response of the balloon?

  16.23: At a party, two spherical bal9.pq +fh,xgo rq o2:mlloons are expanded to have the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas.loxq: .g2r +hq,fop 9m Which one of the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows tm2jrc-;m*mma hrough a long horizontal circular pipe. In one region of 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 o*m a cm2-mj;mrf radius R to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through uajj 9 cb( taopw(-:+la pipe of changing cross section as shown. In which section would the pressure of the fluid be a minia u(c 9oa: pbjl+t-(wjmum?

  07.35: Two objects labeled K and L have equal mass buoatnz dg 9:+)v exf:0v2kkwa5 t densities 0.95D0 and D0, respectively. Each of these objects floats aftergfe5 n )a z2+ v09wkt:dv:kxoa 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 string attached to thone 8bp)x:2s de bottom of a large container of water. The tension in the string is 3.0 N. The gravitational force fro)bp2 ex:8d osnm the earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N when a small solid mass zwyw +d8i9n (changs from it in air. The spring scale reads 1.58N when the mass at the end of the spring is completely submergedyn d8+ziw cw9( in a container of water. Which one of the following choices best represents the density of the solid mass(unit: $kg/m^3$)?

  09.32: A cube of unknown material and unix(80f w :zqy0idixcf7 form density floats in a container of water with 60%ii008 cxy:(7fdfzqxw of its volume submerged. If this same cube were placed in a container of oil with density$\rho =800kg/m^3$ , what portion of the cube’s volume would be submerged while floating?

  12.47: Water flows ideally through a cylindricallyqjg51 vczrf,/-shaped pipe. At the lower end, the pipe’s cross- sectionaqc5/1 jrg v,fzl area is $30.0c{m}^2$ whereas in the upper portion, the pipe’s cross-sectional area is $10.0c{m}^2$ 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 maq cyjvq.s7l k.7,uv5-c;aiam rked as it moves along a horizontal streamline through a pipe, as shown in t,u;ycl75 vaa.mq.7 - i qsvjckhe figure. In Region I, the speed of the fluid on the streamline is V. The cylindrical, horizontal pipe narrows so that the radius of the 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 small horizl j f*7/8q 6 f8n3xi9hgylgfxbontal tube that has a narrowing cross-sectional 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 reg7xj y9f8figx fn8*6l b3/qlhgion as compared to the wider region?

  10.47: An open cylindrical container with very large radius is at re 5;efun2+k(w5 cq t3jc wuxb+ r2xyk4(x.xoyn st a distance H above the ground at the edge of a platform. A tiny hole develops cyc (x543 .5+txyx(wjrbk;fno22 q+ uwnkxueat the bottom of the container and water 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 ofm./-dnwpr 0fj a solid cubic block is given as $\rho =0.750g/c{m}^3$ . 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 pool is fi9zbk -pacf r*tou:4 1olled 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 withc tt:v i06ghh4 mercury (density $13.6g/c{m}^3$) 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$6.5c{m}^2$ while the right tube has cross-sectional area $15.0c{m}^2$. 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.