94.17: A cork has weight mg and density 25% of water densi0) ysq,4scqpb yoy*0me l0ks; ty. A string is tied around the cork and atcy ,e)qpyl4ys; q 0kss*0o0b mtached to the bottom 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 centimeter of nre t9 tbque ;3y:8d+xpure gold is 18.3 grams. What would d83ttu 9rxq+beye; n:be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. BobbersA a/s4x-y4;ovtu tw6gj af t q,o6nd B have identical masses and densities4 o6uwt6jtf ,vxaqg 4;-tyo/ s but different shapes while 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 bes) pkt+ihsiv)c3 w8sion. 2c2y t statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted with small a tx;w*(6 yxs,/ri w mb1m/5*ufuelr1keq hl- ypplied forces, is a(ufbme/t lhsm* /*6e ly xq-1wir r5 y,x1kwu; consequence of which principle?

  06.30: A copper block is c3.u 5b:xqfnmxonnected to a string and submerged in a container of watn.:3m xfb q5uxer.
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 wide. If the a-rrw(s nf,y93q: zk bjtmospheric pressure is jsfnk r 3 :r9wqyz-b,( $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest wi+ :*qg jtxvf b)stb2l3ec3 qj6th 75% of the object submerged in a cubical jbcf x2v* 3eq:t 3l6+)bsjtqgtank containing $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of p.gfyt(h c h6nu.1 +tfiron and a solid cube of aluminum have equal mass. The cubes areplaced into the same large pool of water so that each is completely submerged and resting on the poypuf c1n h 6t(h.ft+.gol’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. This stn;:iv1l7c: -mbxfd balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best describes the ref-dbs : ntxc17vm;: ilsponse of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the sa;amvg3ccweg9 2x *5k ome radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the following statements about the buoyant forces on the 3 cgxvc95a 2wmkg;e*oballoons is correct?

  03.36: An ideal fluid flows through a long horizontal circular pipe.5ixajz/3r:l h :s4, fdb wxrp2 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:l 5 xj4rfd2x,wr /za3:hisp b 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 :e9up qvge-cvw+8x 5z pipe of changing cross section as shown. In which section wouldv:ezc9q+x8wv5 epg- u the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but dens- dfb5 whswrtl5gcp3*7b t. nuu/u( t6ities 0.95D0 and D0, respectivelbu.dg ul3 fwb-s7th*t/w 5c5 r6(ptnuy. Each 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 string attached to the bottom of a6co4g s;jsr,v large container of water. g,s;sjro6v4 cThe 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 scale reads 2.50N when a small solid mass hangs from it in ahgi e0fe gt3:70;bhu hir. The spring scale reads 13gh:ht uheb ge0;fi0 7.58N when the mass at the end of the spring is completely submerged 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 uniform density floats )8e3( pr3ybsjdqx bf: in a container of water with 60% of itspjsxfr )e3db(3 8qy:b volume submerged. 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 cylindricallys9-(gk )tfq3 zfj c0chjo( 3hr-shaped pipe. At the lower end, the pipe’s cross- sectional area is 9z3tf r)c-ochsgjf(jq k0h(3$ 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 idealmz tlo;b8d2v mz2- kq* fluid is marked as it moves along a horizontal streamline through a pipe, as shown in the8-bmlzvt *2 dk2q; omz 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 horizontal tube that has a nao:v nbu62r wn6rrowing cross-sectional area as seen in the figure. Which one of the following choices best describes what has happened to the fluid’n vwn:r6ou26b 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 radius isy0/yz5i*kxi.nig / b l 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 water from the container squirts out horizontally landing a distance*k05lbi yyg// nzi.xi 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 solid cubic bqxpgzeu8 g :.8lock 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 pool is filled with a liquid having a densi0 )ih smofa i4ue.q a:sbp3+1mty 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 fillendeg)c26.dpc2i d xtdhj j.+2d with 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.