94.17: A cork has weight mg and density 25% of water density. A string i: wim/ hh*lm. trn.dr9s tied around the cork and attached 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 lw .*mn/rdh9i.mr: ht the string is:

  01.20: When submerged undbxaxk:g*ngmvi44t mhn 5n28( erwater, the apparent mass of one cubic centimeter of pure gold nhtgn(mavk 2*4 5ngi8 4x:b xmis 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all indivic+lespqfpklu5+ qs6: oa1q 8 m,nr;:ddually float on top of water. BobbersA and B have identical masses and densities 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,sou:;+qp +d8q1q:cf5lsa 6ken lpm r of water?

  01.18: Which of the followinf /w7ps,c-z7t-iymd k g is the best statement of Pascal's Law?

  05.24: The hydraulic press, which allows lh2yzv (inqg;1arge masses to be lifted with small appzv;q2 in yh(g1lied forces, is a consequence of which principle?

  06.30: A copper block is connected to a string and submerged in a containerfwqylmf) m5v2p37 q ji 04ew1n of water.2yipnq7f1fwjv el)q0 35 4mmw
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 atmospheric pressure0) zlv ,zenw7i is 7 zzwiv) el,0n$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg7cktu:r v 8* -ec7xwxz;;rb zq object floats at rest with 75% of the object submerged in a cubical tank conw;ru- r z:bc8e x7c;zvxt7q*ktaining $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron and ; tyk m:r0pc)15l nhpi:cl 8ypa solid cube of aluminum have equal mass. The cubes areplaced into the same large pool of water so that each is completely submerged and l5:kypn0 :pri 8 cc;y)1hlmt presting on the pool’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balqrez5a8 dce1w9 99s omloon is filled with pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the follz8qre9w e cam919 sd5oowing choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are aox7*-9hz ob :ds1rdipod-.w expanded to have the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which onbr1:zdd9io xso- dh a *.w-7ope of the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows thro w+l4;:euhwcfugh a long horizontal circular pipe. In one region of the pipe, it has radius R. The pipe then widens to radius 2R. What;whu e:fw+4cl 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 th j7sm)1v 5heyorough a pipe of changing cross section as shown. In which sec7jhy 5v soem1)tion would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but decl )p se)+ xn1s)6ura(ae0pmvnsities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about the buoya6ua v1pn (m0 p+exe )r)ls)sacnt forces acting on these objects?

  08.16: A block is connected to ag .8not:i hy;h2fzga+nn*:ad bcm)k 0bnmz ( ; light string attached to the bottom of a large container of water. The tension in the string is 3.0 N. The gravitational force from the earth on the block is 5.0N. What is td n ycaz2h gab(+zkn0oh : ;);fin: nmtg.b*m8he block’svolume?

  15.30: A spring scale reads 2.50N wherh6hjro+8 d . k+bauz1n 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 best represents the density of the sol+obr h1d 6rzh8ja. k+uid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density floats inx:q8 efr0 kho4 a container of water wk8 qre: hfx0o4ith 60% of its 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 cylindricay m3 k8brye(i1gqu(;y lly-shaped pipe. At the lower end, the p uy3kq18y ybi;gme(r (ipe’s cross- 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/ae0xy+fu) )/pcz a gz as it moves 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, horu x)acy)z/ z/gf+p 0eaizontal 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 avbo w8 9uk+cx.6tdu1ae: u,0 x fkgdjnzb) (c. 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 thk(+,dc fctba unweo.dj: ku16 .xu)gzb v80x9e narrower region as compared to the wider region?

  10.47: An open cylindrical container with very large radius is zeh+ :mv4m7 r9iapr4 nat rest a distance H above the ground at the edge of a platfornp+9hi:rmmra4 e74z vm. A tiny hole develops at 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 of at o59 ;s ubm6mt1)jjqx solid 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 pool wuo or/-im949li.v3c2 n lmukis 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 with mercury (density xt1s *;uqm +bkr/qvee6z*bw ,$13.6g/cm^{3}$) 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.