94.17: A cork has weight mg and density 25% of water density. A string is tied *tn 67ekmxnw+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 the strin*wkx+ 6en 7mtng is:

  01.20: When submerged underwater, the apparent mass of one cubic centimeter of ppxt (: d*cdr6rure goldxr:pd 6(rc*dt is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bob8hacaml/s xk6s lby 2)5i: l-xbers all individually float on top of water. BobbersA and B have identicb y x5al m8/is)l6csa:lx k-2hal 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 of water?

  01.18: Which of the following is the best statem lrju wbyie: 0dk,za5ex c9+:2ent of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be 1qdfy9a nn41mw4n.v ylifted with small applied forces, is nyn w11mfyn4q.v4 d9aa consequence of which principle?

  06.30: A copper block is connected to a string and submerged in a contai-,gz.kfxv 1px x9zl.ld x7zq- ner of w.,xzqzx .vk- lx9lzg1x-7 pf dater.
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 oq8/s:h:ohtmwn l)( zl 5rp m.pressure is lq(phs ):5lo:n mrz .htw/mo8$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest wiyf* 51m9 lgkasxe(vpd5 3bp7zxx x6 f+th 75% of the object submergpxmexzad syg*7p1x6+vf(lb359f5 x ked in a cubical tank containing $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron and a solid cube of aluminx-o: 0vg kfcm1u1;9/mwx jigf fj9g7jum have equal mass. The cubes areplaced into the same large vgfwu :k-jx7/gix m1jcj9;g1 fo0f9m 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 xfwkf,6 .qx:z* nq q26: jtxlawith pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one ofxk*x:fx6tqj6 2al ,: qwzq.nf the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to ha0o 7agi3supu+xi)uq )ve the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gai 3iasq7 guu)0xpuo)+s. Which one of the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circular pipe. In onyufg:57 z ,mcz-7w1e)oto 0 mqndq5ufe region of the pipe15f)0:m cg y tozq5wzqme7und 7f,-ou , 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 changing cross section as shown. Iv9 sj4sk/x0ddc / zer(n which section would the prr4k x/dczv es(dj 0/s9essure of the fluid be a minimum?

  07.35: Two objects ltzxsd otp;w-v8v *ss *)mi5i3abeled K and L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about the b;mpw3*) itzs*5 xs-8vtdoi v suoyant forces acting on these objects?

  08.16: A block is connected to a light string attalp)qz 5;ccwy ; g,x-xjched 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 thz;ygc;l)-qc5xjp ,xw e block is 5.0N. What is the block’svolume?

  15.30: A spring scale rei oknv,ei /* f63*jrft.s8c osads 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 containe 3/ 6,oto ki.sjifvs*n8e*crfr 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 k90/ ret vet,bin a container of water with 60% of its volume submerged. If this same cube were pt k9v/ret0, belaced 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-shaped pipe. q4 or6 p+*swonc1e,x aAt the lower end, the pipe’s *rnp4c,ow6+ qo 1e asxcross- 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 fc2jkw, x: ywtbqc gg(b5ss cj/ 74e(s7luid is marked as it moves along a horizontal streamline through a pipe, as shown in qwss 7e syg4 kw:((jxg ,27c/bctj b5cthe 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 fluidh-gwde9-v(/xq rn;(oc ,cfqowik4h+ completely fills a small horizontal 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 ag( 9hn,k hocow 4r/edwcv -iqf-;qx+(nd its associated pressure in the narrower region as compared to the wider region?

  10.47: An open cylindricalbu 2y5c;o)h9qdombaqn+qq*, container with very large radius is at rest a distance H above the ground at the edge of a platform. A tind5hyb9o;can2o ,q*quq)qb +my 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 a qx upive wfwcwe --w 2b+z4)+.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 is filled with a liquid hi9- g)avug5v s9 hvfu(aving 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 (denshzm+r(w e fmpmg62) ktz hj4y21 yb5 a9.lade3ity $13.6g/cm^{3}$) 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.