94.17: A cork has weight mgrpdeg9/(je+bw4 u j(x and density 25% of water density. A string is tied around the cork and attached to the bottom of a water-filled container. As shown in tg4ux+ j(r(wje 9/bdephe 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 centimeterrc o9rolk) qo,m6 o44y of pure gold is 18.3 grams. What would be its mass in lkor6,ycoor 44q m)o 9air?

  04.29: Three fishing bobbers all ixwcu5(7g3zxb ndividually 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 of b 3x(wcuz gx57water?

  01.18: Which of the following is the ;i /7qoro7udpxl - 8)a/ay cuabest statement of Pascal's Law?

  05.24: The hydraulic press, 5:wj4id,g wi 6 isuww(which allows large masses to be lifted with small applied forces, i(iwdjwsg :6uwi4 w,i5 s a consequence of which principle?

  06.30: A copper block is connected to a string and submerged in a containw)3( xmq ,vsj:(cz wowlh9 d.r9 f(pcier of water.hp 3 vwc io :w.zslqfjw(d99xm (),rc(
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 isaxm.5 2t 7/j2avrm yrf 22.0 m long and 5.0 m wide. If the atmospheric pressure is 2ay .5 /2r xmfmrtv7aj $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floa1he/k 5uyq7fr va-p 8rz16nw fts at rest with 75% of the object subm8 aku 5pqweyf7 /hvr11 zn-fr6erged 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 aluminum have equal mass. The ck-r oiu/amcdf s*z.+a,n8x8 aubes areplaced into the same large pool ofs,n+f zax* a.d-/ kraomc8iu8 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 gqdcqz)xjfcs1r6 hk6 g-.,4xpure Xenon gas. This balloon then is released from rest two meters abo. qr c6,q) -g4gz1hsxxdfc 6jkve the ground on Earth. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the same radius. yp-xfhg r(wd7nfo 5 5- 36yyh tcx01poBalloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the following statements about the buoyant ford yxrp3 y556fh txc 17 fypo(-gwo0n-hces on the balloons is correct?

  03.36: An ideal fluid flows throughd2eno:gaohu s2(+/ b * iicnm5 a long horizontal circular pipe. In one region of the pipe, it has radius R. The pipe then wi/( m *oobge nuha2+5d2s ni:cidens 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;mrga* u1 rn:z3cev7p cross section as shown. In which section would the pressure of the fluid be a minp:mv7 g;r zce1a3*u nrimum?

  07.35: Two objects labeled fya 5ql6 4rmk.,pkrk ag 4msjs0v+)( yK and L have equal mass but densities 0.95D0 and D0, rkl6pr(j.vf +k 4qak)msa my,rys g05 4espectively. 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 lv1osqq5 7;e9m,( yi9thq vita large container ol;(9,q v 7qqt h5ve1 yi9simtof water. The 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 7ykpb ew rv2 na.u.go8(qv7z7te g;y8hangs from it in air. The spring scale reads 1.58N when the mass at the end of the spring is comp7kg;yq.en uvv7r2azbp8( go8.e7 wty letely 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)5 qba; y+t :i ;iicm9)ovquju uniform density floats in a container of water with 60% of its volume submerged. If this same cube were placu+)9 u )5v;q;i :obtia qjcyimed 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-z,be-85)ujjl rx-m xz shaped pipe. At the lower end, the pipe’s cross- sectional areaxzzmeb58 -j)rx,j-lu 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 moves along a horizontale3rh n;i uuf/7 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 the u3fi /u ;hne7rpipe 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 horizontals86o ,2ips y ,1hfsfq4ll0lw g tube that has a narrowing cross-sectional area as seen in thl8q4wf,lohs 0l isp6 2sgf,y1 e 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 radius i/it*.m gd 9*fz(sk fw-cwa *gds 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 tc*z9-**wf ggadfk .si/dm(w 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 solid cubichr151q ihb-ccv tde)hg97d1e 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+q;9s yhxmh-o 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 fil//z6 nstb9uk mled 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.