94.17: A cork has weight mg anrjw9k )a,k+g rd 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 the accompanying figure, the cork is totally immersed+)gkr wa, j9kr 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 c7j0n 5ce x bsw;jc;mb-ubic centimeter of pure gold is 18.3 gramsc-;e0 x5mwb jjbs7nc; . What would be its mass in air?

  04.29: Three fishing bobbers all individually float lbc*nh7 v c7gahof rg9h 7/ob+(l)b/z 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 bene*/c)h +f7zno gal(l97c/bh7gbhorb v ath the surface of the water, which bobber will displace the greatest volume of water?

  01.18: Which of the following is the best statement of Pascal's ( ei wdqipef 9 2,,b r;(4;4deychhcbkLaw?

  05.24: The hydraulic press, which allows large masses to bw6n20 h5g*; l,r;fu pujketfd e lifted with small applied forces, is a consequence of which principlenj kf625r, *dlh0;ut ;fuw pge?

  06.30: A copper block is connected to a string au y.7 61fqxy.khug m)pnd submerged in a container of water.ufh kg1upyyq. 6.m)7 x
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 atmo i-raroidzw l,af,);t. v- cl8spheric pressure is ifva)-t8wi. d ,a;c lr l-orz,$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and ut)dwaj) s,0tzo;su 1f j4gvy,ne s5/u niform 10.0 kg object floats at rest with 75% of the object su;o,z,v jt )dtjw ss)unfa1 /0s5g4ye ubmerged 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 mbae9 1tn, q9ysass. The cubes areplaced into ty19e9absqnt , he 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 Xenc vwau+e*ym49 on gas. This balloon then is released from rest two meters above the ground on Earth. Which om4 9yuwv+a e*cne of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to hav+jnla )s5ftz 8e the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xen+) asjntzfl85on gas. Which one of the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows thr )q7nqei42s jmovwj. :ough 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 jis2vem4wqq:j on.7 ) speed in the region of radius R to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced t1m5r98d/;n nq30d o apmup qedhrough a pipe of changing cross section as shown. In which section would the pressure n5q/ 8 0emp9p 1 drqoam3dudn;of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but dh:p9ekbx7-v7 (3ep zjn 0rh mdensities 0.95D0 and D0, respectively. Each 3 9vbph0rznpxe7e: hdm7(kj- 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 pwwd- uj2(j(z string attached to the bottom of a large container of water. The tensi-w(jp2zwd(u j on 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 readv2npa s,xv 6f3s 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 container of water. Which one of the following choices best represents the density of the solid mass(unipasv6,3 xf2vn t: $kg/m^{3}$)?

  09.32: A cube of unk d.pkvk:i1t*) /b-2mdalpsfknown material and uniform density floats in a container of water with 60% of its vp):2kt. idvdp 1-l fbakm/k *solume 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 cylindrically-shaped pipe. At kjy)x u7h:j ssjdcr37g /r7vhb4 c t -se*9v-tthe lower end, the u tgj7r47hrs* /jd- cv:yb-sksvht7j x c)39epipe’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 markxisl9 /p* 0wc3sj3xj red 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, horizontal pipe narrows so that the radius of the pipe in Region II is half of what it was in Region I. Wj9wp0s*xil3/jrxc s3 hat is the speed of the marked fluid when it is in Region II?

  13.25: An ideal fluid completely fills a nl n -z2t4*07vx nwkqasmall horizontal tube that has a narrowin2qakl4zx7 * 0-n tnnvwg 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 region as compared to the wider region?

  10.47: An open cylindrical x yi .9d2bygg0 container with very large radius is at rest a distance H above the ground at the edge of a platform. A tiny hole develops at the bottom of the containeryd0 .i9byg2 xg 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 solid cubic block izhx )g+ 74xclqi:x) jgs 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 density gj73,yfkpmedlc.y0 ,8wd t7v 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 (densityla7 ( qowr4hdw0( f,ks $13.6g/cm^{3}$) 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.