94.17: A cork has weight mg and def4;4xv byob8/ pgsik2f/iu y2uiu 4 6mnsity 25% of water density. A string is tied around the cork and attached to the bottom oiy62u vyx biu/m8 2g4fpb4kif;/sou 4f 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 unde)wyjswh28byap -hx4( rwater, the apparent mass of one cubic centimeter of pure gold is 18.3 grams. What would be its mas h- )(wjyph2 axwy8sb4s in air?

  04.29: Three fishing bobbers all individ c rpgh/h6+,iq/ubdgw126b stually 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 densi+,g1 r662 bwhd/tqcpbsi gh /uty 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 statement of 8.hikv ht(rf(vh q, i/Pascal's Law?

  05.24: The hydraulic press, which allows large masses to v+b:n +;y r- z1 jdfala-vy:u)vwor.hm,x4n pbe lifted with small applied forces, is a consequence of which pri)lynhrb.+v,4 +m n;o: w -v fauyd: zxpar-1vjnciple?

  06.30: A copper block is con0zi sity/*rf;4cx+a vnected to a string and submerged in a container of water. ;t /c*rs+vyxifa40iz
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 atmos9 09mv;i:u-in fv fiet,9 yzvvp jm;l-pheric pressure is muvfz f;,lm0y ev-t vipnv-9i9j9: i; $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg oef9g i.akj)q bl4)zb1 bject floats at rest with 75% of the object submei .k)4ab1blezg9 j f)qrged 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 has,yft93p;lm ec4h 1sxve equal mass. The cubes areplaced into the same large pool of water so that each is completely submerged and resting on the pool’sbottom. Which object experiences ,hm;3y x4plct 9fse1 sthe greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. This ballooo0 sq4 k17uuqmz+ yt(an then is released from rest two meters above the ground on Earth. Which one of the following choices bes7uztms auq+o4yq(0k1t describes the response of the balloon?

  16.23: At a party, two sphkmfn-59t bd7lerical balloons are expanded to have the same radius. Balloon #1lfk-btmd n97 5 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 balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circular pipe. In one reg30d3dt /(d(zncmxq;a wyba. cn 2dm9a ionat; (zd nn0(b/cyxa qdc2 w9.a3 3mmdd of the pipe, 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 cha2ahr o 4k-+18jhrxzdm fgb; a9nging cross section as shown. In whichx;k- 19rhzaj 4fhro+ gdam2b8 section would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal v,k9vs z e7dl,mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thro7vvl,ek d,s 9zwn into a deep swimming pool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is conne1cven( rfwm* +fhn ug/+ t(4uncted to a light string attached to the bottom of a large container of water. The tension in the string is 3.0 N. The gravitational fwtnm (v 4nfu*nu+ g(hfe/cr1 +orce from the earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50Ns3,k+cd1k e bg 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 completely1d eck3k+s,gb 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 in a contapjo 5sa-a-a, hiner of water with 60% of its volume submerge-sh5 ao ,-apajd. 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 the h; bkbd0s 037wrwtm aj*x4y/y lower end, the pi;ds3*y/k 7w0 t 0wmha4bxby rjpe’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 markedc t5s1 h*-7l agnmgrkw8ku p9het((,o 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. What is the speed of the marked (ga 9k tr 5wnpksu tegm-1ho (*l,h7c8fluid when it is in Region II?

  13.25: An ideal fluid completely fills a small horizontal tubepf( k+ob w1ep1 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 and its associated pressurek1f1op w (epb+ in the narrower region as compared to the wider region?

  10.47: An open cylindrical container with very large raor6yc,vmv34jf6-d;yi nnq z *g r5wq/dius is at rest a distance H above the grounvcrjf n, yqn6dw m;4 yvz6q *5gi-/3rod 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 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 soldzf 1:qop dy cma2(g*2id 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 having a densiolsdh-p7 -)4yrw2ypwxp* 1w mty 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 mercuryt phajauih3v7c4 3fqk,8.9dx (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.