94.17: A cork has weight mg and density 25% of water densn r1lteyj.+ y,ity. 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 .jr lytye1 ,n+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 appar f,yddnc v4bq94wxv+ -ent mass of one cubic centimeter of pure gold is 18y94vx 4dd,vbcf+qw-n.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. Btx;mwbo 14a; tgml.a4 obbersA 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 bobb.;g omattw;abx 414 mler will displace the greatest volume of water?

  01.18: Which of the following is t. f smppk3 mb.p*rn45itx/g6ehe best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be liu2pb7n3mh7 4s1n z dqnfted with small applied forces, is a consz4 1 3qns7unmbpn2d h7equence of which principle?

  06.30: A copper block is connected to a strin zj(fgnt 1,i4ug and submerged in a container of wfji1 ,zgnt u4(ater.
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 pressure isd h qug5s-;exd*i* n0i * ;gqdesuh-xid 5in 0*$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg objectzmq(s;h45 .c ,kcfy qt floats at rest with 75% of the object submerged in a cubical tank c4q;csq(fyt. ,mc k 5zhontaining $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube ofha8 )/sqqls ( .gmz8be iron and a solid cube of aluminum have 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 experience8q aemsl sbg).(h/q z8s the greater buoyant force from the water?

  12.21: A child’s balloon is filled w,, -6g ymin2qk(wwps . 7tgdzsith pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best descrw-zd7iywnmgp,gkss2t6( . q , ibes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the same radius. r8 nyyxj;xk r-o:3rc:Balloon #1 is filled with helium gas while balloon rrj;ynx-k:c8o :y xr3 #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 horizon q,7jh)54 u8urjrjf twoz -+patal circular pipe. In one region of t-zq4)r t5aujujr7h+pj8of, whe 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 changing2 +. cqicqw .*rf:k0n1iclh cw cross section as shown. In which section woul*fik+wc.nrih.qc2w :cq1c l 0d the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densities x.s(4grv4c7d ai0,l8e qqwek0.95D0 and D0, respectively. Each of these objects float.0d 7gw x8,akqqs ie(el4r4cvs after being thrown into a deep swimming pool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is connectedml5aj 4kpfh3 cf6d5wu67w 9z j to a light string attached to the bottom of a large container of water. The tension in thek fl3f6ja9u j54 hmdcpw6z7w5 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 scalrj+sphr eh7xo g46/-e e reads 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(unit: ge67+4rrx phh je/os-$kg/m^{3}$)?

  09.32: A cube of unknown mater j158c+wy)6qdxw rus bial and uniform density floats in a container of water with 60% of its volume submerged. If this same cube were placed in a container of oil with den58 c+)1w wbjxryqsd 6usity$ρ=800 kg/m^{3}$ , what portion of the cube’s volume would be submerged while floating?

  12.47: Water flows ideally through a cylindrically-shaped08p3 h60eqm bicr5m,gek-frca 2u z:k pipe. At the lower end, the pipe’s cross- sectional amip06f cr ,2ckkg0br5um q8h:eze-a3 rea 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 horizont5h /n*su/9 hxwu44ze8 mnnmmv al streamline through a pipe, as shown in the figure. In Region I, the speed of the fluid on the streamline is V. The cylin / 4n4u /sh 9xv5mn*e8mnzuwhmdrical, 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 fluid c4*p) w1 vo6m fhg:(g pfx*orcjompletely 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 and its associated pressure in the narrowrx c6g o:hgjmpopw f*14 *(vf)er region as compared to the wider region?

  10.47: An open cylindrical container with very large radius is at rest a 7).e qerbgsnao0wl n3 (/x4*y t /xohbdistance H above the ground at the edge of a platform. A tiny hole develops at the bottom of/h bgxoo)t0n .4*rnw3(a/bl xse7eqy 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 solid cubic block is given asoky1wkg1h9. pb+-l lwgj1..i0 pgh oy $ρ=0.750 g/cm^{3}$ . 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 dgp8e-i);;,rw(oircy, jq.aqa y ,qqr zm v/- 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 (dtf)bo4z-ctrl5s+i) 1n5c eo jensity $13.6g/cm^{3}$) 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.