94.17: A cork has weight mg and densite7g39-o( g . sh zjyewyou5j5hbz:v:py 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 i ogozhs:: 7e55ze(yj wjgyv 39.uhb -pn the water. Expressed in terms of the cork weight mg, the tension in the string is:

  01.20: When submerged underwater, the apparent majwmvaxi165d;d8 a zgr: ,4zpm ss of one cubic centimeter of pure m,;z wmxdp6diz1a4vg jra:58gold is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on8o vbaw,nd3a,7cr yo0 top of water. BobbersA and B havea3arboc, w08d vy 7,on 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 water?

  01.18: Which of the following is 74lz n6w j4s brs4ia:;lvt 4te):u osqthe best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted with sm98iau+ b 18f ywxd2dhball applied forces, is a consequence of w 1a+ x8duyd2 ifw9bh8bhich principle?

  06.30: A copper block is connected to a string and submerged in a container of .,- gglof/zy( spl0;;;r xfy0qkreqrwarqy0./rke-gx,s q;y;rzp f fo 0l;lg(ter.
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 ani*s:9myq w 3qzd 5.0 m wide. If the atmospheric pressure is msqiwy9q :3z* $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 qe3qfwf m m8 xyxqkeol +/:,o:o8g*u0kg object floats at rest with 75% of the object submerged in a cuef g :x o3x/,l ouqqwq*m:ey+8fk 80ombical 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 alumiolgp) p-gqe0lh)5 +b fnum have equal mass. The cubes areplaced into the same large pool of water so that each is completely submerged and restbq)e+ 5 -)lflg0g phpoing on the pool’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xeno s;ru od 1g;p-gbyfd *ls2hm1)n gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best describes thrp ug;m 2f)d1d 1lg*sos ;bh-ye response of the balloon?

  16.23: At a party, two spheri8zunsclpz0- v;*h 2mx: 5glj tcal balloons are expanded to have the same radius. Balloon #1 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 balloozugzlhxn 0 s;mj82vc:t -*p5l ns is correct?

  03.36: An ideal fluid flows through a long horizontal circular pi-8n grs*; x,l1qbfiii9u re .ype. 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 speed in the region of radius R to tq*ul,9 nr8ei b .x1rfgi yi-s;he speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross section2uoa2py 1- 2emfocwpwu x+5q0 as shown. In which section wou5aopuc euyq0x2 w +omp21f 2-wld the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densities 0.95D0 a+b2hnw4-si o(b,n zkfnd D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which isn4 biofh+wn z- (2,bks true about the buoyant forces acting on these objects?

  08.16: A block is connected to a light string attached to 7v6+(xox*kfyuf2gbi 4m r 9lz the bottom of a large container of water. The tens 2k uy4xvbr7 mol+9(g*fi6zfxion 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 solid2g bi w(-zkac) mass hangs from it in air. The spring scale reads 1.58N when the mass at the end of the spring is completely submerged b)zag2 iw(c -kin 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 matl:n+u k)-yb -z7hyfy kerial and uniform density floats in a container of water with 60% of its volume nbyl)k+ -khuyf-y7z: 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 th ;/eu(ue7utxue lower end, the pipe’s cross- sectional areae;u(t 7uueux/ 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 horize/yn / ,mq knvfqkq4c+;7h r9tontal streamline through a pipe, as shown in the figure. In Region I, the speed of the fluid on the streamline is V. The cylindrit hk7y/ 4vqnn9/ ;cq rmqk,f+ecal, 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 completely fills a smassbu)g(s6 s 5fll horizontal tube that has a narrowing cross-sectional area as seen in the figure. Which one of the fols s)(bf5g6sus lowing 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 qf18a(m0vrykjd*aln:r yf*/bg9y 7s 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 containe:yan8s0*/dq1jyv9 yk ( galmr*rb 7ffr 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 6ep;93j0dcr bxl;srs 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 denx */nuzehb3p..kty v0 sity 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 mercuif,vv* kt0-ti 4q;vgcry (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.