94.17: A cork has weight mg and density 5ja-0wt86qqtpd yrssv4 o8 *cf )/wpd25% 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 co-8acyqt) t4jdd p v*w/rfs p5swq0o68rk 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 qt;t;il0 5e79xae bncapparent mass of one cubic centimeter of pure gold is 18.3 grams. What would be its mass ib ea;;t5nq e0ltx7i9cn air?

  04.29: Three fishing bobbers all individually float on/(* +h lt1osiz 3cijph top of water. BobbersA and B have identical masses and densities but different shapes while bobbers B and C have identical sicph1(o +*i3 tls zi/jhzes 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 the best statement of Pascjf ;/ l8o/ygrzal's Law?

  05.24: The hydraulic press, which allows large masses qrqz ; iyk)cxti9k- /j( sb28kto be lifted with small applied forces, is a consequence of which p)2k8k;qkryq z9x(/tbs-ci jirinciple?

  06.30: A copper block is connected to a string and svbtab; tpty(rpm)/5n 9+ dvq2lt e4b; ubmerged in a container of watn5;t vbl(dv4qrmpbe ;pt+b)92tya /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 zl8+v)bo ezu h/yn t+gy h-58am long and 5.0 m wide. If the atmospheric pressure is +l h8y)z+nzt5agh/ubo8 ye-v $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and un lzwsy3efhm8k++t ajoryc2,)8do+7biform 10.0 kg object floats at rest with 75% of the object submerged in a cubical t3+ )w 7mey 28yz s+j+fhboa odklcr8,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 o 2lt8jc wq+ eai(6dnb (s+s7kqf 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 experiences the greater buoyant force from the watq8di 6(tl+ 7n 2j+wq(bsscaeker?

  12.21: A child’s balloon is filled with pure Xenon gas. Thifxeq2 yxv1 d,1bab+ri-6chb p7-gc9 ns balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best describes the response of the bal+h-x,7vbq- e9 c61n 2apgc1 irybbdxfloon?

  16.23: At a party, two spherical ballos d la(gcu3r)d (-g(qrons 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 3 grs()d l(ugacdqr(- 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 onebqio0. l1ch8g7phki -se6e .s 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 the speed of the fluid in region with radiu7siec k-. . ipeh lh06g1qbs8os 2R?

  04.24: A fluid is forced through a pipe of changing cross section as w5bkz:2f/zg /1p w7wlik( -iz+djt txshown. In which section would the pressure of the fluid b wzwjwk/it2/ -5xiztdkf 1bl +7gp:z(e a minimum?

  07.35: Two objects labeled (s70x -*fsvcjbm e7iuK and L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about the buoyant forces au7(b si0f x7es* -cvmjcting on these objects?

  08.16: A block is connected to a light string attached to the bot7y7m2ez,j 5y pkaxbuu5/gl5 etom of a large container of water. The tension ik5lpy/7 bz juxamu7e52, e5ygn 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 hangs from it in a 1tqxn,w6u /t6p5tpqy ir. 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 choic uq,51pnqt 6pw/6tx tyes best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown materiae(- 2c(qwm)uiufo,-ci 71olf kdh+zb l and uniform density floats in a container of water with 60% of its volumz uhe c ,i( 1-f(fcobwuod27mik+)ql-e 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 the lower e34jq 4n.uej (yebw d0lnd, n4 wl(edj 0e4yjb.3 quthe pipe’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 marked as it:wy:cpswar4 b (/e galhl2+z7r 1p0vu 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 halp bvacw7s0p ge u(rl4:y+rz/2a wh:1lf 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 horizontal tube thw+o 3s f9sq4ck8n gow6at 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 narrower region as compared to the widnos kg 8f936+qw4w coser region?

  10.47: An open cylindrical container with very large radi qh6;hh3d9h;ng5i hb8q sv3u rus is at rest a distahsd8b9ir; 3hhv6g;hq5u qhn 3nce 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 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 * n3esyj8.sqx9hp 3tu 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 a7/-7sot z8ilgspv r3 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 fillezzl+k c(kx74vxk /. .zqbk m,cd 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.