94.17: A cork has weight mg and density 25% oax4(w+-4s.o +- rtnfanr d+k q ccdc1ff water density. A string is tied around the cork and attached to the bottom of a water-filled container. As shown in the ac ord c4c4xa(dtk+1f +nnq+ -sar .c-wfcompanying 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 underwater, thfb ( 2bu.ioh;bb4 vrv7e apparent mass of one cubic centimeter of pure gold is 18.3 grams. What would be its mass in air?bbo b2 7bu.fr;ih4v( v

  04.29: Three fishing bobbers all individually float on top of water. qf l0xm;n8h4rBobbersA 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 bobber will displace the greatesq0 h8;mxn4frlt volume of water?

  01.18: Which of the following is the best statement of Pmvn a+in8o 1;tascal's Law?

  05.24: The hydraulic press, which allows large masses to be liftrlb;m2ov 7 dm v1 upghinr5ty/587o,zed with small applied forces, is a consequence o 58,i;5ol o rztgp/nrv1u7mvd2 mh7 ybf which principle?

  06.30: A copper block is connected to a string and submerged in a contao95pyeg cb 11siner of water91s p1geo5cby .
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 pres)vv 4ar 7-bpfosure is p a4b7)v o-frv$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniformwh5 uls.e;btyyf iq.x ;.qlg1j97 ; ut 10.0 kg object floats at rest with 75% of the object submerged in a cubical tank con9; u5 jt.squb7. g xi.;llfy1wqyt e;htaining $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iro-w uxe-xp++n mwg-p1u/uxm (cn and a solid cube of aluminum have equal mass. The cubes areplaced into the same large pool of watu+w+mn-xegmwpp uc-1 - ux(/ xer 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 Xenon gas. Thisqk1sg6bn2 v h/c lhi(, balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best describhn2/61 bgishv,qk(cl es the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the same radiusiyv*rkw7t y+yilx7 ,)rv-m 3a. Balloon #1rv ak ),y i+*rlmx-7yvt7yi 3w 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 amsy2g.3at5qp(dj y u: 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 speed in the region of ru(pmy35sq.a 2 gdtj :yadius R to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of 0 a2r0.9hc s/yfnseeer lnz7*changing cross section as shown. In which se0na2ee ./lyc*0 rfse7hzr9nsction would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass (e7v5 jamu6z9 ;kpx odbut densities 0.95D0 and D0, respd6x;9o5pau( mz e 7vjkectively. Each 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 string attached to the bo4qb 4s7ue sua45s h-oxttom of a large container of water. The tension in the string is 3.0 N. The gravitational force from the earth on the block is 5.0N. What is the block’4eu4-xu5sob4sh qas 7svolume?

  15.30: A spring scale reav*s7god8yj )0g7k5w 3i mfpe wds 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 5fiowgg0 dy37jm* pvkew8s) 7the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknona..5 zopqqh 0wn material and uniform density floats in a container of water with 60% of its volume submerged. If this same cube were placed in a coq5q.ao .0hpnzntainer 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 idktp . q2da-9)bh3*ggxgomy.leally through a cylindrically-shaped pipe. At the lower end, the pipe’s cr9adkxp.hg. l mbg)tq2g-o * y3oss- 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 markpzh6esxp-/+ ded 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, +zp xdh/e6s -phorizontal 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 small horizontal tube that hgxzbco)8e1 sat 7e p(6as a narrowing cgx)p s 7cbzae68to e1(ross-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 container with very large radius is at rest a di ennlal3ap8;: stance H above the ground at the edge of a platform. A tiny hole develops at t a :ln38;nlepahe 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 block is given j74w 2zp/g4eft f pzguv1 j0-.tm sj9tvx+ba;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 of ofm,lm;0 pj9 o$500kg/m^{3}$ . 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 fi-l2s-a t7yc*mzt 1o wulled 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.