94.17: A cork has weight mg and density 25% of water x;d5jpu5vni wc7 z+6adensity. A string is tied around the cork and attached to the bottom of a water-filled container. As shownz vi 5pnj57 ;x+d6wuca 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 underwater, the apparent mass ofmg (gtn15rh 9r3 shay0 one cubic centimeter of purmn9g(argrh50s t 13 hye gold is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. Bobas vca2u*,islxy1 1x8m+-fdnbersA 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 waterx82-y xldu im v* 11fcaa,sn+s, which bobber will displace the greatest volume of water?

  01.18: Which of the following is the best statement of f9noqz jp16o6 Pascal's Law?

  05.24: The hydraulic press, which allows ld*if , / lbcrbz.:kcq2arge masses to be lifted with small applied forces, is a consequence of which princ.cq:bb rl2,k*/zfc di iple?

  06.30: A copper block is connewap68i/y sl: n;adov9 cted to a string and submerged in a container of water;n va8dpwsi o a:9l6y/.
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 atmosphe-t2e*m6hi w9vxtvz t 0ric pressure is 6x0*2ezt9tt-m vi hwv $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and unpwt45 0(64v:y wuen1zy c+c5:.kerdqgith a xiform 10.0 kg object floats at rest with 75% of the object submerged in a cubical tank cortqu:yhwc4dzge5pian0+ y6ek tx (c1.: 54wv ntaining $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron and a solid cube of alumin6lo4eq 38 l fj+x*rhtaum 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 buoylr8 hf*a 4je3o6 tx+qlant force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. This balloon then. r83ne 2nxnbk is released from rest two meters abov.e8xr3knnn b2e the ground on Earth. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the same r.ldpd4bjz ;2lor;k m cl(e7c;adius. Balloon #1 is filled with helium gas whml; pd4oc .r bjkd;;7c (lze2lile 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 r: 4jp1q/tf/ ungb0vfqegion 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 : 41 nfvq/b/j tqpfg0uradius R to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross sectio l;f, st e2smmva+l0g(:)csz4d v-njnn as shown. In which section would the pressure of the fluid be a minimum? gsv4 sedn:) ;tmjaz,+ -(llvnc02 msf

  07.35: Two objects labeled K and L have equal6* rl:uajlpwwd b 6ht- 3ah:- w+de:fb mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into apjwhdr ubl:at+ww d:bf -6 3h a:le-*6 deep swimming pool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is connecoqwoe13rrqd: m k i*/r 4xg7d;bs7) ddted 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 force from the earth on the block is 5.0N:o kqdm*3d7dirrebosg ;x417wrd q) /. What is the block’svolume?

  15.30: A spring scale reads 2.50N when a small solid mass hangs from it4vm8g(/s yb8pxv)k j e in air. Tmb()8yg v4sx8 j/ ekpvhe 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: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density floats in a cond8 6zq3pv zar,e 1/taytainer of water with 60d6paz,3/ rq1ye8vaz t % of its volume 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 cylindr p,d ,,y8bgvvdq/vt 6pically-shaped pipe. At the lower end, the pipe’s cross- sectional area p,,gd/, vqdy6tpb 8vvis $ 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 mov+xn8gqhel0v,igl p7(qt doqc8s7(q: es along a horizontal streamlindpc8 xg7+7 l(:hnlge,i0q( qo t8sqvqe 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 fluid when it is in Region II?

  13.25: An ideal fluid completely filr /wy7wu o-pp:ls a small horizontal tube that has a narrowin p /-uwp:yw7rog 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 wider region?

  10.47: An open cylindrical container with very large radid78dj0w* y3jzxn t u37 wk.xj fmiq0an(kc04aus is at rest a distance 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 ou0m .uxnj0cwj7z3w*(78f3xdd atjy qk ia 4k n0t 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 ofu-xa+oj:o46dxh9 b*f k u bgg; a solid 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 6e/u.qd,rse m5hq ct 8pool is filled with a liquid having 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 (dens0owaysit t8 5u9hyq7,ity $13.6g/cm^{3}$) 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.