94.17: A cork has weight mg and dens,+:ddv;k zmc5(upsmb ity 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 in the water. Expressed in terms of the :dsk;v+m bmz ,p5(duccork weight mg, the tension in the string is:

  01.20: When submerged underwater, the apparent mass of one cub(h7yrvh t*p 1(a7ma-sq 2h rwzic centimeter of pure gold is 18.3 (y- rawq7ha m7h r(* 12zpsvthgrams. What would be its mass in air?

  04.29: Three fishing bobbers allk. +o b-s (buywmm ngk37vf;3z individually float on top of water. BobbersA 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 dispf3o.mkv-(sz;b 7m uw yn3+g kblace the greatest volume of water?

  01.18: Which of the following is/c *ao04swzow the best statement of Pascal's Law?

  05.24: The hydraulic +*frhe5rik50 * t+t 9kqun)/klgljbopress, which allows large masses to be lifted with small applied forces, is a consequence of whic o 5 fe95kt*r*)l0 ln++iqtkjgk /urbhh principle?

  06.30: A copper block is connected to a string and submerged in 5c r kxha9t;3tv44p ala container of water.a;t 5krt4 pc93v4xhal
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 any op*9+ q6ju htll2bg,d 5.0 m wide. If the atmospheric pressure is ytg2 h6 q*ju, oll+b9p$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest witizy u,ku:/w 2dh 75% of the object submerged in a cubicak/dyz: 2u uiw,l 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 aluminum have e jip2(a siue2*qual mass. The cubes areplac e2i*p2au(s jied 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 water?

  12.21: A child’s balloon is filled wilvhu(ks5mz8 hxp.c 7- th pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best describes th .v8zslm(hukch7x5- p e response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the same +w4hib9* hpl9o8wq o8((n0ue ev 7na/fdyqeb radius. Ball e(l8qd(u ew 4ebnw+v*qpbh979on/0ahfy 8iooon #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 balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circular pipe. I,csvch 0 8lnt8f1a5i vn 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 raa58is0,l8 vcvchtf 1ndius R to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross section as shown. Inu-b-s p fpeea4bd-*+ o which section would the pres p 4 -ao-bpd-f*sue+besure of the fluid be a minimum?

  07.35: Two objects labeled K and L havehl9 g/0ez cqv3 uciehuboh8x,0o --r4 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,he300e- lg cqo/uhv-x buh8z9 io4cr buoyant forces acting on these objects?

  08.16: A block is connected to a light string attaciz +pcl d4yw1)hed 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 id zl1 +piy)c4ws 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N when a small solid massj0.2yimm5q/9ff uo xn hangs from it in air. The spring scale reads 1.58N when the mass at the end of nxqmyj/9f2 o0ui5.m f 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 a2 rtx 02pl( ysd2rls;and uniform density floats in a container of water 0( rpy2d2a; xtlsrls2with 60% 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 c6 b0h na:hnr6cylindrically-shaped pipe. At the lower end, the pipe’s cross- sectional are6a hn6b:ch0nr a 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 horizontal :(4i/rqzcd4u5z0 d p via60:jcwpwnh 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 half of what it was in Region I. Whatrvd5 0p h6iu:jcniwapz:4w(d/0 4z qc 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 has a narroweqdbfr5 6k o)z1+h9 mring cross-sectional area as seen in the figure. Which one of the following choices best descrer 69rofmb1+ q )kdz5hibes 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 contain /s2*faxoc (dler 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 contal2fco/xd* s( ainer 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 soli rv*w9*+f)fb60 8zo ibjgrfve d 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 swimmin 2e8s -qlzr4c:k o7 /tirhj)vv d,a6mxg pool 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 fillehl .r c)zn;senkc;md1tox;)* d 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.