94.17: A cork has weight mg and density 25% of wateria ldth43yi/+q p0n 0 ob:l* bnr1 l6n/h+svye 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 ibi hn+6v oen+lani004 1lt/hbsr:l * /yd3q pyn the water. Expressed in terms of the cork weight mg, the tension in the string is:

  01.20: When submerged underwater, the apparent mass o4rl-m,vnkd o 4f one cubic centimeter of pure gold is 18.3 grams.m,d4 4nov krl- What would be its mass in air?

  04.29: Three fishing bobbers all individuallyd77) c.it wk rd4rbn6y 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 displace the greatest volume of water6ct4nd.b7yd wr r)ik7?

  01.18: Which of the following is the best se2g9n1 tsvg s 69oftc+2s*rz9ya mn r)tatement of Pascal's Law?

  05.24: The hydraulic press, which allows largmf p5;jsw/ e3me masses to be lifted with small applied forces, is a consequence of which principle/wjfm5;me3 p s?

  06.30: A copper block is connected to a string and29/bx*+rodnkh,9y v u jk*mzq submerged in a container of water.duhbz n/*o+ vqk9,rk2jm *9yx
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 a;* x qw9s8 zkt(oe*llund 5.0 m wide. If the atmospheric pressure is *(zq lu 8;w9klex*sot $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 75% of the obje:8(zo:t7p wa ak n3dacct submerged in a cubical ta(a8azc3ptan7:k do :w nk 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 solpv 9g 2)mw lik39mz0qa q9qh7eid cube of 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 wateg7) 9zmk q0hl9e ai qm3qw2pv9r?

  12.21: A child’s balloon is filled with pure Xenon gas. This cd)ow 7io.t6 8kta.hws z,/*w/jntsu p0ywq1balloon then is released from rest two meters above the ground on Earth. Which one of the following choices b8uzson dj /k)w,wt1.6awt cs i7.t ow*y/qh0 pest describes the response of the balloon?

  16.23: At a party, two sphericalek++d kbzy31s balloons are expanded to have the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Whic3b 1y+dk skez+h 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.2 rgspd x f11)pr/e/1eiwpw,h 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 /ps1xp i, 2dwrfgwep1)/rh 1eregion of radius R to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a j2:vurhu/46h8didx rpipe of changing cross section as shown. In whi h6/8:d4vhuudj x ri2rch section would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mb+ 9k/sua i6 gtj*5cbrass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrr 56c /9a* +jkibbusgtown 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 attachedsd:ge 1bytgeh l8:+7i to the bottom of a large container of water. The tension in the string is 8: e +g7ilgydb1: htes3.0 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 mass2 n7io5cvn 3da hangs from it in air. The spring scale reads 1.58N when the mass at the end of the spc32 a5nd ovni7ring 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 andnypg3 k;zh1z 8 uniform density floats in a container of water with 60% of its volume submerged. If this same cube were placed in a container of oil with de83p1h;zz nky gnsity$ρ=800 kg/m^{3}$ , what portion of the cube’s volume would be submerged while floating?

  12.47: Water flows ideally through a cylindr/(y3 vwnij qpm- .kzd1ically-shaped pipe. At the lower end, the pipe’s ck pw( 1 idmzn-vj3qy./ross- 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 mov hb j -/gnksbkb(*f72tes along a horizontal streamline through a pipe, as shown in the figure. In Region I, the speed of the fluisb- 7* ktj(bngfh/ 2kbd 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 fills a smalb zqso7 :88h,rkcw wm4qa.n2 ml horizontal tube that 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 narrm, r:mbn8q.k2aowsqcz w7 8h4ower region as compared to the wider region?

  10.47: An open cylindrical container with very larg ;eaav:mvwu- 3xel e;8e radius is at rest a distance H above the ground at the edge of a platform. A tiny hole develops at the bottomwuv ev-8a alme;x ;3e: 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 cl.nq4 y6i(h giz,:vulubic 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 densityf 3/zbds-yb( jc)zxh) 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 (denw n hiq(4 .een/,+wmlasity $13.6g/cm^{3}$) 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.