94.17: A cork has weight mg and density 25% of water density. Ae8lvrhl a- vo z787qz) string is tied around the cork and attaolehavv 7lz7q-)8 zr8 ched 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 cork weight mg, the tension in the string is:

  01.20: When submerged underwater, the appare/ n1 p34fpdmaei a:-bfnt mass of one cubic centimeter of pure gold is 1f3-ia maf4:1pn p/de b8.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. Bobbers+qw 0zcfs-3ngA 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 thres3 - +qwn0zcgfe 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 Pasl, f 3z7(/ niaj, g4bykjgqqnn+bk66scal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted ww* mscu4y kx-2ljb0s0 ith small applied forces, is a consequence o 0ul y0mxk-w4s2s*b cjf which principle?

  06.30: A copper block is connected to a stringn8t4 ,hiavh 6. 7wz0;dzzyclr and submerged in a container of whzvdiwrh ;z.6cz0,8nl7ya t4 ater.
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 is0jyy3nly7yj jubwcbs:8m..o)n m; 3 a 22.0 m long and 5.0 m wide. If the atmospheric pressure is l7bu y ;)o :cmy30bjjmnw8 3n.s.ayjy$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg v7.m q*r/ttwtobject floats at rest with 75% of the object submerged in a cubical /tt.r 7qm*twv 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 equal mass. T6)lurbu)jg2 yyu+ ,im he cubes areplaced into the same large pool of wat uubl )gu)i+ym 6ryj,2er 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 purcr y 2r4+ext2re Xenon gas. This 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 ballo2t ex yrrrc+24on?

  16.23: At a party, two spha s1c(ev0p*ip erical balloons 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 the following statements about p1sevp* i(a0 cthe buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circular h* 7 :bkn 3dnvs(shzh/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 radius R to the speed of the fluid *d3: kh( vn7s hzsb/nhin region with radius 2R?

  04.24: A fluid is forced through a pipe ofl o hs 66gt(ysi.3qljb04trr4 changing cross section as shown. In which section would the pressure 46 ilsh grqs34t lb0rj.t(o6 yof the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densic4p j7tc+,wd p*w s+m jg+uos7ties 0.95D0 and D0, respectively. Each of the7 d+ju7ww scmp*+t4c,gjs+ opse 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 attached9eey c;a ;:q9qsbkg e: 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.gecase9:; keqb:;q9 y 0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N when a small solid mass haonwss;92u )irngs 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 followin)soi2r ;9uswng choices best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown matez ) nsh6cizr7,rial and uniform density floats in a container of water with 60% of its volume submerged. If this same cubeicr7h6sn) z,z 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 cylindrica ey ywo;3bs3ra:pai2.by4y v: lly-shaped pipe. At the lower end, the pipe’s cross- sectional 3p;: 34:ar vay iosbe2.ywb yy 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 moves along a horizontal x3c) uu5,/3tdx -4tozsj 6k4zghbzvnstreamline 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 Regi6-)3dco5z/uzs vu,hx zgjt43tkbn4x on 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 gd)iy3c:v0vbq)p qz9 tube that has a narrowing cross-sectionqvb:03ydi) z)qcvp9gal 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 g65 sh4:iadkb a distance H above the ground at the edge of a platforag:sh b6i4dk5m. 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 block is givj+k ,81c qu il;a)fgbuen 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 filleue8ivwm o o/85d 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 (dens,1bj /tkz9 ;qos2e ,ixr9ohzxity $13.6g/cm^{3}$) 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.