94.17: A cork has weight mg and density 25% of water density. A string is ti)tn8d5lh 2 tajji- dn4ed 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 cork weight mg, the tension ind82dt i5-j l4nnh t)ja the string is:

  01.20: When submerged underwater, the apparent mass of one cubic cen t4u t1*,wfydatimeter of pure gold is 18.3 grams. What would be its mass in fw*tu4daty,1 air?

  04.29: Three fishing bobbers all individuai)itdz0f-;xvb 9 ,pdr lly float on top of water. BobbersA an)t9,i;x- f vdi zr0dbpd 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 water?

  01.18: Which of the following is tw2ya 3xaq. e,dhe best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted with small apfwf+79d s3wt lplied forces, is a consequence of wd w+tf7flw9 3shich principle?

  06.30: A copper block is connected to a string and submerged i:dyxo;wc */ari0sy 2jn a container of water. y:yior;*s2 cd aw0xj/
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 3orslbrzd, m6 h(1ji .nzw )88ymin8 rlong and 5.0 m wide. If the atmospheric pressure is 6z orb8.lnminr3 )m8zrh,s(id w8y1j$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest 2 a .uu fvn8ovj6,5ttnwith 75% of the object submerged in a cubi8vjta6nu .25o, nut fvcal 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. Th blvh(fgoc / 8at/8 ,iyfls18li+ciz2 e cubes areplaced into the same large pool of water so that each is completely submerged and resting on the pool’sbottom. Which object ch/ 2c1i8f(8lz,ft/ sl8 bvig+yi aloexperiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xe5- 9ap5 krmp 2fwsiktokt-lh/kf;* - xnon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the followp xsimk-/-5wkf p*-krl9k 5fto t;2ahing choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are exvrdc1+ygll+np)oe m q -nd t 8d37q3/xpanded to have the same radius. 1 d+d 8nl)m xdq7qnte3po/-+ yg3vrlc Balloon #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 hi/ib z4j*ux0 porizontal circular pipe. In one region of the pipe, it has radius R. The pipe then widens to radius 2R. What is t/u z4xpii0b* jhe ratio of the fluid's speed in the region of radius R to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross pw:9b5. w g6 tft0ghxzsection as shown. In which section would 6f90wzxt gt. wbp 5g:hthe pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densities 0pyemo*p v:lv/ye/4 j 1.95D0 and D0, respectively. Each of these objects fl*p4v om// pyee1yl:v joats 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 67zs3z ix 18ngfor7 hwstring attached to the bottom of a large container of water1r7ns w6 z8z3i x7gfho. 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’svolume?

  15.30: A spring scale reads 2.50N when a smalj ifpq5. sb.6t)xw.ks l solid mass hangs from it in air. The spring scale reads 1.58N when the mass at the end of the spring is completely submerg.xi)q.sjts 6p5.k wfbed 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 uniforf:/g2ddtbn )e m density floats in a container of water with 60% of its volume submerged. If this same cube were placed in a container /fdg2tedbn :) 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 cylindrically-shaped pipe. At the f kc0s zo:l0(xvvy;(ylower end, the pipe’s cross- secti0 vzvf (oy0cks(;x: ylonal 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 pkld)do v/ ,g4a horizontal streamline through a pivg, o4dkd)l p/pe, 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 fills a small horizontal tube tti rn4jsg+*as779 lu7pjgq p :hat 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 nag+aqips u4p sjn:7tl7 j9rg7*rrower region as compared to the wider region?

  10.47: An open cylindrical container with very large radius is at rest f.p jq,g,o-b*yo1 vyma distance H above the ground at the edge- y1y v,.*jfombp qog, of a platform. 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 zprzea vk jkomo7y05*1w g 01,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 poocggd m+p 9fu6o z*nh2(l 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 (density mr8jc w 0)d, 8dz:4bcvf;ygng$13.6g/cm^{3}$) 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.