94.17: A cork has weight mg and density 25%2qtt9 rg 7q 96 0yth:lzxhu2vt of water density. A string is tied around the cork and attached to the bottom of a water-gz9:trt2 7h6yu lq0 x tq2v9htfilled 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 apparent mass of one c +dz4o+wmbmnq 5+y hw(ubic centimeter of pure golmqm+4y +ozn b5wwh(+dd is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. Bobbers;4 fxmdte1xf,4q-u jiA 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 identi q4t1, f;-4uxfdmxejical 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 Pascal'8sj4gwf* /kq (n ej2sk bncs-+ogwp (6s Law?

  05.24: The hydraulic press, which allows large masses to be lifted with smalllabhi(pn(+p ( fh( 0ah applied forces, is a 0( plfa(+(h b(hipnh aconsequence of which principle?

  06.30: A copper block is connected to a string and submerged in a cono6k) m ree ig;ru,8um)/mg7ortainer of womkrr)ur; /emu g68,7oeg )imater.
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 5,8c evw,f ct0 1ix5muu.0 m wide. If the atmospheric pressure is 1 c vw0xeu5imcf 8,t,u $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.022icu1ijy1 eb8b(l kau kc ;5h kg object floats at rest with 75% of the object submerged in a cubical tank ccbl(uih; u 12i15akj2e8 ybkcontaining $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron and a soln ;h.g6ui3iteb59blnid 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 buoyan i5 hnle.6t; bb3iu9gnt force from the water?

  12.21: A child’s balloon is filled withcbtabcwg+3/z( u 1w0r2 3 ovnn 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 t 0+nw(1z tc g2rubn/a cwv3b3ohe response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the same radin7:l cz.oh-a 9g mewin6s1lo:us. 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 i 71an9m ilhslcgz-e on:.w: o6s correct?

  03.36: An ideal fluid flows through a long horizontal circular pipe. In one r5f+mhd,jk5l1 wy lui hg; lt 5.,vm7ecegion of the pipe, it has radius R. The pipe then widensgv 7l h5tehyj,5dw +ui. m1m5lk, l;cf to radius 2R. What is the 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 changingzw 8kxfq1k5-sz5c7 k b cross section as shown. In which section would the pressure of the fluid wkk bc-xz5 58z1ks7fq be a minimum?

  07.35: Two objects labeled K and L have equal mapgvoxqdrp:6/ 7b/ ; hdtho 2a*ss but densities 0.95D0 and D0, respectively. Each of these objects flvxt/ dhaq ;p*6prhd2: og7o/boats after being thrown into a deep swimming pool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is connyzasac9 39oyz + +-;1yj rwurmected 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. What is the block’svolu ;om+yy-u 9c zzw3 1ar9sajry+me?

  15.30: A spring scale reads 2.50N when a small solid mass hangs frv0 9qs t) wcw)yw2aow1 mn /rwq3-ac3rom it in air. The spring sca/rcsa2 wo9c0w)ntq)3 wma- vw 3yqwr1 le 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 d)/pdo9rwir b6ensity floats in a container of water with 60% of its volume submerged. If this same cube were placed in a conro)6d bpwir9/tainer 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 li -,st(dem14hs 0 x livq;iu9wower end, the pipe’s cros,9h;1iqtmx id -s4il u0wsv(es- 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 moves along a horizsrl((x c6)rnyce ;qs.ontal streamline through a pipe, as shown in the figure. In Region I, the speed of the fluid on the stscc l.x)r(y r( esn;q6reamline 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 that az 3e+ k;kcs(qhas 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 cake zqs(+3 k;the narrower region as compared to the wider region?

  10.47: An open cylindrical 3ex.jq6lr y8x container 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 container and water freyr86 x xlj3.qom 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 rwl7 9csv5;nois 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 a8*tf qxi ;r6w*pfa 0c2zyrg-o 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 mercun4db (s.m3sp3z0:c se 8ck tt(jh oy;iry (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.