94.17: A cork has weight mg and densitymp.q de(z*0el i wd,n-9:xx zgem 7m9m 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 tezd(g0ie- *w7:l 99 dm,zxem.xqpem nmrms of the cork weight mg, the tension in the string is:

  01.20: When submerged underwater, the i+yl lm7m5 gy;iyvqc*cvqw6 :t5 lw 1.onmz*;apparent mass of one cubic centimeter of pure gold is 18.3 grams. What would be its mass in m1;g+ ly7wi*:mz oc5q6w n*cy myviqvt.ll ;5 air?

  04.29: Three fishing bobbers all individually,4z ignkdf;z6 float on top of water. BobbersA and B have identical masses and densities but different sh4;fi g,z ndz6kapes 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 thel 5364( laorizbh+; oo)o likq best statement of Pascal's Law?

  05.24: The hydraulic pkyguofj b)0eu 06+ hzl;/z0 kxress, which allows large masses to be lifted with small applied forces, is zyk6khl )xje 0f0gu0o;uz+ b/a consequence of which principle?

  06.30: A copper block is connected to a string and submerged in a c;mf1p 9yyz3mt ontainer of w3mtm1zy 9fyp; 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 is 22.0 m long and 5.0 m wi/q2;gghb 9v6tmwg5fude. If the atmospheric pressure is vtb2g/9 fqm 5gw6 ;uhg$1.0 × 10^{5}Pa$, 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 object 0mvgm- pl . c60l sx6xg3z5stmsubmerged in a cubical tanxv3m-.m6c 50 xplzlstmg6s 0gk 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.1:wo/qnxo d x)wgz1 w5d6o;aw The cubes areplaced into the same large pool of water so that 1w: a5w 6woqon ;/)d d1zogxxweach 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 purda0hxrlupr9p:q 8l l l*sp -72e Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best lq8r-llp0lh7 u9d:aprx 2p*sdescribes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the same radius.nhn h-uva34i7j3d9c m Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the following statements about the buo3 nj4m d-huhcai 9n7v3yant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circular pipe. Inbb :(b;exk 6zs 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 in region with radius 2R? ;b:bxbez( 6sk

  04.24: A fluid is forced through a pipe of changing cross sjq/.e /2 bltp,wkpya 5ection as shown. In which section would the pressure of the fluid be a5t/pb/ j2 p l.a,kywqe minimum?

  07.35: Two objects labeled K and L have equal md qyzm);zc8hwxqu ;4 ,ass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown iwy8qz4hxu ;cmz;)q ,dnto 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 attached to thu9j,: wzewyu6e bottom of a large container of water. The tension in the string is 3.0 N. The gravitational force from thwy 9ue6j:z,uw e earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2. ydz3jnym1 j7l0 j+8iff*sje /50N when a small solid mass hangs 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 t*83lsf1m y7jz 0/fjyjdj +neihe following choices best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material a2znt3zpzq aj,zk 8bv78x 6 8pand uniform density floats in a container of water with 60% of its volume submerged. If this same cube were placed in a contaiq3jtzn ,vx7 8zzapk2z868bpa ner 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 cylindricagivmwvqmuw 2/ )-h-p1lly-shaped pipe. At the lower end, the pipe’wugm2vph 1qw vi--)m/s cross- 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 fluqr50j(akpqm/p6 a0 ahid is marked as it moves along a horizontal streamline through a pipe, as shown in the figure. In Region I, the speed of the fluid on the streamline is V. The c p(am/5jkaq0p 6aqh r0ylindrical, 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 complet1y2pm-i rr( p(tpfjffs.*gl 1ely fills a small 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 thetpf((*sijypplrm fg 1f-r. 12 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 pa7f ak7 h/i-*jmpdi+radius is at rest a distance Hj7+k dmp/ i-p7*f aiah above the ground at the edge 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 a solid cubic bgqwm-euj0d;e 5,2o)0jo5cvc x 0 1nltqbm5xnlock 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 filod1ixskf:z- hs r6cd 5z52dmxu 24b0bled 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 (densi /z.qv*lc 1 u-jz0d(xodwoko-ty $13.6g/cm^{3}$) 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.