94.17: A cork has weight m, .efmuvi 6m3t2juz0wg and density 25% of water density. A string is tied around the cork and attached to the bottom z t6juiuw20.v3e mm,f 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 wi k:yc4 g)ae+ue h2,oapparent mass of one cubic centimeter of pure gold is 18.3 grams. What wou)w a,e4ck2 :ouhie g+yld be its mass in air?

  04.29: Three fishing bobbers all individufb (:rj:kg3d-+je2fcbqur .g ally 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 identi jubg.eq+r 2dgfjr3-(k:fc: bcal 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 theyan b-c iypk9)sk1.u 8o4ls y, best statement of Pascal's Law?

  05.24: The hydraulic press, which allows l6 (aw9 fw5dbvg9kwq hq,w /u9rarge masses to be lifted with small applied forceh ww9k f699wquw,gd5rqb/( vas, is a consequence of which principle?

  06.30: A copper block is connected to a string and subbge ;lb-igo1, ; yvk-vmerged in a container of water. ;1e,ivy-gbgkv -l ;bo
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 wide. If the atmospheric pressure is s -x.kr 3nddq2 dqk-23r . xsdn$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 75+5:g kwoj gj5d% of the object submerged ij5wkj g:g+o5d n a cubical 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 mn8dg -wcrc)) nql;y;zass. The cubes areplaced into the same large pool of water so that each is completely submergennyld ;zg;r ))8cwcq-d 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 0vq4y dvh69cf*0k (g tyl/4jiyw1 w-jqbg 1l hpure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choices besvvhfhqci94j( 1kg qwjgd*4/ly 6y01yltb 0-w t describes the response of the balloon?

  16.23: At a party, two sphericacj )jf42c2o npl 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 stateon) 4cfj2c2pj ments about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontalgzm-*0)2/s wjtpg shc circular 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 sht z0ps jg-2/m*cgw)of radius R to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changin3t wpw*uuw2 a)g cross section as shown. In which section would the pressu*awu)p uw32twre of the fluid be a minimum?

  07.35: Two objects labeled K andr / jh+vsw-hne 4bmoca5a38e3 L have equal mass but densities 0.95D0 and D0, respectivelyh-h3aasvbejm58w oc+ /r4 ne3. Each of these 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 attached qgxl5jwpc20 :to the bottom of a large container of water. The tension in the string is 3.0 N. The gravitational force from the earth0jqp 2x: wcg5l on the block is 5.0N. What is the block’svolume?

  15.30: A spring scal.0pgvz hwnd)qq(+ 6o(1uh yuhe reads 2.50N when a small solid mass hangs from it in air. T61 dyq) (uhu.zwqpn+o0vhg (hhe 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 following choices best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform d6s+k .zf1 p3ps ock-gyensity floats in a container of watoppzck+.g 6f- y3k1ss er with 60% of its volume submerged. If this same cube 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 cylindrically-shaped pipe. At tdq o/ve)1g;s b( 7frpphe lower end, the pipe’s cross- ss7gpv o/1fd rqb;e(p )ectional 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 al) 1wz8 iwseu sb4uy*,n ideal fluid 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 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 *81liyb ,)u4 zewussw marked fluid when it is in Region II?

  13.25: An ideal fluid completely fills a small horizontal tube tha72fg jf*go 4g ycp e k.nig-d51upk,n,t 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 narrower regiok5,fj47- n,pgdy*2 ggnuip 1gc e.fokn as compared to the wider region?

  10.47: An open cylindrical ozv+)b)5+ov q dypvb6 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 p)ozv6q + vo+5b)v ydbcontainer 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 afet3m 1w1kl9 ,b.6hgum0r ptf 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 pool is filled with a liqz er ) zn;sf.ug+0q)lguid 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 (3o 7ec.plr9gdf8 xus1density $13.6g/cm^{3}$) 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.