94.17: A cork has weight mg and density 25% of water density. A stri2 p0 r;xnrsid7w:,rh fng is tied around the cork and attacnp rifd0r,sh:;x2 wr7 hed 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 apparent mass of one cub-atl o7 +*mk+v;ccjhte8 *wdoic centimeter of pure gold is 18.3 grams. What would be itl+kt*ao -7;c +*me wtcdvh8 ojs mass in air?

  04.29: Three fishing bobbers all individually float on top l2bcyn yl2kq m1:mxpllb - exu08m t9/xn-:,cof 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 identical weights are then tied to the bobbers and all three are pulled co-qmpbnu2xm: lt291x :el80ly/c,-mkx cn yblmpletely beneath the surface of the water, which bobber will displace the greatest volume of water?

  01.18: Which of the followingkdr)-xv h-eq1 is the best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted with small ls cu/nh,k/d* ,aeg; bmfe,5y applied forces, is a consequence of which py;n b,k/,c glh df aemu/5,se*rinciple?

  06.30: A copper block is connected to a string w;)er(tdd/ i7tfpzn0and submerged in a container of water.ite/f;ntz w0 d )rd(7p
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 iv-0:nxnh;xvkdo jz a s9w7 8(es k:7az( hswxend n -0;j9x8ov v $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at r 7qorabzd+9-w.q/ wr sest with 75% of the object submerga/w rqd .9r+b-osqz7w ed in 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 atvyd5*,vt 3o6;kvcex nd a solid cube of aluminum have equal mass. The cubes areplaced into the same large pool of water so that each is completely submerged and resting t5 exv;k6 c*3tvy,v odon the pool’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s bal,b(ll;xk 1no vloon is filled with pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Whic xn bl(lvk;,o1h one of the following choices best describes the response of the balloon?

  16.23: At a party, tw:rbmlw1-w77 2 si pabs0gk7p eo spherical balloons are expanded to have the same radius. Balloon #1 is filled with helium gas while balloon 2b-sk7: awbg07pmep7ws1r li#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 thr lveww2cs n(/1ough a long horizontal 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 of radius R to the speed of the fluid in region with radius l1wew v/s n2(c2R?

  04.24: A fluid is forced through a pipe of changing cross a.5dn.crta14m*x uxzsection as shown. In which section would the presd a5rxn1t.a 4.*mxc uzsure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densities +um8zwnr q * 2 2icss.-ezux5fhcke **0.95D0 and D0, respectively. Each of these objects floats after being thrown into a f rce*u5 umz*+s8c2nhqzk .s *e 2w-xideep swimming pool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is connected to a light s5wt h5nk a0k5ow mh* /6rdp1bntring attached to the bottom of a large container of water. The tension in the string is 3.0 N 655pwdbn1w/*h otk nh0a5krm. 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 small solid mass hangs from it )1s5bpk cpjw+ in air. The spring scale reads 1.58N whenw1k)bjc 5p p+s 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 density floj;+zb0g. e +dahd(uqjats in a container of water with 60% of its volume submerged. If thae+.bqdg +d z;ju0(hjis 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 cyivm os1,y eaoj -*7jh,lindrically-shaped pipe. At the lower end, the pipe’s cross- sectional h,osm* j1ae, yov-7ji 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 sqjc2ia+ we(:zp-- j wntreamline 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 Regionci:-n-w jpea +q2wz(j I. What is the speed of the marked fluid when it is in Region II?

  13.25: An ideal fluid completely fill7hjfsnl5 c3yb hpw(2*s 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 the fluid’s speed and its associated p*n5lfwp7 h2 h(sy3cbjressure in the narrower region as compared to the wider region?

  10.47: An open cylindrical container with very large rah:3 5d wb; ev2bqe9seadius 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 from the container squirts out horizontally landing a distance H from the edgaq we eb5v3:deb 9s;2he 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(* uweks ye:7p,zqifks:i6w 8 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 fille.uv:tu up78z . ajzbw7d 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 f dwitj5llf -h82k5k; mercury (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.