94.17: A cork has weight mg and denscdj(gmyn*wm i.zy muh5ao ., t+8k8owr.wh2 + ity 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 immerod8y2zuw,m5. + (a mhr. oi c+t.wh8g*n jmykwsed in the water. Expressed in terms of the cork weight mg, the tension in the string is:

  01.20: When submerged underwater, the apparent .(nx 4pg2//0vljbthu+gcbr imass of one cubic centimeter of pure gol/4+gpbgutxl.2 n hric jb0(v /d is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individuallyi.9 pub/ uy w qhkz3/l8.iawx; 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 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 kzahwuui 3;i/.qxbl8 pw/.9ywater?

  01.18: Which of the following is the best statement of P( sviavp8h9jo 3qi g2:)iz2bdascal's Law?

  05.24: The hydraulic press, which allows large masses to . 6(enm+e, dho ,rwdflbe lifted with small applied forces, is a co+on we fdrd(,.mh6e,lnsequence of which principle?

  06.30: A copper block is connected to a string and submet;0kd g,iyl ;rrged in a container of wl;yrid0gt, k; 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 5h u/ k)2e0,q. ao5gbhz+gezby .0 m wide. If the atmospheric pressure is oz2beyk g/hq +,5).hze0uabg$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg 17j65l zvuwqppj uc46object floats at rest with 75% of the object sluu4w16 6q57p jz cjpvubmerged 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 irouw i* u5n2rvxny 44vzpn1)d,t n and a solid cube of aluminum have equal mass. The cubes arev4yd tu4un1)r ,*n2zp5xviwn placed into the same large pool of water so that each 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 witq;, i)4x48x zweju0loipj1 9 lggla5nh pure Xenon gas. This balloon then is released fxzul onq054)x489l ae lj giw ;,p1ijgrom rest two meters above the ground on Earth. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, two sph7i1wgk 1nk xd*k::+ed3 tppd0 ox b6y*y+wcbaerical 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 statements about the buoyant forces on the balloon0bbcwt3w1dyk::k+7dxdo *gep px +61yki n*a s is correct?

  03.36: An ideal fluid flovt-b p2out2 z8ws through 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 flui2ttp-8v 2z uobd'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 section as shown. In wj tuv))o5)cv whwout5vv)))jc ich section would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densities qhi4:h bom4 . kid:1 bvv9-ezwhjvl; 20.95D0 and D0, respe:9 -i1.h 2z4wlbd4 jo:; e ihbvvhkqvmctively. 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 to the bottw;a j3 ng jr-u9bq,s6pm5w7 vkom 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 bloc u wb g9,r;pmqs5jankjv637-wk’svolume?

  15.30: A spring scale reads 2.50N when a s6uwivwlokv 6/ru n6-3rx up61mall solid mass hangs from it in air. The spring scale reads 6 xpi6ow -6uukrvv/rwn36lu11.58N 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 density floats in a contai96kz0c32dld zkzn a:oz f*gn/ner of water with 60% of its volume submerged. If this same cda zk c0/2g6*nz:9zozlkd f3n ube 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 cylin(t 5cfe6, w+k-ccrmnfdrically-shaped pipe. At the lower end, the pipe’s cross- s5k6 cfc,n ftc-em(+wrectional 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 alon7hin.t2z: *w gm)o yoyg 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 cyo2:t*w.z o iy7mn)hyglindrical, 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 f9vh hu8+;owfpills a small horizontal tube that has a narrowing cross-sectional area as seen in the figure. Which one of the follow+vop9h 8h;w fuing choices best describes what has happened to the fluid’s speed and its associated pressure in the narrower region as compared to the wider region?

  10.47: An open cylindrical con5yh pi3eju*xo*jn 78etainer 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 from the container squirts out horizontally landing a distance H from the edge of the platform. For t**jeye85 jnxuo73 hip he
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 s9zss iu0fpym) y 138orolid 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 wiqn+zsw y.p2 x3th 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 fille:bdbpbj4bug7 .hqkunul ;0,ff)lb. 5d with 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.