94.17: A cork has weight mg and density 25% of water density. A /2hw/4cr pkc2dcqsd*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 terms of the w4hc dcdcs /q/rkp22*cork weight mg, the tension in the string is:

  01.20: When submerged underwater, the apparent mass of one cubic ce-h wwgy4)2ppk orpi1 /3 q7gmxntimeter of pure gold is 18.3 grams. What would be its mass in air/g wxyp)q2h3pw17i rp-kgmo4 ?

  04.29: Three fishing bobbers all individually float on top of water. B* dn0o/uh.g moe84sdmobbersA 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 all8 m4edhnu /0.odgom* s three are pulled completely beneath the surface of the water, which bobber will displace the greatest volume of water?

  01.18: Which of the 7d rsv )kcy+;(y:b qhvfollowing is the best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted withaurt2 w4essr 0u6e) kxo0 v2kp1eo7,e small applied forces, is a consequence of which p)s2, kuee20rp ro0e o wv 7ekasut4x16rinciple?

  06.30: A copper block is connecteqjldj7 7qs -h7d to a string and submerged in a container of wateq -js7q7 l7dhjr.
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 atmdg4+to z3 n*dduf36 aqospheric pressure is * qd o6nz 33g+duafd4t $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and unifo8ee 3gh4d-bdb rm 10.0 kg object floats at rest with 75% of the object submerged in a cubical ta 4gbe-he3d8dbnk 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. kad)vbj y)lov1 6n7y3q8h 29e mgrmr of aluminum have equal mass. The cubes areplaced into the same large pool of water so that each ih))9b 7mk3n .vamq6 oy 21rrvjg8 dleys 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 purey-byjg8n*-tycj jd3wg ; r )8s Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choices ;ytgg bj) 8s 8yr-dcw3y*j-njbest describes the response of the balloon?

  16.23: At a party, two sphejrn oq2slg,*; qh+l+e -1x0dilm/mkb:xw k2lrical balloons are expanded to have the same radius. Balloon #1 is1r+n k-dxi*ll:+ h/w2j2lsom ,q;0egx kq bl m 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 is correct?

  03.36: An ideal fluid flows through a long hori ;1fgl49d8-qd puk6jmz 2quagzontal 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 spjlzg g18dqu-; 2umpa4d6kf9q eed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross sejnhd+ 3y*xnbmc+/ l k9mh )d1alv29nection as shown. In which section wouhma/ jllbe2+h)+n3k*v9 1 dn xcydnm9 ld the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mh 4/equ7i mk8m*g czu-ass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is tru- ucu/z *i 78qkm4hmege about the buoyant forces acting on these objects?

  08.16: A block is connected q3,cykm1m+y sybj8b+ 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 block3y++b1 cm jbmk,8qy ys’svolume?

  15.30: A spring scale reads 2.50N when a small solid mass hangs from itu(;jm 1 sulcyhuk6262jdptj . in air. The spring scale reads 1.58N when the mass at the end of the spring is completel6 muu 2yk; 6tj.jpd1slu 2jh(cy 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 container r4 ;r 9d.u5nm/o1a)n,udroujkwist3 of water with 60% of its volume submerged. If this same cube were placed in a contai sd;o3rn/4iojw , au9.kd1urnu5tm)r 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 cylindrically-shaped pipe. At the low 3j+*gnef9zd hs ix2,rrxv+5je uh45ier end, the pipe’s cros3vxj4fj, i hz5*+n2s5idgr9rhe+x eu s- 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 mar4qdorl:k 6mk*p 6c0jd ked 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 marked fluid when it is in Reo cq64r6lp0dk: dk *mjgion II?

  13.25: An ideal fluid cul3vj+b0k /t4o4./fbg je+ kqsnf h)tompletely 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 the fluid’s speed and its associated pressure in the narrower region as comparef/ f/k+0 4.bljsu+3n4gj h)vkbqteo td to the wider region?

  10.47: An open cylindrical container with very large radiukf rm;)9q1 n s5)s.gxvdvwdqx g (v9v1s 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 edgrw k v 1v)dx;) gqs9vxn(qs1m59v.dfge 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 giq ;f4wrc pg68cmlh me/(e ;k4tven 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 c+mle;. q:jrdd +u 7kta 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 (densin cqcy 28p47gity $13.6g/cm^{3}$) 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.