94.17: A cork has weight mg and densi8ynsr aq-v b;-ty 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 terms of tb-q- 8ayrsn;v he cork weight mg, the tension in the string is:

  01.20: When submerged underwater, the apnn( j)tvfu-a* j c8)xpparent mass of one cubic centimeter of pure gold is 18.3 grams (*vj8jancxunp)f- ) t. What would be its mass in air?

  04.29: Three fishing bobbers all indivim63jt i.re .fvdually 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 idee6i3..mvrj t fntical 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 the best statement of Pascal's r*0be5fmsd8c5j t 2as Law?

  05.24: The hydraulic press, whicz,mwze5 13k- lmtp 3jih allows large masses to be lifted with small applied forces, is jw5 im ,1pt3m-l3zzeka consequence of which principle?

  06.30: A copper block is connect-8hpskrt8 2nr ed to a string and submerged in a container of water.2knt8sprr8h-
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/g e7e*(kq()y,y2 y tshfvtu i m wide. If the atmospheric pressure is *)f/y( ( ytqs2e,7tyuv ehgki $1.0\times {10}^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg m( d+:g8of+ rep obx/qobject floats at rest with 75% of the object submerged in a cubical tank containinfedo/rxgm:++pb (o8 q g $50.0m^3$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron zq*hlv/zy+ f.6e pj6hz 3d4f7eel ;naand a solid cube of aluminum have equal mass. The cubes areplaced into the same large pool of water so/ 3hhj;.z*6e6fe7pfz lnq 4evzylda+ 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 balloo0jbzb3+5w/ p5urun ob n is filled with pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choi+wb u b/u5j3poz50rbn ces best describes the response of the balloon?

  16.23: At a party, two spfn3zw +e (- jerdd k-,ua)vv-rherical 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 ber()kur,zenw +-v3jdv--d afalloons is correct?

  03.36: An ideal fluid flows through a long horizontal circular pipe./mlev( movu 2+ In one region of the pipe, it has radius R. The pipm( ov+ /u2vemle 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?

  04.24: A fluid is forced throud13byfb ,mg4bgh a pipe of changing cross section as shown. In which section would the pressure fym1g bdb3 ,4bof the fluid be a minimum?

  07.35: Two objects labeled K and L myyz9u.a 50 fthave equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about t.f9 yt5a0 yzumhe buoyant forces acting on these objects?

  08.16: A block is connected to a light string a64sel u5w0z vy35rjdm ttached to the bottom of a large container of water. The tension in the string is 3.0 N. The gravitational force from thz m4sw0 jry65 3vu5ldee earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scak.wvt8(7l npjle reads 2.50N 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 iltwv. n7( 8kjpn 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 u-a+zge j1 uzcev,r:o 2kcm04l)w ni3density floats in a container of water with 60% of its volume submerged. If this same cube were placed i,jcki eoczl -: +ena30m2z 1uguwr)v4n a container of oil with density$\rho =800kg/m^3$ , what portion of the cube’s volume would be submerged while floating?

  12.47: Water flows ideally 0 ga;02, vza5fuvwoga83bwcb through a cylindrically-shaped pipe. At the lower end, the pipe’s cr awf a2 b583vagug wobc,;v00zoss- sectional area is $30.0c{m}^2$ whereas in the upper portion, the pipe’s cross-sectional area is $10.0c{m}^2$ 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 m;hx2rwz.0g: h pco4odoves 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 Region II?:p4w.0x coh2odz ;h gr

  13.25: An ideal fluid completely fills a small horizontal tube that has a n d uf8lebg49fb m4m:+xarrowing 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 prxf 4 u9g4 dbm+ml8b:feessure in the narrower region as compared to the wider region?

  10.47: An open cylindrical container with very large radius is atkm,a b0ns) b+9/zph 8aigz*e +sxz3y r 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.s8 3bzyzrk,)gzh+ibe +*ap mn9x0/as 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 gvhsb4c; +, rtwiven as $\rho =0.750g/c{m}^3$ . 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 liquid having a density of dcx2+gj v2u08z ejza9$500kg/m^3$ . 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 w5edzfes 3qq3 *ith mercury (density $13.6g/c{m}^3$) 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$6.5c{m}^2$ while the right tube has cross-sectional area $15.0c{m}^2$. 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.