94.17: A cork has weight mg and density 25% of water d8elm4fwn ;7naensity. 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 the cork weight mg7fmlna ew4; 8n, the tension in the string is:

  01.20: When submerged underwater, the apparent mass of one cubic centimeter of ptvw tup+w ;gxl*:pypo2o *-3gure gold is 18.3 grams. What would be itsvlwpp p t * *:3+y2xoo-utgwg; mass in air?

  04.29: Three fishing bobbers all individually float on toph3yagvz y5 )w( 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 thwy3agy 5h v)(zree 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 o6nss3rf x7i5xo rfjr0 yn (3f9f Pascal's Law?

  05.24: The hydraulic press, which allows dj-)t 3;w+ gkf az)xyzlarge masses to be lifted with small applied forces, is a consequence of which principle+xytk wfdz -;j za)3)g?

  06.30: A copper block is connected to a string and sub;0cj w1:cwc fjmerged in a container of watf0jccww c ;:j1er.
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.6 .l/fmxm k20g wcvwa7 If the atmospheric pressure is mxk ww./l2vm6fg0c a7 $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 k0ns o*9dp a;tmg object floats at rest with 75% of the object submerged in a cubical tank containingon;mp0* dst 9a $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron and a so6 ae 7wyt;p8dilid cube of aluminum have equal mass. The cubes arepledw 8p;y t7a6iaced 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 with pure Xenon gas. This balloonj txj,lg -tp8a 1.bo(j then is released from rest two meters above the ground on Earth. Which one of the following choices best describes the responj -tlbxjpgjtoa. 1(8,se of the balloon?

  16.23: At a party, two spherical balloons are expanded to h8*h0skd6k8ouj ypxra jt(:+cbb x y84ave the same radius. Balloon #1 is xdku8o ty8bx yj+0a 8j(: rp6c4kbhs*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 hu vj5 v.e2mr*flows through a long horizontal circular pipe. In one region of the pipe, it has radius 5vh*. urjmv2eR. 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 2R?

  04.24: A fluid is forced through a pipe of changing cross section as shr q.hm4ha*84jb+kuvrh xh(0 fown. In which section would the pressure of the *uh.f j4 h0x(8 krmhh+ravbq4 fluid be a minimum?

  07.35: Two objects labeled K and L have equal i c(-2 xll 27i-sqp5kcpbt7 hdmass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimmingxc l27k- 7ips(qphilc 5 bt-2d 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 bottom of a:emu1 fadpn41un::*ubq ck 6 ;jv fsn1 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 block;askp me j4uq::nv :n16c1 nu*fufdb1’svolume?

  15.30: A spring scale reads 2.50N when a sma9 l/pkjd93ojx5; euh hll 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 in a container of water. Which one of the following choices best represents the density of the solid mass(un9keu 9/xdho;h jjpl35it: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform densitcd7 wl3n 1-qqnvt mlts5.vw: vy+p02 wy floats in a container of water with 60% of its volume submerged. If this same cube wey5t2 qlv .:0md7+lnsq1 wwvwvnt3-cpre 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 tdxj9 r h q/6ao0r2tqhkvh:.5f he lower end, the pipe’s 0r9koh26qaq5fvj .htrh:xd/ cross- 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 marked as it moves along a horizontal3dw *te bm1 m; z*:bgx3.onsuq streamli wem 3bz1 mx bqutsn:d3;g*o*.ne 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?

  13.25: An ideal fluid completely fills a small horizontal tube that has a nar( iu 4va*tbndf)e.m,rrowing cross-sectional area as seen in the figure. Which one of the following choices best dest,r.)mnai( *b4ev udf cribes 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 container wi1;5op8pt vhd xug+ 0at+ia w7eth very large radius is at rest a distance H above the ground at the edge of a platform. A tht +u1+ aeitpd 05xg78o;a wpviny 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 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 sfe5 wp9iv aj.7mn4prwi95:gmolid 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 liquid having a denk c v; tmv:ms,c-zq ,6mn1akm*sity 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 (densxe nc)x,rl6bb7z7ym ;ity $13.6g/cm^{3}$) 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.