94.17: A cork has weight mg and de.p qou h,nt,c3jplwiwm; 9+ s m1v,c+nnsity 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 thep9s un;v,,wp.ow 1t3ih q +cmlj,m+nc cork weight mg, the tension in the string is:

  01.20: When submerged underwater, the apparent mass of one cubic centimeter of p jzikna )wx(k:tm9l37 ure gold is 18.3 grams. What would 9)tk:w nj(m ikazl7x 3be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. Bobbabb8,qfxt 5r6 ersA 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 t8x r6t5f, bbqahen 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 statempa(* tlaxan(a bxj);rz 7:z i3ent of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted with smw3 .v)x*z tieq5m pk);kviipma9io43rkv-p.all applied forcp.i*qt vxpz.ik4k;amvw)r3 k-o v3 p5 im)ie9es, is a consequence of which principle?

  06.30: A copper block is connected to a string and submerged in a cpwxu.: zj 5h9*he eym ;8r.rglontainer of water.*.rm u:rhehp w89. zejl5;gyx
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 longg 4qeibph(:py)7wty* and 5.0 m wide. If the atmospheric pressure is igp) :py7bye 4qt*w(h $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floaje9m *uk,s c cs3l rbs8o.ylcg(39( dats at rest with 75% of the object submerged in a cubical tank conu 3(9.ma3o(kceg ,9syllsbc* jrcd 8s taining $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron and a solid cube of aluminum have equal mass. 6g+ cd2jru3 :0w fhnmaThe cubes areplaced 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 fgn0wa ud3cr+fj26h m:orce from the water?

  12.21: A child’s balloon is filled wq4r qphns *+h1w15hapith pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the s pha41rq1+h nhqpw *5following choices best describes the response of the balloon?

  16.23: At a party, tw5 wjb((j0zre 1f hw(uso spherical 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 follow zse0 wuh( (f5jw(br1jing statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through ahtjz7lgi +yj2+ /cdd 7 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 radiusjidc jt+g7 yzd7+2l /h 2R?

  04.24: A fluid is forced through a pipe of changing cross pc 0.wb:8r8cbrn zd1pb3p8ms section as shown. In which section would the pressure of the fluid be a c38nd.p bp8 b8sp:1w zmrcr0 bminimum?

  07.35: Two objects labeled K and L have eue-zzn2t9 0hrb iqc (5qual mass but densities 0.95D0 and D0, respectively. Each of these objects floats a 5 nzzeht(-q902 uribcfter 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 bottom of a /w m;vvo ibxqka/1vc;z 6- a0nlarge container of water. The tension in the string is 3.0 N. The gravitational force from the earth on the bl abv- vxw aq0n6 cv/io/kz;1;mock is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N when a small s5g 0i b. vg9 ).1czb;amdsthgaolid 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 followhdi0)ac1. 9g.ag;zsmt 5bv gbing choices best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of undd s9xepg5a*ar9jg8 th.a, z*known material and uniform density floats in a container of water with 60% of its volume submerged. If this same cubeh85*,xgs 9gaza 9 r.a tjed*dp 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 ide1s29gtwx(tky,u; n twfo+iv6c2 8wc r ally through a cylindrically-shaped pipe. At the lower end, the pipe’s tfw t1vcc +y8gn u;i6wx2r,s(k2 wo t9cross- 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 markejl( n-w;i12fff p au8pd as it moves along a horizontal streamline through a pipe, as shown in the figure. In Region I, the speed oa(f; fpju l2pf i-wn18f 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*qvq-i m z9f1l small horizontal tube that has a narrowing cros 19q*qzf ilv-ms-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 compared to the wider region?

  10.47: An open cylindrical container with .;rafykts 0t xhq;6d:kl; b6w very large radius is at rest a distance H above the ground at the edge of aklqaw .6h d 0yrt6;:kfs;bt;x 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 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 v:dw4 8 8x1a *xszyhisblock 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 densi)owaa1z;fpd w66a2a 0:t b6ndvmx 1 okty 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 wow.4+(x vn gzmyi06 pxith 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.