94.17: A cork has weight mg and density 25% of water density. A string is.,chw: rpos/4 cf e9aj tied around the cork and attached to the bottom of a water-filled containws :cp/of,9e4ar .chjer. As shown in the accompanying figure, the cork is totally immersed in the water. Expressed in terms of the cork weight mg, the tension in the string is:

  01.20: When submerged underwater, the apparent m4r7 cvp3obo f q6h1o;6,yatduass of one cubic centimeter of pure gold is 18.3 grams. What wouldvhqrba ,461pdy3 6 ooo;ctf 7u be its mass in air?

  04.29: Three fishing b jw f6gfo2,/ fk zicrm3wcq.q*6 /w1fuobbers all individually 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 comple.kf1 /2q wffrw*ij6w/z 3umc,c oqfg6tely 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 Laba )9h; ngz+cej,t1 vmw?

  05.24: The hydraulic press, which allows large masses to be lift/ql+xws s2w +ywm;; qqed with small applied forces, is a wq+wqwms+ s;l2 q;xy/consequence of which principle?

  06.30: A copper block 8lso1/ fa1cp+gnmv1ysmrn03 is connected to a string and submerged in a container of watma3cn 0l11vpy 1gn o f+r8ss/mer.
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 w1m :) 2g lr2n,tvxqxuthe atmospheric pressure is mgu)qwn:x21r tvl2, x$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 75% of the objecmjibgvht 4 y6eyuy 43/mw4q)9t submerj y344 ih my/u)yg 64bemqtw9vged 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 iron and a solid cube of aluminum have eznj9is ox9nj ) 0,*h 0qxhl ,h9jbm5kbqual mass. The cubes areplaced into the same large pool of water s 0jzhn mi*jkh),0xbq9 shlj,b on995 xo 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 ball; esd90zuvr/ soon is filled with pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the followind vs/rz09eus; g choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons r)e bi+v k6wrgb3/7hzh694 ly jwf0 sqare expanded to have the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which fghrrbk3+) ql vz9/we4yb w ih0s76 j6one of the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circular pipe. Insw*vz, r z+ 7 u*afy2*3rfhrmr one region ofr z,rzw+s3mfau vr *2fyrh**7 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 radius 2R?

  04.24: A fluid is forced through a pipe oo(p3 rsp)mwexxv 9a7 2.m5yoqf changing cross section as shown. In which my97 mx xpo5q (r3wpse.aov2)section would the pressure of the fluid be a minimum?

  07.35: Two objects labe - ex l)lq)l6gbpxv4 lr6dp,)eled K and L have 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 ab, dx l-46ellrpqb))x) gel6 vpout the buoyant forces acting on these objects?

  08.16: A block is connected to a light string ay ) 29h7yglogd570lk z2lxyxem zf-0httached to the bottom of a large container of water. The tension in the string is 3.0 N 9 zgz7y fy05)x-xhoh lem27ydlk20gl. The gravitational force from the earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N wp7uy- ng lwj2l-xh8ewx8 :sjdx 7+wu8hen 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 in a w7l --w x2u8d whsgn+xulpj7:x88ejy 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 anz)-lc5zell. d d uniform density floats in a container of water with 60% of its volume submerged. If this same cube were placeld.l -z5l cez)d 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 pwokue0 ;qyavxq8 nor ,y/sg410+i,mcylindrically-shaped pipe. At the lower end, the pip,ny pwe q xvmooy08suk1q;/, a+ 0rgi4e’s 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 ;;pxkjoq xq5pj 96 evoh0o fc8.nq*nuw7:oz (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 Regi 7n ;q8zp;*o vjxne9.q o(q:o cwofxj056u phkon 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 haob.9cu2tre* p(;e8nqaio q 2is a narrowing cross-sectional a n2.o;t8irce *piaqu2e q( bo9rea 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 very large radiu4rusezqy *ea:3 9p m3gs is at rest a distance H above the ground at the edge of a platform. A tiny hq3 3 :pemgr*eay49suzole 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 im +db3px 2;rbc1mkjh ,-ruc ;solid 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 ag :mav* 3rdlhb6p2x. k7v yhw2 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 merc(7 ink/xo-2v 1xrpy hzury (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.