94.17: A cork has weigznrjcd -h4 52t2pyq :yht mg and density 25% of water density. A string is tied around the cork and attached to the bottom h2y z d-rnc:tpq 4y2j5of 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 mg, the tension in the string is:

  01.20: When submerged underwater, the appar j8exs/l j.uk(ent mass of one cubic centimeter of pure gold is 18.3 grams. What would be its mass in aisk/ lxue(jj8. r?

  04.29: Three fishing bobbers al w4ul.:es/9ka(anx tv(cv+h el 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 completely beneath the surface of the water, which bobber will displace the gre axvuh :v+w tasnec.le( /k94(atest volume of water?

  01.18: Which of the following is the best statement of Pascal's Lawsza2 .(dlk8cjwj7 tr d.*rm6mzxt 6 t5?

  05.24: The hydraulic press, which allows lavmsghnyc5p: /*c ,w 4brge masses to be lifted with small applied forces, is a consequenc*wc shyv/m5gcn 4 :p,be of which principle?

  06.30: A copper block is connected to a string and submervjf 9 hl5:flbn qe2*4pged in a container of watehn4lpj*eqvf5bl 2f:9 r.
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 4w o 33styrf2pm long and 5.0 m wide. If the atmospheric pressure is 3pyf tr2s4wo3 $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats ;e4ve f5qb9 ktat rest with 75% of the object submerged in;f5ev 4kb qt9e 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 irlj0 c*1iyeoqgt4uw) ,on and a solid cube of aluminum have equal mass. The cubes areplaced into the same large pool of water so that each is completely submerged and resting on the pool’sbott4yjie *uw0)o,tlq gc1om. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled-t nruim5rlq/x10 ; bh with pure Xenon gas. This balloon then is released from rem; x/i15-bq r0rl thnust two meters above the ground on Earth. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, two sphericalop)z7u4l g2fbrjl*3k 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 t7polj4*k zfl) u32g brhe buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circular pipe. In1.:6r- fj eqmmynwuql ibh6w48 mxeij,b+)3 n one region orubh)njmq,feb yiq +n6w1xwl6 8 ej3 4i:-.mmf 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 of changing cross se1b-yi7 ogz 4s* u+ ss:tac,har/pmc r.ction as shown. In which sectoit7*m4 u .cz,gb+ys-a r s1cs:pra/hion would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densities 0.95D0 and D0o 5de s;.0inrh, respectively. Ea roed5i 0hs.;nch of these objects floats after 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 es( li218vu guattached 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 ths2l e iu(18ugve block’svolume?

  15.30: A spring scale rl,hpu*y e 9sqf7*(yq feads 2.50N when a small solid mass hangs from it in air. The sl7e(* sh,p 9yffu*q qypring 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(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density floats in a container of;4zq hvzmxn p6 5t6h+t water with 60% of its volume submerpht tz6 zv5 x+mh46q;nged. If this same cube 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 idealn33 y e ty.jyw58/tstxly through a cylindrically-shaped pipe. At the lower end, the pipe’s cross- sectional area isy5t n3jt txy3./8yew s $ 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 (wdq+8m )x jgeit 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 cylindricalmg) qjwexd( 8+, 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 ajp j 3r c,u:rm/h+iht- 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 compared+ hu/p:,-3 ij mchjrtr to the wider region?

  10.47: An open cylindrical container with very large radiu*pafgx2 *d bf1s 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 edge of the platform. Forb*pg*2f xaf 1d 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 i g -weps alozug4+6(5qs 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 havia wquk f0b.hqxm(,0(o.v +uu xng 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 k ()mlh s8ej/ p4*.plja f)dagwith 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.