94.17: A cork has weight mg an9 iheh74 rgs ijq 8husj)n,*i0d density 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 accompanyingih 9e*87ug, s0ji rhs)ji4 hnq 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 mass of one cuy 0icqpsv0(0;u/r vd v r--0 gvmiyh9sbic centimeter of pure gold is 18.3 grams. Wha0 p9dgyv0vrui-q0m ;(vcy /s- vrsih 0t would be its mass in air?

  04.29: Three fishing bobbers all individuallit y2+5kkuaj: (ipy c3y 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 greatest volume of wat:c5(it +kp3u yyjk a2ier?

  01.18: Which of the following is the best statement ofy vfz 4x .f8ulj/.8dk :f+ilfh Pascal's Law?

  05.24: The hydraulic press, which allows large masses t o p/fxa, d+ex:mez*+jo be lifted with small applied forces, is a consequence of which principlefxdope:/+je*za+mx ,?

  06.30: A copper block is connected to a string and submerged in a container osn875kok4 yucf wk8 nuy54osc 7kater.
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 thsx( m1au0 + co+taa;vne atmospheric pressure is +sa+( t o u0mvxa1nac; $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest wa5htm 2i zfhbh79 9cc*ith 75% of the object submergeca 7 9hfi9b*cm zh2h5td 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 cu3k)m y da6r l8bt6lv:vbe 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’sbottom. Which object experiences the greater buoyanla 83):kmd6ytv 6lr vbt force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. Thisvrkec 8 t-+1ncea;o)h balloon then is released from rest two meters above the ground on Earth. Which one of th1)t -e+;nhk8cae vcore following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are exparju)d1 (eq 0m)e6a7t0 xc mlthnded 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 statemq6u 7l00txt)emr(hdjea c1 )ments about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizonta6vs sc-lq)zbgg n 500ll 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 re0)llqbn-g0sg 5sv zc 6gion with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross section as )z:zg(/ 6fumnvtq 6m0w(pzj0u- /on) re tvs vshown. In which section would the pressure of the fluid be v (zjmnf0/ )tz: rptvvmu-)q n w6s(oug0/e6za minimum?

  07.35: Two objects labeled K and L have equal mass but densities 0.95D0 a2dl -87l1mq)clana gpnd D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about the buoyant forcea-72c 8lng p qladl)1ms acting on these objects?

  08.16: A block is connected to a light string atjaj: p -lgo8onvpr3k5(fvu0 (tached to the bottom of a large container of water. The tg vfj8u5o(l-0:jropn va p3k(ension in the string is 3.0 N. 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 when a small solid mass hangpx 9k*wo , vzhpg.fo0/s from it in air. The spring scale reads 1.58N when the mass at the end of the spring is completely submeg xppwf*zo, 9o0 k/.vhrged 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 9*vdi )j c nr:dz6ybq8a container of water with 60% of its volume submerged. If this same cube were placed in a containrv )8dn q* yczdbji9:6er 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 cylindrq a,-8f4bxfy aically-shaped pipe. At the lower end, the pipea4yx8a-,fqbf ’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 it moves along a ho cxipuu-* 6ha )*i1cqkrizontal 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 o*a) hu1ic-ku iqpx6c* f 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 0nh3ru m;wqinx)g8:p 6t+e mqnarrowing 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 t ;umiq36g+n8)xh0n w:empqrnarrower region as compared to the wider region?

  10.47: An open cylindrical container with very large radiusg,jdw*nx7r a0u1x ,gd (cv(grh;t +wrs l7r *u 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 distanceg v7r wl7a*0txu*1rw(r+duj,x,sgr ; (hgd nc 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 block is givg7xlwtrqnu v;p44g :9en 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 swimm kom 6dkp+f3+ding pool is filled with a liquid having 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 wpxj6tw 1c-nt(lkff 45 dlw9/with 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.