94.17: A cork has weight mg and densi8ubcj 3gawm,k9kv.0 x ty 25% of water density. A string is tied around the cork and attached to the botmuw8 a,0b kvg3.cx9jk tom 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 mg, the tension in the string is:

  01.20: When submerged underwater, the apparent mass of one cubic centimeter of m ,w (mu4i3gwo+i5 psypure go5 m up3ys,+wmi 4ogi(wld is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all indifd3ww, g9;q; at0rbwx vidually float on top of water. BobbersA and B have identical masses and densities but different shapes while bobbers B and C;0tw9 3, fwba;xrd gqw 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 water?

  01.18: Which of the following is the best statement of lo c(4k(cbzadcq:e5j 4mje3ip/y1 z6 Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted with sma vtuvq ;8f0n7fll applied forces, is a consequence of which vut ;q 8f0fvn7principle?

  06.30: A copper block is connect gx k2ec,*v;sked to a string and submerged in a container of w;* s kxkc,g2veater.
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 22.0amcrp3/ u4ru: +nd6msn q 6l;g m long and 5.0 m wide. If the atmospheric pressure is nlc;m6u36rnqps/ :dmu+gra 4 $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object ifb 9ifmt0 7yo ;sj5crx6g35 cfloats at rest with 75% of the object submerged in a cubical tank cont9mcg3sy ;50bc x firf6j oi75taining $50.0 m^{3}$ 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 equalw;9e;ty tic (pwv-p-y mass. The cubes areplaced into the same large pool of water so that each is completely submerged and resting on the pool’sboi wc-vtp -;t p9ywy;(ettom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. This ball)r yhsjq9b)8q zw)0fo oon then is released from rest two meters above the grou)8q)9s)wobrf 0j qz hynd on Earth. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloony+ yunjt9 lo3yamq7tf0k1a 4rfa 8 ) -ul7r7ids 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 the buoyant fq yr 83o tlj0r ai7yu71+7 kld)fum4afy9n a-torces on the balloons is correct?

  03.36: An ideal fluid flows through a longp1. ,zd5 iqswq )cdsy) 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 radisp.dw1q,) izycq) s d5us 2R?

  04.24: A fluid is forced throu3:3u k.pu-mvsd/+-krlge kia9yed. dgh a pipe of changing cross section as shown. In which section would the pressure of the flu 9u+/yd:u-k3 e. ad.v pkri3 msdkleg-id be a minimum?

  07.35: Two objects labeled K ab )ldh9h1t3yk nd L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep1hhly9d3k b) t swimming pool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is connected gt :z)2-ln y rdkc1lj7to a light string attached to the bottom of a large container of wa)ly2tzd17 gl:j nckr-ter. 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’svolume?

  15.30: A spring scale reads 2.50N when a small solid zcwf zss46k+ fk,+do88 )8jd epai7en 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 c8k pkidwzse 8s+f7o) j6f,a84zdcn+ e hoices best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density f- (bz u r+6idahh(uxx/toe2;xloats in a container of water with 60% of its volume submerba -eoxr u/i (6h +d(xhtx;uz2ged. 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 ideally through a fkru wk: yxl8oe2u1/a9th6a; cylindrically-shaped pipe. At the lower end, the pipefyk9a h6 k 1wruox28t/eul:a;’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 y3uj)litv0f- 6 .yae kmarked as it moves along a horizontal streamline through a pipe, as shown in the figure. In Region I, the speed of the fluid on the streamliney lf .-itj6yeu3v0k)a 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 ce4ro0:niv p/ ohb)c y9y1eh 1bompletely fills a 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 he/yi 1by9p:4recbv)nh oo10 the narrower region as compared to the wider region?

  10.47: An open cylindrical container with very large radius is at rest a dz9x *vgann oc3 ,h5z9bistance H above the ground at the edge of a platform. A tiny hole develops at the bottom of the container and water frzxv3 zbohc5agn9,n 9*om 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 block *h1f7tdl 8y ,rw3rdg2q1b tiqis 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 2a cmtwp07+ic2rt.sk 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 wir 2liq ds0i,r9th 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.