94.17: A cork has weight mg and density 253./ 1g ( uazy:b:pb5yxmclinr% 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 nxylr. g1mcu a y5z:pbb (/3i: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 unswf1v.k /jul ac v7y8ej. w*8oderwater, the apparent mass of one cubic centimeter of pure gold is 18.3 grams. What would be ifjvvw*jw8 uoa..ce y lk81 s/7ts mass in air?

  04.29: Three fishing bobbuu qu648 rg3oyers 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 wey u6u84uro3gqights 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 s01,bp5gc h9 c lcl8t0j/ixzb btatement of Pascal's Law?

  05.24: The hydraulic press, which allows large mwb txo s.ue3:*pk9alhcc 39-j uy1:zeasses to be lifted with small applied forces, is a consejez 3.9ls:*p: 9cebwkua uyox1t3-c hquence of which principle?

  06.30: A copper block is connected to a string and submerged in tho3t lte8fw;gwo+7.ykq(x 0 a container of woowlt q8.3 eyft;w htg0x7k(+ater.
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 the atmospher:thtr5f 8u f rof,c.6hic pressure is ,hf :5f8 toh6r.fcru t $1.0 × 10^{5}Pa$, 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 znri7( xr*/+osgk 0x: bm) qqn+ pvaj,the object subma 0)skv7xn: rq+ n(zxop*+j ,bg/qmrierged 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 ironz2:; cs2 lktevn2t-ek and a solid cube of aluminum have equal mass. The cubes areplaced into the same large pool of water so that each is complete2vtl-cste 2 :k2zn ;ekly submerged and resting on the pool’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is fill:8 i mjo/**p6btgte/cqu79p mv r)aaled with pure Xenon gas. This balloon then is released from rest two me/ vg/p:8)um7c ba6*re* jpq o itta9lmters above the ground on Earth. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloo;brzk )zayauf(5 ua0n +lx: d(ns are expanded to have the same radius. Bkua;)5u:a+d0bxf zz(a lnr(yalloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flozwt dz lw/pgw6:3o d, o75l(qsws through a long horizontal circular pipe. In one region of the pipe, it has radius R. The pipe then widens to radius 2R. What is the ratiozdlsp,:(zd/7 t gw3qwoo5 w6l 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 section as shown. In s(dzaq v/s /tj99kc1uwhich section would the pressure of the fluid be a min1 /9k(svqcdtuas9j /z imum?

  07.35: Two objects labeled K and L have equal mass but densities 0.r2vj6xs7 xem *95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about the buoyant forcesv6*e mx7rjs 2x acting on these objects?

  08.16: A block is connected to a light stringxem1+gv isd2- attached to the bottom of a large container of water. The tension in the string is 3.0 N. The gravitatiiveg+d1x 2-s monal 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 hangs from it in air.z6ie2r5 hy ,zseltra) o7kv3 : The spring scale reads 1.58N when the mass at the end of the spring is completelzev5a)s6yrt 2roih,37k :l ze y 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-+efydqykk;tnb na0eam4z6q41 a s .6 and uniform density floats in a container of water with 60% of its volume submerged. If this same cube were placed in a container of oil wi.61aa0 f; k-am4 zbeqt+4 y6snnd keqyth density$ρ=800 kg/m^{3}$ , what portion of the cube’s volume would be submerged while floating?

  12.47: Water flows ideally:lo rs)o-phg 8 lzd.kf40s/ex through a cylindrically-shaped pipe. At the lower end, the pipe’s crosshslofkxo84g:. 0rl)s -/ dp ze- 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 kw h4h.(g88jfzmhg;m fluid is marked as it moves along a horizontal streamline through a pipe, as shown in the figure. In Region8zh .kj mhh gg4m;w8f( 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 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 sm,cz elymv.hdl9+1 ec,all horizontal tube that has a narrowing cross-sectional area as seen in te cdye.m,,9czlh+v 1l he 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 radius is a1mhf4(ye 0x(zjd n kx,t rest a distanceey14(k(mjz d xxhn0f, 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. 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 cub7xsa*yw3yc- j,3 daeuic 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 fmlvj1k 1v uv5/1m4eaft1pf70dkt q)zilled 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 filb2kc c q: c-wxb.0,zlbled 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.