94.17: A cork has weight mg a j*rgej:ugxr 3u,q f:y+-7 q2ym dua2/1ampqfnd 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 accompanying figure, the cork is totally immersed in the water. Expressed in terms of the cork weight mg, the tension in the s1f/y2:ug,jpqd qruq2 ryue a f:xm 7agj+*3 m-tring is:

  01.20: When submerged underwater, the apparesdm-5resk o5.z.f n9 nfz j.+kkc0yv4 nt mass of one cubic centimeter of pursn.y.nk js 4kro0 edfz.k595 -zfcmv +e gold is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all bv i:9 v;v hi.8:bcqvmindividually 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 boiq8bvv .bm:c9:hv;iv bbers 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 ii8j h69dv rk5 5ngc3kbest statement of Pascal's Law?

  05.24: The hydraulic presspn ;irxo6tq,a 0 ny)l2, which allows large masses to be lifted with small applied forces, is a consequence of whichinp;nr yo 0a 2l6xq),t principle?

  06.30: A copper block is connected to a string and submerged in a container of 7nnj d m1((ex jct6-(fl yzjg)wa7e xgcnj( m-)n1jjd l(tzy6(f ter.
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 atmospheric pressure ibo b:,u6fzjby d5221a ka8dejs f 22z6bk,:yj bjdbda8u e15 oa $1.0 × 10^{5}Pa$, 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 objec -cfwedjl6dqn 5/z)9zxn-nn3 ci iq)+ t submerged in a cubdj3n5)iqe q- l/n6zfcn+-d x)i zwc9nical tank containing $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of irouyrh 0pbk71- ij)ia,hn and a solid cube of aluminum have equal mass. The cubes areplaced into the same large1k7yrpahji) u0-i ,hb pool of water so 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 ballooszi msq9pkt/,e f9zvai/ 1d( .n is filled with pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choizt/i9kqem( s a.v, pz fd1/9sices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are exp8xzq ,ob 2,+7z wowjr7ypn6 qpanded 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,rooq8q2pn7w7bz + pw z,x6jy forces on the balloons is correct?

  03.36: An ideal fluilycl t4gi *h9cx1df(65jpd7ud flows 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 ratio of the fluid's speed in the t(l p 6l4gd x59chuy7ijcd*f1region 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 sec;o zzvi .(0,ndxxh()dvzktk 9 tion as shown. In which section would the pressure of the fluid be a mini90.), dvd;z nzzhvoki(xxkt( mum?

  07.35: Two objects labeled K and L h75* tkk (dhkflc;sjq4 ave 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 about the buoyant foqf(d ; j5*l7thck4 skkrces acting on these objects?

  08.16: A block is connected to a ligpl dkg: 0pni 3v;d0ufwz: 0 (ed*uw,,xqm1w ppht string attached to the bottom of a large container of water. The tension in the string is 3.,:egpp1( dwpifmqn,d03zlvx0 *d :;wwu0p ku0 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 hangs from it in air.knq yu ;8e, it,dld(1c The spring scale reads 1.58N when the mass at the end of the spring is completely submerged in a container of water. Whichkn ti el,(u;cd,8 qdy1 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(a- 6d(mj:jnyp;g u od density floats in a container of water with 60% of its volume submerged. If this same cube wereu;jy -njodamd(p (g:6 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 l:e:dc um9gh q/t4fnhp 7q 6*jthrough a cylindrically-shaped pipe. At the lower en9:76 jlq /tef*hhq cgunmd4p :d, the pipe’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 maror 6 ;in6fe-ww0nhv t;ked 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 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 i viw6- 0efrto;n n6w;hn Region II?

  13.25: An ideal fluid completely 3 3pj9lauv:r mfills a small horizontal tube that has a narrowing cross-sectional area as seen in the figure. Which one of the following choices best describes wh jp:93al3mvruat 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 at rest anncklt ;t9elo ,:c6)z distance H above the ground at the edge of a platfoc9t6 lk),nnot c ;le:zrm. 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 cubic bld (dvj* ls8wz,ock 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 a den..:) ehefg,ortmrlhp, 34kwtsity 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 mercury (densi p;d52zl.i mgxyl9lg4ty $13.6g/cm^{3}$) 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.