94.17: A cork has weight mg and density 25% of water densexx8 j 67ff,2ofpi ,x7 *ddsbiity. A string is tied around the cork and attached to the bottom of a water-filled container.i,7f id 6es 7*jfxb fpx2o,dx8 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 mas u8,b,k )uyt3r 7, nsmkwwcso9s of one cubic centimeter of pure gold is 19),t,usk 7mky n8w uorsc3wb ,8.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all indivijjkukv u3cpt8- * i-e3t;j9cidually 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 beneatc;i383 tetk*kuj -ivpu-jjc9 h 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 Pascal'sg i8/q shgze3280eu lb Law?

  05.24: The hydraulic press, which allows large masses to be lifted with :5r3ezouxhep9 2 clp/small applied forces,el:xu2o5 r/ pezp39h c is a consequence of which principle?

  06.30: A copper block is connected to a string and submerged in a container or2d o+/r;apy of wa/ya;p 2oro+r dter.
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 atmospyj -;nyvk0j7g1ieq,o)/k u qn*b5 wrn heric pressure is jqnir1*kj o;qb yv5)ykn/ u0nw-7e g,$1.0 × 10^{5}Pa$, 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 oxnb-ek ougws 1);dkh0n9+i u4bject submerged in a cubical tank contain+dhg)nkn s0buo w -e9uxi1 ;4king $50.0 m^{3}$ 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 ei7juo0 s hm6y.qual mass. The cubes areplaced intus moj yih67.0o the same large 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 balloon is filled with pure Xee4v5)rzvz u 7enon gas. This balloon then is released from re5 7r 4)vuzveezst 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( 2r yuh7pbm0( 9tixkr spherical 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 the buoyant r (02hirp k7y u(bxtm9forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal ciqqe j.)s8vsta pn-q (rsw2 sa99(fu4ircular pipe. In one region of the pipe, it has radius R. The pip((utssa.sa v)swn9qqer4q i82 fp -9je 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 croseikpyf (nh r+31o;sxm)sw. / y .wpgl*s section as shown. In which section would the pressure of ; skyg)e3myp o+r1ilsw/h.*nwfx (.pthe fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass n5 x 5eqlkzg 83:l- g*e08hqh:iwbg fsbut 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 forces acting on these obje 8sl-blxg 5q ee5gkw03:hf zq8g:in*hcts?

  08.16: A block is connected to a light string at6 k6vjvh-;7k5lx exh9sq* bsd:5t f wltached 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 the block’svolume?s lql7:5 j;69-kvsb h hvekfd*x5t6xw

  15.30: A spring scale reads 2.50N when a small solid mass hangs f5/)o-feqalwsy/a ztbx4 .u *ct1o0nsrom it in air. The spring scale re/eu/y.1blxaf5tsaco0 twnzq- o4* )sads 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 mf7yfr114m mhs(a a1t-bf; x luniform density floats in a container of water with 60% of its volume submerged. If this same cube were placed in a container of oil with de4m17flsaxtrm 1-hb;m(f y af1nsity$ρ=800 kg/m^{3}$ , what portion of the cube’s volume would be submerged while floating?

  12.47: Water flows ideally through a cyliuf mkti34 ) ady3,w+yxndrically-shaped pipe. At the lower end, the pipe’s cross- k x43a,fum)+d3ytyw i 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 i,kd-xfd*i4 n ft 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 thef,nf4ik ddx*- marked fluid when it is in Region II?

  13.25: An ideal fluid completely fills a small horizontal tube tha ic26x hccv,z/hk-sndi ,v:4 t x6*qbrt 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 to the ncqv2 zhdh-6: xi6 /sixc,4t*,kvbrc wider region?

  10.47: An open cylindrical container with very large r)f .x,d3yy(y:hq *p nyd fq/uxadius is at rest a distance H above the ground at the edge of a platform. A tiny hole develops at the bottom of the c.d/:hyqfdyx ( xq3fu*,n)yy pontainer 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 solidhzix: :-lpt o: cubic 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 filled with a liquid having a density o d4wrse-;;uq qf $500kg/m^{3}$ . 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 fin0bh(* 1 aqy6rq0kecxlled 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.