94.17: A cork has weight mg and density-bln-: u2v)6kx3 xll,mjpe lbf i9.no 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 .muo)-l l:-pl 23b6xlvejni fxnkb9, in the water. Expressed in terms of the cork weight mg, the tension in the string is:

  01.20: When submerged underwater, the apparent m) cnoh/y5z)nl ox)v7 aass of one cubic centimeter of pure gold is 18.3 grams n5l xy)oo)ac /zh7v)n. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of 3)6 thrr.ayy3+ +xm7wn5oive .mb nrjwater. BobbersA and B have identical masses and densities but different shapes while bobbers B and C have identical sizes and shaperym)hyn.n3jm r.t6+vx 7io eabr+ 5w3s 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 state/qixfzrl+47 zu *.p cument of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted with small a2aoo xb 88fkc6pplied forces, is a consequencex2 88f6ooback of which principle?

  06.30: A copper block is connected to a augbg-t8r l jz20 +uyyd a50(tstring and submerged in a container of watgytu0rjgt- 85+l a2u b0 (zdayer.
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 jm;; h 5pfzzx9vap9o2 5.0 m wide. If the atmospheric pressure is x;poa5299jzzfmh;v p$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at restped wr7:-3o) yi gu8pa with 75% of the object submerged in : p3a8r eigw-7 d)yupoa 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 cube of aluminum have equal mass. The cxbwh (;*rj27pa0 zio b h3y3opu/r2vflef+ a;ubes areplaced into the same large pool of water so that each isfra 3+z;2fh i3 rux;leyppho0 b7 o*( vwaj/b2 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 Xenon yan k:cr *4pj;i l7q,1ehoc6qgas. This balloon then is released from rest two meters above the ground on Ea nqp7y,aioe 4cjr *qk61 lc;:hrth. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the s2;y9br zszqd3. pdc /zame 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 forces on the balloons is szzr/ ;23bc .9dypzdqcorrect?

  03.36: An ideal fluid f4mymm dtl,.5 qlows 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 flui5ytq4 .m mdml,d'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/pogp efb67e + cross section as shown. In which section would the pressure of the fluid be a m /pfb gpee67+oinimum?

  07.35: Two objects labeled K and L have equal mass but densitie3d,uowyne wl wlo7:6r) vcb 7.s 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 bl , w.)lred: 37 7owwcnuyv6oacting on these objects?

  08.16: A block is connected to x5o:b /vgdwf ; +pov3ja light string attached to the bottom of a large container of water. The tension in the string is 3.0 N. The gravitational force vp b/f: ojogw 3+vx;d5from the earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N when a small so+19: yn bneeig 6qmcr9lid 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 followie b+n n6gyqc:9m1ie9 rng choices best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density (.w zqaf+ cqg0floats in a container of water with .zgcqawf+0 q( 60% of its volume submerged. 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 cylindricark8-m6gsmo k1+uurzsvmuyh*oa-* . , 1 enl,ylly-shaped pipe. At the lower end, thak*u -1 nlksgsv +e umy-yu1, ooh.r8*6z ,mmre 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 marked as it moves along a horizontal streaek 6x-k2r(l9r(k,r vy ff 1ot7 n2ielamline 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 th6(r(ktfarniokl2 v-ekl re ,7 9f12 yxe 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 (w u:5e12ydzqd bb(sr narrowing cross-sectional area as seen in the figure. Which one of the following choices best describes what has happened to the fluid’z( uebqd(r:wyd 51sb 2s speed and its associated pressure in the narrower region as compared to the wider region?

  10.47: An open cylindrical cob :2e x:s numzo9xo/nse57,pfntainer with very large radius 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 distance H from the s/9f2: xumzn : bne,xep oso75edge 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 hl0j.ojs0an7 ) u1jzjcubic 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 swimmfn0t33j **sx(7sxxcso uht )hing 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 wvvh uvx r6(pqx0iz6naib2v7)r(z:+uvm4 w) gith 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.