94.17: A cork has weight mg and density 25% of water density. A string is ti nbuo5m;**lhjrss 4wg0 qy )w7ed around the cork and attached to the bottom of a water-filled cont)s5o*usgm wnhq*;7l jwr0yb4ainer. 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, ,z 3r:cxam+bmthe apparent mass of one cubic centimeter of pure gold is 18.3 grams. What wou+c:bm3a z xm,rld be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. Boa6iug// ;nbpxmb+ r(af4d eh *bbersA 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 beneath the surface of the wat(da i*/nampf bube/6; 4x+gh rer, which bobber will displace the greatest volume of water?

  01.18: Which of the following is the best statement of Pascal; :q5mtx5yj1xk1 b ttcl9nm b9's Law?

  05.24: The hydraulic press, whi,rl*5+9yhe .mj nf scn8is c:e kwxm.;ch allows large masses to be lifted with small applie8nwjlsh5: .e9mymfs. ,ic x; re*k+c nd forces, is a consequence of which principle?

  06.30: A copper block is connected to a string az lte5wz /:s gis*s+4rnd submerged in a container of water.ezs:l 4swigt/sr+ 5z*
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 the4tp. b6 8 s(ufmczms-s atmospheric pressure is c(fms-zb8t. 4 s6spm u $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest withvi,tb 9+xz ,ot 75% of the object submerged in a cutvbxit 9,z,+o bical 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 k;36gk bzd 2hjaluminum have equal mass. The cubes areplacdgbk 3kh62z ;jed into 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 Xenon gas. This balnjjic q7 *p 3m1lu6jjksr 2b6j)(cf /yloon then is releasj 6j72bm qscyji*)pjul kjrf1c 36(/n ed from rest 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 spherical balloons are expr/n02nqmrosqg p44 k9anded to have the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of nr q ng4 qrk420po9sm/the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a lo wh;te:q c2l o7cx*5hc (myz4nng 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 radius 2R?wcqtl* e54chno;z:c m7y(x2 h

  04.24: A fluid is forced through tlk/2g :zryk,a pipe of changing cross section as shown. In which sec/z:ktgly2, r ktion would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densitie+n n 6nchtmm g-p/4l2qs 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming poolt l4n-pc/ghm2nm+6 n q. Which is true about the buoyant forces acting on these objects?

  08.16: A block is connected to a light string attachedu bplr3qd ub*er;,x3wmx:w18 to the bottom of a large container of water. The tension in the string is 3.0 N. The gravitational force fromu,:we33xx p*8b; wlq1drmbru the earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N when a small solis2qrnj5ygmz..q3c 9h. zjkrv0 ig7( ad mass hangs from it in air. The sp 2.qggarz.9jin3c .( 7rsmyhv0 qzj5kring 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 choices best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform dens/gbt0-+ q1f* k, q,mdhnrtvejity floats in a container of water wr/mtg -h*e0bf t1 nk, qv+jd,qith 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 ideal;j noejmfy/sx)4(sk;jeh(;t ly through a cylindrically-shaped pipe. At the lower end, the pipe’s cross- sectional aro(kntjfehmy/e( );j; j x;4ssea 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 2- tqi8hugehdwp0d 6 0fluid is marked as it moves along a horizontal streamline throh-d htgw80ue6 qp d02iugh 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 in Region II?

  13.25: An ideal fluid completely fills a smac*ue 5zrm*viw6 p*x j9z5 yge6ll 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 a z5xr6eyj6 wmi **59zpgc* uevnd its associated pressure in the narrower region as compared to the wider region?

  10.47: An open cylindrical conta.wdtro+ ,vz(qiner 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 frodzrw+(t o.q,vm 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 cubivaeo5:ozv1;x6 6yq;itn/ nntc 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(n6dx80gj m;d s.b nkr 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 fieaf c;*mufnpqv7c 3+(lled 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.