94.17: A cork has weighs *k/vco83qp gkbv 1p*t mg and density 25% of water density. A string is tied around the cork and attachv/8g*ovkks*p1pbq c3ed 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 string is:

  01.20: When submerge7ju)9v l.vqp;ac2iwjd underwater, the apparent mass of one cubic centimeter of pure gold is 18.3pl j2vcu 9aj)v7;q.iw grams. What would be its mass in air?

  04.29: Three fishing bobbers all individuaz r5i:d;lmrkbf :er22lly 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 wz:rd: 25bre ;kmi2lrf eights 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 rf(,zuau qe6, best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large mas.9t lqsc l*t2 hd.cy1a jl7h-kses to be lifted with small applied forces, is a consequence of which prin.lc -7c. hytt hd1laq s*9jk2lciple?

  06.30: A copper block is connected to a string anyb7tge 0xlx :.d submerged in a container of wate t0xeb:lxg. 7yr.
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(wepna1d/73 e0dn prd .0 m long and 5.0 m wide. If the atmospheric pressure is pwd7pd/ r13 neae(0dn $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 7x**yjqjrk b1+ pcfmc:kbh ++:5% of the object srq mb+*k*+k:cy pb:1j hxj+fcubmerged 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 iron and a solid cube of aluminum z/ rvrpu9 h7 (0; rrlamy3c ,kc+t,jgchave equal mass. The cubes areplaced into the same large pool of water so that each is completely submerged and resting on the m9tvrhzuk +, cl;agpjrcc/ ,y3 r7r(0pool’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon i9c;4*brz vsws s filled with pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Whicrwc z*4s;sb9v h 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 same radius7l( 0ceen n7i8fbhf0b . Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which o7f0bih 7n8en (ebcl f0ne of the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a lo1lu v h4*d1aceng 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 tvhua4d* lc1e 1o the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced thr o*5obsxej kcw6i+k w51oa +:sough a pipe of changing cross section as shown. In which section would the pressure of the fluid be a is *wsa5:5jb16k+oxcweo o+k minimum?

  07.35: Two objects labeled K afkrk2lwk+ .: vnd L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown ir.lvk:2 fkw+knto a deep swimming pool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is connected to a light string atyw:n 7 0r,jzkftached 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 thr: zfn0kywj ,7e block is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.vyyzs ij*73 a050N when a small solid mass hangs from it in air. The spring scale reads 1.58N when the mass at the end of the spring is completeisy yz07j3av*ly 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 density floats in a cvg) a3 iv+u3wsontainer of water withigv3u3a +v)ws 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 ra,)yefepv48hg-jy7 q vzxfi:4b t q0y5* 2oxthrough a cylindrically-shaped pipe. At the lower end,)h240 eqb ,p5q itv*zgoxv-ey y8r7y4 xf:jfa 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 markedudtt0ig6a, 6, cq *dr;y.bocnp*uk0r 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 pi6dbuq0 yg;nrod cptc ,**6,iu .atr0kpe 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 small horizfk ,, xlrk*gb cqu9 -fb fe41ulf844v+tn,a ioontal tube that has a narrowing cross-sec keu vi-, lnk4xo94a+4f81, fblqur,fcgtf*btional 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 wider region?

  10.47: An open cylindrical container wits8r xs5, ab qpvi:aj6(6bkzk, h very large radius is at rest a distance H abo:abkij,z8, 6xp5sa rksv q6b(ve 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 cubpr1c(+ c5hnag9zn/y pic 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 filledb 1hmt yt3v*8w 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 with mercurye2 +gcjzkn arwea-w3;ib((2;xer6vi jv l ;.t (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.