94.17: A cork has weight mg and density 25% of water density. A strina0aij6/co +8jwoji . ds)k.ti g is tied around the cori6o ji +.aki sdw/oc. j)08ajtk 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 string is:

  01.20: When submerged underwater, the apparent mass of one cubic centit/fgypd4q4x 7meter of pqdxtf4 g7yp4 /ure gold is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all indivsm(jm)r,tf)wi/up 2 f idually 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 densitp)t2w si ,j /(m)frumfy 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 ,wnm) k3uvv3ebest statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to 4ox;ni co14ymrw65ox be lifted with small applied foo6o5;ryx4 oi cw41nxmrces, is a consequence of which principle?

  06.30: A copper block is connected to a string and submej8dye,-3d wablobelh:u:zvr ( q+3 z.rged in a container of wat3r-(yqlew. d+o b:bz8ud 3jh:e, alvzer.
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 is (/s:xzth(lr9 8lyzl 1k jqob+ q bl( lzx19 h/lrsy(+:8jtkoz $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 75% o-gb3 y1z6askif the object submerged in a cuby6-gk1z bsia 3ical tank containing $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of irnk xj 78ajchn/4/ w4fwbsrqiq/ z)v- 8on and a solid cube of aluminum have equal mass. The cubes areplaced into the same large pool of water so that each is completely submerged and restinwn/fhqz/ bx/4 c8js n4-kjrwiv8)a7qg 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.t*q6i )z:6duznzyc j,q0uo8/ t qvyw. This balloon then is released from rest two meters above the ground on Earth. Which one of the followingyzuqz6v6) c,j/wut :tqni o8.d*0 qz y choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to haveljgbbn 40hkqn+wcl7w9u t *+w (ttn3* the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one+knl7* 9q3 h*(0nt wjb4+uttb cwlwng of the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid2g(nhto i+bp 8 flows through a long horizontal circular pipe. In one region of the pipe, it has radius R. The pipe then wide8b noghtp+2( ins 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 fo6pukj2a+ cq/rgyhy 1* rced through a pipe of changing cross section as shown. In which section would the pressure of the fluid be a /a2q+y1 gu6 cr*khjpyminimum?

  07.35: Two objects labeled K andxly, w2.ejfir w; o9nysq0nnt4xn )4/ L have 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 ab x4,nn;f)sew4n rn/q. y0wyixol9jt2 out the buoyant forces acting on these objects?

  08.16: A block is connected to a lightd96;ymm3l g;c o,dmfo string attached to the bottom of a large container of water. The tension in the string is 3.0 N. The gravitational force from the e modlmf;,yg9;3mo cd6arth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N wwwe6f9)t, g u(lrcd h2mb+*b qhen 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 completely submerged in a container of water. Which one of the following chod r+ 2q9,wtgf*e)(wbbuh6 cmlices best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform denszk lj 6z4a0ti v7 yyo),ffh8r3ity floats in a container of water with 60% of its volume submerged. If this same cube wt408,zyvzhri yl)6 k73aof jf ere 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 tqb)d2p9d r 7daw.h5dhhrough a cylindrically-shaped pipe. At the lower end, the pipe’s cross- sectional area iraw5qbdhd)h .d2pd79 s $ 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 flu97vxloca ,-c6 :cctb4wgh 1gpcjw 50 sid is marked 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 in Region II?4o w6tc px7ccw1v hjagbcl ,sgc9:50 -

  13.25: An ideal fluid completely fills a small horizontal tube that has s9oi/5nc j6uvf3;l d;ai qp n:a narrowing cross-sectional area as seen in the figure. Which one of the following choices best describes what has happened t p nva;cd:o6 jlu/qsf3i;n5 9io 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 a disyzu,fte)nsdt7 o3p :e-m 1xv*tan*:)p1 yotmf t-e s7,u 3dnxezvce 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 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 block isy( 3 3a ra)oc/9hpvymqx4t 4rn 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 zz9pv ;tpl.i 0 cdt4l4having 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 s h* upr:m*dsex)6,d ywith 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.