94.17: A cork has weight mg and density 25% of water density. A stria57r3 vjog *2 pqemld8ng is tied around the cork and attached to the bottom of a water-filled container. As shown in2857ljvea* r 3ogpq dm 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 apparendal5uaa 8;f;z t mass of one cubic centimeter of pure gold is 18.3 grams. What wo 5lza;ufa8d;auld be its mass in air?

  04.29: Three fishing bobbers all individuall9 42p :ssrhzqzy float on top of water. BobbersA and B have identical masses and densities b h zq:r4z92ssput 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 water, which bobber will displace the greatest volume of water?

  01.18: Which of the following is the best statement of Pascal't;os+ q:j1k qds Law?

  05.24: The hydraulic press, which allows large masses tot5a sbz0zqdn9-u sk/2hrj 46r be lifted with small applied for -qt rus5kj490r6ahb/sz dn2 zces, is a consequence of which principle?

  06.30: A copper block is cc/d8 0p6qjd uaqhx+5qdbwk. -1 h y.bmonnected to a string and submerged in a container of watk6d b0up /.aq.d xb qycm+jdqh8w15 h-er.
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 lafyc/mcu1wc m+ 3w57 cw wcmml/31yfca 75+u $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform ztgk1j(cwoo , .pnv v;,w:ta810.0 kg object floats at rest with 75% of the object submerged in a cubical tano ,cjov: awk .(1vt,tz;8pwgnk containing $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron q(1-v 7 (5kqy8op;bpfiv0t+wewovzx and a solid cube of aluminum have equal mass. The cubes areplaced into the same large pool of water so that each(pi-wzxvw y 5qke1vfvp8t(7 q ;o bo0+ 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 wygl3 26 jh: t.dcy h0fnir5y;filled with pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. W0 c yyrhwi2;ylg5d.6 f3 t:njhhich 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 ghh2kn )aw9 lc 1-aa)v/cy6jeradius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the following statements aboutac9ah/)vywcj-)21 nl h gaek6 the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circular pipe. gm 1a1kq9 0l15xqlclaIn 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 t1 a50q cgllxal 1m1qk9o the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross sect x)qj4ccpt .33qfiajvrc:c lm/u3 h0 (ion as shown. In which section would the pressure of uqca (l0mcxhj i33r /) 4jcc:.tvqfp3the fluid be a minimum?

  07.35: Two objects labeled K and L have equal masa1wrq5 u tik*0s but densities 0.95D0 and D0, respectively. Each of these objects floats aft tq u0i*1w5akrer being thrown into 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 attached to the 4lgf,t3 9lzrqbottom of a large container of water. The tension in the sq 4l lf3zgt,r9tring is 3.0 N. The gravitational force from the earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.5u-)n wenv(qy x4*pqu 5/ /pajk0N 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 completely submerged in a container of water. Which one of the following choi * uqpv n-u /q/pyn5(jw)aekx4ces best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform d9ym3hsr5m ;-u vu8buo ensity floats in a container of water with 60% of its volume submerged. If this same cube were placed in a com5bu9- 3m v;uu h8sryontainer 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 ide.x04/ 3dzdqvzazdo- 6+ w,vz ew4kzmfally through a cylindrically-shaped pipe. At the lower end, t.0e a6m 4kz4zxzv f qwzddw/o-,dzv 3+he 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 fluidmd d//k(3chw d is marked as it moves along a horizontal streamline through a pipe, as shownk /m3d cdh/dw( 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 smar0xapf.2 . i:2zc jegbll 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 spee p:2 2reb0x. afz.icjgd 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 dipeyt5x+x)0 ;(szbs qhstance 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 y+b ;zthse(xqp0x) s5 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 81/oya,dv b(3 uavixps9ny2 hsolid 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 apaa*u:x 9c55z sfq1uftn+)oft3p,at 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 mercury (densiiapb)4 2k)-qamno -3i mxli )rty $13.6g/cm^{3}$) 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.