94.17: A cork has weight mg and density 25% of water density. A strings(ew+16slb pw is tied around the cork and attached to the bottom of a water-filled container. As shown in the accompanying figure, the cork is te s6w+s1l(pbw otally immersed in the water. Expressed in terms of the cork weight mg, the tension in the string is:

  01.20: When submergekq* a6tn6u(f*gd f y8hd underwater, the apparent mass of one cubic centimeter of p 8qfn*kadhtf*y 6u(g 6ure gold is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually8r g*v-btz:ig 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 gt*zi g8 vrb:-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 follow1.mb5 lrmrn5/yz ky7ging is the best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large massebppvgy: p/(ag h. 6hn9s to be lifted with small applied forces, is a cp6p/ g.yvnh pag9 :hb(onsequence of which principle?

  06.30: A copper block is connected to a string and submerged ingl;.. t 6zxt0jf 1i8jloni t6c a container of water. lt6iljnz;1 .c.jxif0 gt6ot 8
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 22.2qaxj dgesu8n(,b1+ f0 m long and 5.0 m wide. If the atmospheric pressure is jdbqx(, ug81ns 2fea+$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats w 2qvw 0y s.a4k*hh+zjyu omj..sc69 eat rest with 75% of the object submerg* hswk.sjq. y+ca hmz ejy 9u2vw640o.ed 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 have equal mass. Th8vcw0)x.cbit uw:.g conu4 w:e cubes areplaced 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 oxvwwuw48ct.ci:bc. n)g u 0: water?

  12.21: A child’s balloon is filled with pure Xenon gas. This balloon t3ntv b -w0qs6r u7ec9ohen is released from rest two meters above the ground on Earth. Which one of the following choices best describes the response of thec7 own9re 3 -tu0vbs6q balloon?

  16.23: At a party, two spherical balloons are expan-6wb-r epd d/ fa5j+yxded to have the same radius. Balloon #1 is f-dp5djer6abw+/-yx 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 correct?

  03.36: An ideal fluid flows through a long horizon/: wlof7fd.2 gparn o0tal circular pipe. In one region of the pipe, it has radius R. The pipe then wi.aln20 o: p7f/fogw rddens 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 forced throuf-xv9lg44en nxgd(n6(b 2j bhgh a pipe of changing cross section as shown. In which section would the pressure of4b nedx2(gj f vg9 64l-nx(nbh the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densities 0.95D0 a0yq * gcwg11srnd D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about the buoyan*cgsq1 0g1rwyt forces acting on these objects?

  08.16: A block is connected to a light string attached to the bottom rz;ckpk2ap fyfhr30/ 3jc4aul*n e; 1of a large cony kcrcn32 aazekluphpf4 j3/ ;0 *1;frtainer of water. The tension in the string 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 r,u xtky cd 45hddn7xc.*(*zbb eads 2.50N 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 choices best represents the density of the solid masdt*n4 zbu,hy d.ckd* 7x5( xcbs(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform denftkq thhs-* 2d i+kp)2sity floats in a container of water with 60% of its volume submerged. If this samtid2 sh-h2* +k)kp qtfe 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 cylindri aq1m7j;bd f+gj)d.i5yl s a.ically-shaped pipe. At the lower en bj.7l a.y1sqdfi5 a imj;+gd)d, 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 mad u8cwcx9xq -( 0-wucrrked 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 Regiwc 9-8(qxwc0cur -udxon 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 sma jvadw9j8dfyj9ab s;9:b*(xb ll horizontal tube that has a narrowing cross-sectional area as seen y 8x;fabj(9jwa jd sbvb9d9*: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 with ve*rkfup. a3wliygl g-jnj3;b n 69 lb64ry 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 edge of the platform. For 9ilj6*nj g. k n-3pfwlar3g4lyubb;6 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 is gide+yy+k o/8x ,kqw tk rh-55zpven 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 c rvv9f* sw wnt)8/.an7gc -zehaving 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;+ p;;mfdgp v7ombbw 9 8nvc.pygm:)a 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.