94.17: A cork has weight mg and density 25% of water density. A string jei c/bpos5a8 m;*7acis tied around the cork and attached to the bottom of a water-filled container. As shown in the accompanying figure, the cork is totally immersed in the water. Expressejcb7;5 8s pamoi ac*e/d in terms of the cork weight mg, the tension in the string is:

  01.20: When submerged underwater, the apparent mass of one cubic c j 11(u d t2y2p;cux7;laecgwzentimeter of pure gold is 18.3 grams. What would be ;xja;pz1uy2 ud1 w 7clteg2c(its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. oo4jw i2(ji8p7-9sz/m/gxdbp uh0 jcBobbersA 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 -x s dmciojg/u9pi0 jp2jh/7 ob4(8zwthe water, which bobber will displace the greatest volume of water?

  01.18: Which of the following i)um fsovo1y /4)dr1+l*pb((mzt ikojs the best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted with small 01bz jbx vh/q:applied forces, is a:xjhbbzv 10q/ consequence of which principle?

  06.30: A copper block is connected to a string and submerged in acx(wc(6uq+l y container of water. c wy(quxcl(+ 6
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 atmosp2t7l, s62a8mc tzurgkheric pressure is c mtr,72g8ls uk62zat $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform rft:fhdc 8h/ 410.0 kg object floats at rest with 75% of the object subm4hfcdtf8/h :r erged 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 e9* h mfxwx3q+qqual mass. The cubes areplaced into the same large pool of water so that each is completely submerged and resting on the pool’sbottom. hf3q9x* qx+mwWhich object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure X11ljt s 3r4 wk2jicms4enon gas. This balloon then is released from rest tw 1ct i32swm1rks 44jjlo 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 expanded to have the sam n f+zxs.puzx03k6af)l gy4b/e radius. Balloon #1 is 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 co 6l)pzsx40 zaf 3/uk.+bfny gxrrect?

  03.36: An ideal fluid flows through ok w0 q*3ng+dzw lk6jz.6mn1qa long horizontal circular pipe. In one region of the pipe, it has radius R. The pipe then widens to radius 2R. What is the z .j1 6zomk+* gwn3kn60qdwql 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 through a pipe of changin35veqw x i2hwj7v8 ndfti-9 *rg cross section as shown. In which section woul3 vw7ti q rxwjvn-if25dh9*8ed the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass bt4hlx1; -; *fopxst rlut densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about the buoyant forces acting on these objectxx1*; ll ;r-h fospt4ts?

  08.16: A block is connected to a light string attai: ji7eyveef l3c3z-/ ched to the bottom of a large container of wate7: fyj3v i/ eei3lc-zer. 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 reads 2.50N when a small solid mass hangs from)84: aol8nm azpf;exk it in air. The spring scale reads 1.58N when the mass at the end of the spring is completely submerged in a container ofk)f8n az ;:oa8l4mexp 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 densg5yo t161 qhxhity floats in a container of water with 60% of its volume submerged. If this same cube wereh11h6 oxygt5q 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 idesa( vnk2+3ly tally through a cylindrically-shaped pipe. At the lower end, the pilykat 32vsn(+pe’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 marked as it monua) -lkh-ee(h - o2e)mpvua;ves along a horizontal streamline throua2- h ;onl)kum(- vepea-h)e ugh 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 small horizontal0a vn .5,peuot 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 and its associated pressure in the narrower region5ea,un.0t ov p as compared to the wider region?

  10.47: An open cylindrical contai 99hyb./ jlug/gau1vsner with very large radius is at rest a distance H above the ground at the edge of a platform. A tinu/ggjs1vh u l9ba ./9yy 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 cu tp5u o1ym4- zreut6r,bic 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 liquidzs4g wp34t6 uk 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 mercury (density vh*4z97.kmtwk ri ja4$13.6g/cm^{3}$) 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.