94.17: A cork has weight mg and density 25% of wa50x tv;l o w,a9g d(b*y(ks *gzwt+jkqter density. A string is 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. Expressed in terms of the cork weight mg, the tension in(;,0b*5ql jztykkt* dgvx9owa s w+ g( the string is:

  01.20: When submerged underwater, the apparent mass of one cubic centimeti psw(7c9gn ty 1m5qf9er of pure golicp9 nsm yg 5q1tf(7w9d is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on topnsodxl6/ 4b 3z 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/loxs n6b4zd 3 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 statemem,)rdb1 b7euad4 r6jw nt of Pascal's Law?

  05.24: The hydraulic (p :9cqv bxt3ipress, which allows large masses to be lifted with small applied forces, is a consequence of which principle?v:b9cxq (i3 pt

  06.30: A copper block is connected to a string and submerged in a containn n0y/ kscfjd.r00e9ser of water.r9sf0se n/0. yc knd0j
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 lof5y-fh qo; u;bt j;bm88 umm1qng and 5.0 m wide. If the atmospheric pressure is ;ubqfmm5 mubh1ot -j; ;yf88q $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floati n4em0w 2bzgxyfa8w u4kw 7.(s at rest with 75% of the object submerged in a cubical tank cgne4x .b8ki(u ww2 ya z7w04fmontaining $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron and a solid cube of aluminwu9oe 9t/ utg+3 zs,hku;h :mdum have equal mass. The cubes areplaced into the same large pool of water so that each is completely submerged and resting on the pool’sbott ,m u e:w+s zu9;k/otg9hu3htdom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled8z*kt v)uu7 a nes an+6cj/h2k with pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best describes the res* u6cezhj2aa)7+nk8k vns tu/ponse of the balloon?

  16.23: At a party, two spherical balloons are expa0p9nm*.c:e(e +55 uxa rlnxsul/afxlnded to have the same 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 ballooee5u(r msc0*np.a5x :xll xu9a ln/f+ns is correct?

  03.36: An ideal fluid flows through a long horizontal circular pipe. In or2/m *nl;mj srne region of the pipe, it has radius R. The pipe then widens to radius 2rs*2j; /nm rmlR. 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 through a pipe of changing cross section as shown. In w 4e th9h.karj+hich section would the pressure of the fluid bhrej k9 +ha.t4e a minimum?

  07.35: Two objects labeled Km.i4mrc,p vt : and 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 about the buoyant forces acting on these ,i.mc4p vtrm :objects?

  08.16: A block is connected to a light string attached to thelqv84/f3a0.tj4gw j cn 5 jdhx bottom of a large container of water. The tension in the string is 3.0 N. The gravitatio8 jn.4x jcwljdqv h/tf3g5 a40nal force from the earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scalei(j,s rx*ah upu; 6dg4+fz 5da reads 2.50N when a small solid mass hangs from it in air. The spring scdd,4zh + x*j5auspa;6rgf (iuale 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 mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform densbu wdrq1/ j f6i2l((oxity floats in a container of water with 60% of its volume submerged. If this same cube were placej 2lou wb ((fr6x1qi/dd 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 (cr +kk ,u .i +kq0tdo/ld0wjwa cylindrically-shaped pipe. At the lower end, the pipe’s cross- sectkuo, j +crkklw.w/dd0 0q ti(+ional 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*rhg*v1ey3 g* :bw vjs 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 y3*j b:v*gwe h grv1*sthat 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 small4 j+dh/zlr; vnxi- ;yd 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 speed and its associated pressure in the narrower r4h/ ld +d;n;i v-xrzyjegion as compared to the wider region?

  10.47: An open cylindrical container witz+ mgkcz(i.juv;mt 6( h very large radius is at rest a dis6c jmmtugzzi+. (k(v;tance 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 so.caoj9 7c2 ,cedya i)blid 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 swimmin9v7zx g1qnw;ls9s1b qg pool is filled 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 mercury - jfrbp5/bzf4w 97ydh(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.