94.17: A cork has weight mg and density 25% of water density. A string is tiew j o)r -xrha))2v+g5hnvr b8wd around the cork and attached to the bottom of a water-filled containerxrrv2aobh r)j-+gh8w5 ))w v n. 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*7b ;,dcvljgz)uj*h a underwater, the apparent mass of one cubic centimeter of pure gold is 18.3 gramsjb)*v;c hdl jag7u z,*. What would be its mass in air?

  04.29: Three fishing o3;-a 8/ftik +nw igdabobbers all individually 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 density than B. If three identical weights areaoi ;g ndwi/3f8+k-at 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 follog/ v, 0czvznw)6mee l5wing is the best statement of Pascal's Law?

  05.24: The hydraulic press,rf+ oc3+ga4jd which allows large masses to be lifted with small applied forces, is a+4dj+3 rao cfg consequence of which principle?

  06.30: A copper block is connected to a string and submerged in a contqfcbcv 9ns (xtw.3)7) e9wg qpainer of wavw )9q7)ptnbc(x wsqe9.cgf3 ter.
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+ ( jrpsg2ill/mi:m:s 5)hnib is l/52psijismn +g: r blh:m)i($1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 7cx;4 92 maxevquh0 k6x5% of the object submerged in a ;hvxa96q4ukxe cm 20x 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. The c5 2l olw9fdv.wubes areplaced into the same large pool of water so that w5wdfo. l9vl2 each 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 filled with pure Xenon gas. This balloon thesl 5hwov7t+ f p.al l.q1o7w2vn is released from rest two meters above the ground on Earth. Which one of the following choices best describes the respo2o7v15l+qht ps lo.vaw lw7f.nse of the balloon?

  16.23: At a party, two spherical balloons are expanded to i-tylzpst )8ud,6;f.qm vz3t 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 -p,v6ufitq)sz t ;.3 8ylmztdthe balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circular iv5m7,y4v o y.1:va rty7kf ampipe. In 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 to the speed of the fluid in region withv it7m r: v71avf.m,4 ayo5kyy radius 2R?

  04.24: A fluid is forced through a pipe of changing cross section as q+ud2qjf+u tr xzc 6,l 5:swl(shown. In which section would the pressuqtd ufl6+ :2cu+x5lr w(zsjq, re of the fluid be a minimum?

  07.35: Two objects labeled K and L havrx09zw0j *xvd af yu.6e 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 0 9j z.0wy*av6xudxrfacting on these objects?

  08.16: A block is connected to a light string attached to thee:01sxp uu/dw bottom of a large container 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’ u10pdues/:x wsvolume?

  15.30: A spring scale reads 2.50N when(uw)mj7; e zov 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 repru;z 7evow)mj (esents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and unin7:3q utdxx :w*vdr(iform density floats in a container of water with 60% :i(nxrdt 7qdvux*:w 3 of its volume submerged. If this same 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 cylindrically-shaped pipe. At the lowx 9::zzm f1ll/ d(;uhioch5p phi2do(er end, the pipe’s cross- sectiohplo :izm5z 2u l/phh1dx(do9cf:(i;nal 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 movx,e/pvg)rz6oi e0tb gn:pk4 +es along a horizontal streamline through a pipe, as shown in the fg4i6 rptvep0:, /+zekgnbo) xigure. 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 g8b; mz4w l.fbfills a small horizontal tube that has a narrowing cross-sectional area as seen in the figure. Which one of the following choices best describ ;m b.gblw48zfes 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 very large radius is at rest a *m 9*vuxdg ysukn8 xu6pl 38 f9laqf;(distance H above the ground at the edge of a platform. A tiny hole develops at the bottom ov3ml u* ;(fs8kqup89l xugy6nd9ax *ff 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 a7gw/9f5j tp kxx8-eul solid 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 swimm2 ua0w+ouk fj68biz 45kvm)ip ing 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 wit/ p6vkp*ww2( 5,3xkfv ,zpmwyssf+f rh 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.