94.17: A cork has weight mg and density 25% of,nwj-em5y -ag,u rrl) water density. A string is tied around the cork and attached to the bottom of a water-filled container. As s-nu ,wmgrl) e -5,jryahown 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 underwater, the appare+9)b ldu wpllg9 i7so1nt mass of one cubic centimeter of pure gold is 18.3 gram79 d) 1+loub9pliswg ls. What would be its mass in air?

  04.29: Three fishing bobbers all individually float kn + mt06fnfj0on 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 are then tied to kjn0mt06f f+ nthe 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.9sgd5 ( ,* awxwdeqf s4h a(1rymdbh- best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted wie4+weiu)48ocmrj ) 6aeil2fgth small applied forces, is a consequence of whic2u 8 c l4mfrw4jiiee6)go+e) ah principle?

  06.30: A copper block j8( 4ey jwz h+zucx(q b88xw+4xwq5j kis connected to a string and submerged in a container of wateb5 qhjkq8 4j wzc8xyuwx((e zw 4+8+xjr.
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 ku4 ub q xie82 8xj-p9vrx5ih;pressure is bp;ji uxik8 e892-x4 5vhu xrq$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 k(0w/asv)m /cvfrf o,z48jexkg object floats at rest with 75% of the object submerged in a cubicaeov4fwx,jvkc0s 8(/m fz) a/r l tank containing $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of /nfl;ps50dv:-gt p kriron and a solid cube of aluminum have equal mass. The 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 wate0rlp pst;5fdg n/- :vkr?

  12.21: A child’s balloon is filled with pure Xe a7f :siq w(r53xm a;knygz7)enon gas. This balloon then is released from rest two meters above the ground on Earth. Whiyz 7swkg3( mq5 n;:fr7aixea)ch 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 samkez9q t;+ rsk(e radius. Balloon #+qk9 ske( zr;t1 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 correct?

  03.36: An ideal fluid flows through a long horizontamgr6jn11 d -moy kljj7h yrj6)th3x,4l circular pipe. In one region of the pipe, it has radius R. The pipe then wi j - o4mjn)rhgm 1jx y3r6,yhlt61dk7jdens 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 through a pipe of changing cross section as shown. I li1z6pke k k+e)+a*ecb di3:pn which section would thee+p13* a)id:e e6 kpl c+izkkb pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but dojqd 469vx8thzk 5ng1dy 6l0eensities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which i d 6h0zqoelt8j46vn 95yd1gkxs true about the buoyant forces acting on these objects?

  08.16: A block is connected to a light string attached to the bottom 3sb 9 (e*;kz8t 2lisruc2mhu p/jj ;lnof a large conl k8ch9r*ije/2sm uubjt;z2(;p lns3 tainer 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 reads 2.50N when a small solid mass estzqq 1n,.0 ohangs 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 th0qz,.tqs e1 noe solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown materrs4(+z8 2qf y+g zzyncial and uniform density floats in a container of water with 60% of its volume submerged. If this same cube were placed in a cosyf+(q4ry8 z z2zn g+cntainer 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 5u k96 gskxl 7cnyf1 z2shze8(the lower end,gz2z5 n7yc ukse89 xf6( k1lhs 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 fluid0du2k knsnn9b7p( tws95o )xj is marked as it moves along a horizontal streamline through a pipe, as shown in the figure. In Region I, the speed of npo)wj90nxbs 7dnuk25t(k 9s 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 horizontal tube that has a narrowv(r9s7 skcc g3ing cross-sectional area as seen in the figure. Which one of the following cksvc src( 37g9hoices 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 wi:m7 wbf 2ycv r1q4jir2th very 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 ey4q2 rr72i mj:fv1b wcdge 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 cubic blokclbb w /- o9fs8)jc1vck 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 aer :p:- fky bqse)x133pom0w) .cownz 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 x wqi0fhq -1n;9oil ) 19ksmvomercury (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.