94.17: A cork has weight mg and density 25% of water density. A stringyl)2itdo 2+ do is tied around the cork and attached to the bottom of a watedt+ 2i)yoodl 2r-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 the string is:

  01.20: When submerged underwater, the apparent mas:tf ;qj;h e8nmhe8w7 w ytt08ks of one cubic centimeter of purw8k;ythe qm7 w0;t:jf 8nt 8ehe gold is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of wate*e s(8 n9j fsdav78btwr. 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 the bobbers and all three are pulled completely beneath the surftfa89w b(sje7v ds*n 8ace of the water, which bobber will displace the greatest volume of water?

  01.18: Which of the following is the best st7fl:h*ut ok8rvl (bz 1atement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted with sibn v)l4ct,3cp rg a)p7y ono:d90+cjmall applied forces, is a con,)pr4cj+ dtnip7) vlco0nag9 :ob y 3csequence of which principle?

  06.30: A copper block is connecc f:/opuctj vqd1;h a153b,us ted to a string and submerged in a container of water.j1 ;1bq5tv,poc afu/ :dh3suc
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 at iuqfe)c12daocj :*k,4 p.y xtmospheric pressure is d 1)pcqxef:ij2u,a c4o k.y*t $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 75heb27gld mv45c q1f7ivk k+zcoe 8 :q.% of the object q f78 +: emdiqkb4lovc.zhk cv25ge1 7submerged 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 bnf f6*9vig (tsolid 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 i f(bf9gt6 *vnfrom the water?

  12.21: A child’s balloon is filled with pure Xenon gas. This balli grj3(ba()znv/ (hmb oon then is released from rest two meters above the ground on Earth. Which one) b mg(/javhi( (3zbnr of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons ar 6-hbu5qs 6 iz8*0lfvje0rnqw e expanded 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 balloons is correc60hruw56n* 8 s-evqfl 0zqbjit?

  03.36: An ideal fluid flows through a long horit(y7ixvw q/ jo39z*awzontal circular pipe. 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 thew9txo *w/7 (vya 3ijzq fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross sectl-;(kcvagxtv1g o(,3u6wlh 8w zm7shion as shown. In whicgu(7ov a- c1 xh;mh8l(s6tzv3wwl, gk h section would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densities 0.95D0 and D0, +a a2y6aw v6 lynn plto299e6urespectively. Each of 96way2+ alvp2eyo66 nanlu9 tthese objects floats after being thrown into a deep swimming pool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is connected to a light string attached to the bottom of a fxiq( 62jxkhfd9igz0 rx 1jv/y1*k7m large container of water. Tjx61y(*x d092ihi/7zq1kfvgj fkx rmhe 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 it in 6urlltg7 0cnn )n5f)lair. The spring scale reads 1.58N when the mass at the end of the spring is completely submerged lc7)nnl5 n0lu)fgt6 rin 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 density floatscn 0oov lj:xa0kp r xn;)zh491 in a container of water with 60% of its volume submerged. Ivxp;a 0ocjhl1no zrn 4kx0)9 :f 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 l ,(-co) lpvxy13giqsbower end, the pipe’s cross- sectional area isx)oigv p,cys -(b 13ql $ 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 moves along a horizon 4/7dws d8sad:ob6 dyrtal 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 Region II is halb dwayord d 6s/784d:sf 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 completemm4iur(;nc+ny, kz cad ,(xc *ly fills a small horizontal tube that has a narrowing cross-sectional area as seen in the figure. Which one of the following choices best describes what has happenedc;c(mmc( y dk+r*i,n,4zx nau 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 wt+uhc2e2a 0vpde5tq49y-ew 1 ffka 2w d0n3fcith 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 squirtsf2a-eunc9c3ayf + 1pht2e 4e qddwf0 v52t0wk 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 sol:5fou,sp.rjn39nr w nid 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 swimming pool is filled with a liquid having a densityqfo67q2 9 6 xolibvcs, 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 (densfwop ctr9j v+q0q :1d*fg.d8bity $13.6g/cm^{3}$) 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.