94.17: A cork has weight mg and density 25% of water density. A string is upav5+ n h8e7ni*m tu(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 the string5 *u un7mv (ia8ph+nte is:

  01.20: When submerged underwater, the apparent mass of one cubic centimeter of )v*se0xdfwi) ksp. 3apure g).0ivpekxw*ds ) 3f asold is 18.3 grams. What would be its mass in air?

  04.29: Three fishing mi5 1;ub b nx4sse79ppbobbers 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 are then tied to the bobbers and all three are pulled completely beneath t 94ipuxn; b571bssepm he surface of the water, which bobber will displace the greatest volume of water?

  01.18: Which of the following is the best statement of Pascal's Lawwj/g5wv:(ta qo jr iw,,sh b,,?

  05.24: The hydraulic press, which allwt ceb: m./4dvows large masses to be lifted with small applied forces, wv/.c4etb: md is a consequence of which principle?

  06.30: A copper block iwh6 a)ts*5.)lwyryokha(; g gs connected to a string and submerged in a container of wsa w.t(g ohhka ;6w5 rgy)l)y*ater.
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 mvk idq80r4(y wide. If the atmospheric pressure is 8id4vq( kyrm0$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg objec( dv (xeuys/)c;mpn 6st floats at rest with 75% of the object submerged in a cubical tank containingeymscsn v (xd up6(/;) $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of irmw39.s0u ouox2de) b lon and a solid cube of aluminum have equal mass. The cubes areplaced into the same large pool of 3 u2wxd.0m 9 o)bsuelowater so that 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 izo7 lx/n/ij)uib new67n+w f. s filled 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 des/wjwu xi +n/ nfi)eb76zol.7n cribes the response of the balloon?

  16.23: At a party, two spherical balloons d s*vj*gv bf9(are 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 buoygfs*9(j vb dv*ant forces on the balloons is correct?

  03.36: An ideal fluid flows throughl3zf6 cyk+d i2 a long horizontal circular pipe. In one region of+ 3licf2y6zdk 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 with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross s 2sx3*p6x ,e3qp9xfv+bc xmvy ection as shown. In which section wbvv 9*cx3+e pqxmxy 3f26x,ps ould the pressure of the fluid be a minimum?

  07.35: Two objects labeled K ar9(5ljjgl 9pz nd L have equal mass but densities 0.95D0 and D0, re( g5jzrlp9 lj9spectively. Each of these 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 tou4(og2auhp8qj9f v ; gej,g-y a light string attached to the bottom of a large container ofhg-y 28gqojj euv g(,pfua4;9 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 hangs from d 7f)blt43 /sdp9l+wvu3jajlit 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 followina/wtd llp)34j3 dfb vj7 9us+lg choices best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density floats in a co7j*u7.lex2ne8f5l i5fpi x dfntainer of water with 60% of its volume submerged. If this same cube were placed in a fp exex7l5l.uf5 f8*i in2d7 jcontainer 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 cylind 3pr:,9y7lr wkai;akorically-shaped pipe. At the lower end, t ryao :97rp3,; wkikalhe 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 fluid is marqudh l5;wkfbg/.d(yawz:n ,b(ut)(o ked as it moves along a horizontal streamline through a pipe, as shown in the figure. In Regz(u bqwuhd( ,l; ./dgbn(o5w):fatykion 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 ho(e*u m8 zunohu8q4cbhs4:bn9j:gi 9 vrizontal 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 narro*4ic4o8sb(vzm8u:n:9b gjh nquu e9 h wer region as compared to the wider region?

  10.47: An open cylindrical container with very large rajb7 fteq)87- 9gwiqaldius is at rest a distance H above the ground at the edge ofqw 779qgla 8i -btef)j 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 solid cubic blockvw )i66cof:./j ms0vf;st qx u 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 density ona 2 ei47pu1/uqhfdt (f $500kg/m^{3}$ . 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 w:dq tl wstnjq3l(7u (52s5 hyyith 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.