94.17: A cork has weight mg and densiwcp f/9a.;k,kbl-xb8l aa ;d)+xbwe q ty 25% of water 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 co l-/l;x 8 b9d cab,pe);+wa.kkfwxq bark 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 apksv 3(wgabj:96jxx: z parent mass of one cubic centimeter of pure gold is 18.3 grams. Whatxb(9 36js:z:jxvgaw k would be its mass in air?

  04.29: Three fishing 0:h ar4y8sy ieewa wfgy6ubqqprb+-7p4 7-7ubobbers 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 masy r- uap7b8efq74s:upbig0 +- e wyr6hyq4w7a s and density than B. If 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 follfx*m a1now i+7owing is the best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses tg+untz .sdxzr (-vh0og dp)2.o be lifted with small applh p.z+tor-zg.x( sd2)0nd g vuied forces, is a consequence of which principle?

  06.30: A copper block is connectt z/ ei,5y s*.+lr9oad jmk4pped to a string and submerged in a container of water4i9 ok*.rdeapt,+m5ysl jp/ z .
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 atmosphefejfj q9bceb4e /,63hal 4-ew ric pressure is 9welh-b4 q/f6je,e je cb 4fa3 $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and unifdbpd0 q+a o4t9orm 10.0 kg object floats at rest with 75% of the object submerged inb0 t4qpo a9d+d 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 solid cube of aluminum have equalq zpp.3+ws8*qt*o bgb0s4 s ad mass. The cubes areplaced into the same large pool of water so that each is zdp4gb8qs3p+.b sw*oa0* stq completely submerged and resting on the pool’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloong *w cv7d2+i23nufqqbb77r yv is 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 describes the resr2qbg *bc2vw y7u n7q+dv7f 3iponse of the balloon?

  16.23: At a party, two spherical balloons are eno mdhl8(-:cdh(tkf 3 xpanded 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 correch:fkd(c m 3th-l(8dnot?

  03.36: An ideal fluid flows through a /ow.:4 s3x dbzy/ujjmlong horizontal circular pipe. In one region of the pipe, it has radius R. The pipe then widensjzyu4b:3wd/mj.o x / s 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 u7ntu7 6et/v8moj;bgu3 k8q vpipe of changing cross section as shown. In which sectitj mk;qe 6 uubn7t7g38vu/o8v on would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but dens,zthj83m ,tvs3p w*ghities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep stgs, z h h,pm*t33w8vjwimming 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 la366kog h.h iv91w* snyxxwwi+rge container of water. The tension in the string is 3.0 N. The g3h. n yiv9*xo+ gksww6wh 61xiravitational force from the earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N whe;*1/v(egy f kj1wzqf in 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 followi1j1/ fqwz(f*;eikgyvng choices best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unk6w7 +fvxtbgz qkr)00known material and uniform density floats in a container of water wik7w fz6rkxtq0v+b0g ) th 60% 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 a2mt xamg6v40om56m x r ip5.othrough a cylindrically-shaped pipe. At the lower end, the pipe’s cros6i42ga0.mor 5am 6 xmtxv5omps- 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 ejgkg6;.pu7 io qowk9el4) -jfluid 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 cylindri4eo -lpuq ij9. ekw;)7gogkj6cal, 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 narroja .n-jzjwijm /2fv,; wing 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 thiz-n ;vfjmjja2.w/j , e narrower region as compared to the wider region?

  10.47: An open cylindrical container 0la xgzmq6 5d/with 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 hori xg50azlqm d/6zontally 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 block is gi4 :cr;q5+ysr:wo kwj+yzje k8b6t4 wq c1ur .lven 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 dene)r5; rlc1h0iik6u uco 2x1ymsity 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 (d.v+rmwu0)ldx ensity $13.6g/cm^{3}$) 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.