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- 2 A US Navy nuclear submarine (mass m = 10,000,000 kg) is cruising under the Arctic ice sheet at a depth of 200 m. (a) If the submarine is maintaining constant depth while cruising, what is the size of the buoyant force on it? (b) Assuming that the density of seawater is 1023 kg/m3, what is the volume of the submarine? (c) What is the water pressure at the cruising depth of the submarine (remember that the pressure increase due to the depth has to be added to the pressure at the surface, which is the atmospheric pressure PATM = 101,000 Pa)? (d) This submarine is fitted with a circular window of area A = 0.1 m2. Find the net force on this window (i.e., force from outside minus force from the inside) assuming that the air pressure inside the submarine is equal to PATM.Select the correct value of H: ( The density of liquid =990 kgim, gravity g = 9.81 mis and L= 90 cm, Pressure P1= 52.369 Kpa) Air Pt Liquid (2)A tremendous force is generated when waterfreezes into ice and expands in volume by 9.0%. Suppose a 1.000-m3cube of liquid water freezes into ice that is 1.000 m on a side by1.090 m tall. How many 68-kg students would the ice be able tolift? Determine this by calculating the amount of force on the top1.000-m2face that would be required to squeeze 1.090 m3of iceback to 1.000 m3, assuming all of the volume change occurs alongthe vertical direction
- P1.5 An artificial solar pond is a body of water with a density gradient created by adding salt to the water. Obtain an expression for the variation of pressure P with depth - assuming the density distribution to have the linear form, p(=) = p, + az, where Po is the density at the surface and a is a constant. The ambient pressure is Po. [Answer: P(z) = P, + gz(p. + az /2)]A platinum disc aboard the International Space Station has a thickness of 6 in. and a diameter of 2 ft. What is the weight (in Ib) of the disc? Assume that the simulated gravity on the Space Station, g. is 6.44 ft/s. The density of platinum is 21,450 kg/m²? (Report to the nearest whole number)* An object of unknown density is attached to a vertical spring. When it is at rest in air, the spring stretches down 10.0 cm from its original length. When you have the object fully submerged in water (pw original length. What is the density of the object? 1000 kg/m³), the spring stretches 8.0 cm from its
- : You are abducted by aliens and find yourself locked in a large room on some strangeplanet. To pass the time, you decide to do some experiments using a ball-and-chain thatyou find on the floor. You make the following estimates:mBALL 7 kg ,mCHAIN 0.5 kg, and CHAIN 2 m .(a) When you hold the free end of the chain above your head and allow the ball to swinglike a pendulum, you use your wristwatch to measure the period asT 4 s. What is theacceleration due to gravity on this planet?(b) If the ball accidentally hits a wall, how long does it take for this jolt in the chain totravel up to your hand?In Figure below all fluids are at 20 deg.C. Determine pressure at point B, if pressure at point A is 150 kPa and weight of air is neglected. Use the table below for the densities at 20 deg.C. Liquid p. kg/m Kerosene - Ammonia 608 Benzene 881 Air Carbon tetrachloride 1590 Benzene Ethanol 789 Ethylene glycol Freon 12 B 1117 40 cm 9 cm 1327 20 cm Gasoline 680 14 cm Glycerin Kerosene 1260 t8 cm 804 Mercury- Water Mercury Methanol 13,550 791 SAE 10W oil 870 SAE 10W30 oil 876 SAE 30W oil 891 SAE 50W oil 902 Water 998 Seawater (30%e) 1025A submarine is traveling at a depth of ‘95’ kilometers in the ocean, where the gagepressure is 840 Kg(f)/cm2 . The density and bulk modulus of elasticity of water at the top surface of the ocean are 1025 kg/m3 and 24000 kg(f)/cm2 respectively. Find the following:(i) What will be the density of water at the depth of 2.0 kilometers?(ii) What will be specific volume and change of volume at that depth?(iii) What is the pressure at the top surface of the submarine? How much will bechanged in pressure if submarine change direction from North to East?
- Directions: Solve the following problems completely, and make a detailed solution. Any incompletesolution arriving at such answers will never be considered. A barrel contains a 15 cm layer of oil of density 5.88 kN/m3 floating on water that is 30 cm deep. What is the gauge pressure in mmHg at the oil-water interface?A child's balloon is a sphere 0.9 ft in diameter. The balloon is filled with helium (p = 0.014 lbm/ft³). The balloon material weighs 0.007 lbf/ft² of surface area. If the child releases the balloon, how high will it rise in the standard atmosphere? (Neglect expansion of the balloon as it rises.) Z= i ftIF the weight density of soup is 134 lb/ft^3, the volume of a pea totally submerged in the soup is 0.5 H3 in volume, what is the Buoyancy force of the soup on the pea? The weight density of the pea is 27 lb/H^3. Answer to the nearest 0.1 lb.