A 2 cm diameter spherical fishing lure is cast into a pond and, though it submerges, it does not sink to the bottom but “floats” wherever it is placed (this is called neutral buoyancy). How many grams is this lure?

In an Archimides experiment, a group of students managed to take the following data on the mass of various aluminum cylinders in air, water, and alcohol. With the following data, answer the following table: Cylinder (Al) Length (cm) Diameter Air Water (gr) Alcohol (gr) (cm) (gr) 1.3 1.88 9.82 6.36 6.83 2 2.63 1.87 19.68 12.59 13.47 3.83 1.87 28.98 18.43 19.73 5.09 1.88 38.47 24.4 26.15 5 7.83 1.92 64.28 41.99 43.27 Cylinder (Al) % of mistake Specific density of solid (water) Theoretical solid (water) specific density 2 3 Cylinder (Al) Specific density of solid (alcohol) Theoretical solid % of mistake (alcohol) specific density 2 3 4

A vertical, frictionless piston-cylinder device contains a gas at 600 kPa absolute. The atmospheric pressure outside is 100 kPa absolute. The piston has a diameter of 50 mm. a) Determine the mass of the piston. b) If the mass of the piston is now halved ---- what would be the gauge pressure of the gas?

Bacteria have a density that is about the same as water. Their average velocity is 10^-3 m/s. A bacterium with a radius of 1 um should have a diffusion coefficient of about 2.2x10^-13 m^2/s. (a) Find the random-walk step size (b) How long does it take for an average walk to reach 1 mm in seconds and days? Note that we are considering the diffusion away from the starting point and are calculating the distance through three dimensions. Show your work

An aquatic organism needs to be neutrally buoyant to stay at a constant depth. Fish accomplish this with an internal swim bladder they can fill with air that they take in from the water through their gills. One complication is that the pressure in the swim bladder matches that of the surrounding water, but the water pressure changes with depth. Because the volume of a gas is inversely proportional to pressure (as you may already know if you have studied the ideal-gas law), the volume of air in a fish's swim bladder decreases with depth unless the fish actively adds more air. ▼ Part A Consider a 3.9 kg freshwater fish whose tissues have an average density of 1050 kg/m³. To what volume in mL must the swim bladder be inflated for the fish to be neutrally buoyant at the surface? Express your answer in milliliters to two significant figures. AV = Submit VD] ΑΣΦ Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining ? mL

A 0.527 kg metal cylinder is placed inside the top of a plastic tube, the lower end of which is sealed off by an adjustable plunger. The cylinder comes to rest some distance above the plunger. The plastic tube has an inner radius of 6.56 mm and is frictionless. Neither the plunger nor the metal cylinder allow any air to flow around them. If the plunger is suddenly pushed upwards, increasing the pressure between the plunger and the metal cylinder by a factor of 1.35, what is the initial acceleration ? of the metal cylinder? Assume the pressure outside of the tube is 1.00 atmand that the top of the tube is open to the air.

Balloon angioplasty is a technique to restore blood flow through coronary arteries that have been narrowed by the build-up of plaque. The surgeon threads a catheter into the coronary artery, then inflates a balloon that compresses the plaque against the wall of the artery. Suppose a diseased coronary artery has a diameter of 2.0 mm. To what diameter must it be expanded to increase the blood flow by a factor of 5.0 with no change in pressure?

A 0.504 kg metal cylinder is placed inside the top of a plastic tube, the lower end of which is sealed off by an adjustable plunger. The cylinder comes to rest some distance above the plunger. The plastic tube has an inner radius of 5.88 mm and is frictionless. Neither the plunger nor the metal cylinder allow any air to flow around them. If the plunger is suddenly pushed upwards, increasing the pressure between the plunger and the metal cylinder by a factor of 3.03, what is the initial acceleration a of the metal cylinder? Assume the pressure outside of the tube is 1.00 atm and that the top of the tube is open to the air.

A 0.458 kg metal cylinder is placed inside the top of a plastic tube, the lower end of which is sealed off by an adjustable plunger. The cylinder comes to rest some distance above the plunger. The plastic tube has an inner radius of 6.90 mm and is frictionless. Neither the plunger nor the metal cylinder allow any air to flow around them. If the plunger is suddenly pushed upwards, increasing the pressure between the plunger and the metal cylinder by a factor of 2.07, what is the initial acceleration a of the metal cylinder? Assume the pressure outside of the tube is 1.00 atm and that the top of the tube is open to the air. a = m/s?

Part A -  A cube of volume 3.0 ×10-3 m3 (3.0 L) is placed on a scale in air. The scale reads 267 N. What is the material?     Answers: Copper, ρ = 8.9 × 103 kg/m3   Aluminum, ρ = 2.7 × 103 kg/m3   Gold, ρ = 19 × 103 kg/m3   Lead, ρ = 11 × 103 kg/m3   Part B - An aluminum block of volume 200 × 10-6 m3 is held by a string at rest in oil as shown. ρAL = 2700 kg/m3, ρoil = 900 kg/m3, and g = 10 m/s2.  Now the same block is placed in water, still completely submerged. Water is more dense than oil. The net force on the block will  ______.       Answers: decrease   increase   stay the same   Part C -  Now the same block is placed in water, still completely submerged. Water is more dense than oil. The buoyant force on the block will  ______.       Answers: stay the same   decrease   increase   Part D -  Now the same block is placed in water, still…