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 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.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

The plunger of a syringe has an internal diameter of 1.0 cm and the end of the needle has an internal diameter of 0.35 mm. A practitioner lightly squeezes the plunger, but no serum is emitted by the needle into a vein. So the practitioner gradually increases the squeezing force that she exerts on the plunger such that serum begins to be emitted from the needle into the vein. Assuming no surface tension or friction, what is the minimum squeezing force that the practitioner appli to the plunger in order that serum begins to be emitted from the needle into the vein? Take the pressure of blood in the vein to be 20 mmHg above that of atmospheric pressure. 0.70 N 1.4 N 3.3 N 1.7 N 0.21 N 0.24 N
Q17
QUESTION 2 Which of the following is an accurate statement? O A. It is possible to add a scalar quantity to a vector. O B. Even though two vectors have unequal magnitudes, it is possible that their vector sum is zero. OC. Rotating a vector about an axis passing through the tip of the vector does not change the vector. OD. The magnitude of a vector is independent of the coordinate system used. O E. The magnitude of a vector can be zero even though one of its components is not zero.
A basketball is pressurized to a gauge pressure of PG = 55 kPa when at the surface of a swimming pool. (Patm = 101 kPa). The ball is then submerged in the pool of water which has a density ρ = 1000 kg/m3. Assume the ball does not change in mass, temperature, or volume as it is submerged. Calculate the absolute pressure inside the basketball in kPa when it is at the surface. Write an equation for the pressure difference ΔP between the inside and outside of the ball when it is submerged a distance y below the surface of the water. Solve the pressure equation for the depth (in meters) at which the pressure difference between the inside and outside of the ball will become zero. At this depth the pressure inside the basketball is the same as the pressure outside the ball.
A beam of hydrogen molecules (H2) is directed toward a wall, at an angle of 68° with the normal to the wall. Each molecule in the beam has a speed of 2.9 km/s and a mass of 3.3 x 10-24 g. The beam strikes the wall over an area of 8.7 cm2, at the rate of 1023molecules per second. What is the beam's pressure on the wall?
8:10 P O В C E The air density is 1.28Kg/m³. the mass of the empty balloon is 2g. Determine the diameter of the balloon so it can float by natural buoyancy knowing that the balloon is filled by Helium of density 0.17kg/ m³ . A- 0.075m B- 0. 12m C-0.043m D- 0.212m E-0. 14m A В O E A cylindrical storage tank of diameter 4m is filled by 60m3 of water. Determine the pressure due to the water on the bottom of the tank. ( Density of water= 1000kg/m3 and g=9.8N/kg) А- Р- 11.7 КРа. II
A chamber is filled with a gas that has a pressure of 0.250 atm and ???is connected to a mercury-filled u-tube with a width of 0.01m. The left side of the tube is closed and there is a vacuum at the top of the tube. How much higher is the mercury on the left-hand side compared to the right-hand side?
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.
A simple thermometer is formed by taking a large spherical container of volume 1.13m³ and filling it with an ideal gas. Then, a U-shaped tube is attached that is very narrow so that very little fluid/gas can fit inside the tube. The tube has a small quantity of a fluid of density 1200kg/m³ placed in it. In equilibrium at room temperature - 21.9°C - the height of the fluid on both sides of the U-shaped tube are level. This is illustrated in the image below. What is the temperature of the gas in the spherical container when the left side of the fluid is 13.25cm higher than the right side of the fluid in the U-shaped tube? Atmospheric pressure is 101000Pa. °C
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
Many cultures around the world still use a simple weapon called a blowgun, a tube with a dart that fits tightly inside. A sharp breath into the end of the tube launches the dart. When exhaling forcefully, a healthy person can supply air at a gauge pressure of 6.0 kPa. What force does this pressure exert on adart in a 1.5-cm-diameter tube?
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.