EBK PHYSICS FOR SCIENTISTS AND ENGINEER
9th Edition
ISBN: 9781305804463
Author: Jewett
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Chapter 19, Problem 19.64AP
A vertical cylinder of cross-sectional area A is fitted with a tight-fitting, frictionless piston of mass m (Fig. P18.40). The piston is not restricted in its motion in any way and is supported by the gas at pressure P below it. Atmospheric pressure is P0. We wish to find the height h in Figure P18.40. (a) What analysis model is appropriate to describe the piston? (b) Write an appropriate force equation for the piston from this analysis model in terms of P, P0, m, A, and g. (c) Suppose n moles of an ideal gas are in the cylinder at a temperature of T. Substitute for P in your answer to part (b) to find the height h of the piston above the bottom of the cylinder.
Figure P18.40
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Part C
Find the height yi
from which the rock was launched.
Express your answer in meters to three significant figures.
Learning Goal:
To practice Problem-Solving Strategy 4.1 for projectile motion problems.
A rock thrown with speed 12.0 m/s and launch angle 30.0 ∘ (above the horizontal) travels a horizontal distance of d = 19.0 m before hitting the ground. From what height was the rock thrown? Use the value g = 9.800 m/s2 for the free-fall acceleration.
PROBLEM-SOLVING STRATEGY 4.1 Projectile motion problems
MODEL: Is it reasonable to ignore air resistance? If so, use the projectile motion model.
VISUALIZE: Establish a coordinate system with the x-axis horizontal and the y-axis vertical. Define symbols and identify what the problem is trying to find. For a launch at angle θ, the initial velocity components are vix=v0cosθ and viy=v0sinθ.
SOLVE: The acceleration is known: ax=0 and ay=−g. Thus, the problem becomes one of…
Phys 25
Chapter 19 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
Ch. 19 - Prob. 19.1QQCh. 19 - Consider the following pairs of materials. Which...Ch. 19 - If you are asked to make a very sensitive glass...Ch. 19 - Two spheres are made of the same metal and have...Ch. 19 - A common material for cushioning objects in...Ch. 19 - On a winter day, you turn on your furnace and the...Ch. 19 - Markings to indicate length are placed on a steel...Ch. 19 - When a certain gas under a pressure of 5.00 106...Ch. 19 - If the volume of an ideal gas is doubled while its...Ch. 19 - The pendulum of a certain pendulum clock is made...
Ch. 19 - A temperature of 162F is equivalent to what...Ch. 19 - A cylinder with a piston holds 0.50 m3 of oxygen...Ch. 19 - What would happen if the glass of a thermometer...Ch. 19 - A cylinder with a piston contains a sample of a...Ch. 19 - Two cylinders A and B at the same temperature...Ch. 19 - A rubber balloon is filled with 1 L of air at 1...Ch. 19 - The average coefficient of linear expansion of...Ch. 19 - Suppose you empty a tray of ice cubes into a bowl...Ch. 19 - A hole is drilled in a metal plate. When the metal...Ch. 19 - On a very cold day in upstate New York, the...Ch. 19 - Common thermometers are made of a mercury column...Ch. 19 - A piece of copper is dropped into a beaker of...Ch. 19 - Prob. 19.3CQCh. 19 - Some picnickers stop at a convenience store to buy...Ch. 19 - Prob. 19.5CQCh. 19 - Prob. 19.6CQCh. 19 - An automobile radiator is filled to the brim with...Ch. 19 - When the metal ring and metal sphere in Figure...Ch. 19 - Prob. 19.9CQCh. 19 - Prob. 19.10CQCh. 19 - Prob. 19.1PCh. 19 - The temperature difference between the inside and...Ch. 19 - Prob. 19.3PCh. 19 - Prob. 19.4PCh. 19 - Liquid nitrogen has a boiling point of 195.81C at...Ch. 19 - Death Valley holds the record for the highest...Ch. 19 - Prob. 19.7PCh. 19 - The concrete sections of a certain superhighway...Ch. 19 - The active element of a certain laser is made of a...Ch. 19 - Prob. 19.10PCh. 19 - A copper telephone wire has essentially no sag...Ch. 19 - A pair of eyeglass frames is made of epoxy...Ch. 19 - The Trans-Alaska pipeline is 1 300 km long,...Ch. 19 - Prob. 19.14PCh. 19 - A square hole 8.00 cm along each side is cut in a...Ch. 19 - The average coefficient of volume expansion for...Ch. 19 - At 20.0C, an aluminum ring has an inner diameter...Ch. 19 - Why is the following situation impossible? A thin...Ch. 19 - A volumetric flask made of Pyrex is calibrated at...Ch. 19 - Review. On a day that the temperature is 20.0C, a...Ch. 19 - Prob. 19.21PCh. 19 - Review. The Golden Gate Bridge in San Francisco...Ch. 19 - Prob. 19.23PCh. 19 - A sample of a solid substance has a mass m and a...Ch. 19 - An underground gasoline lank can hold 1.00 103...Ch. 19 - A rigid lank contains 1.50 moles of an ideal gas....Ch. 19 - Prob. 19.27PCh. 19 - Your father and your younger brother are...Ch. 19 - Gas is contained in an 8.00-L vessel al a...Ch. 19 - A container in the shape of a cube 10.0 cm on each...Ch. 19 - An auditorium has dimensions 10.0 m 20.0 m 30.0...Ch. 19 - The pressure gauge on a lank registers the gauge...Ch. 19 - Prob. 19.33PCh. 19 - Prob. 19.34PCh. 19 - A popular brand of cola contains 6.50 g of carbon...Ch. 19 - In state-of-the-art vacuum systems, pressures as...Ch. 19 - An automobile tire is inflated with air originally...Ch. 19 - Review. To measure how far below the ocean surface...Ch. 19 - Review. The mass of a hot-air balloon and its...Ch. 19 - A room of volume V contains air having equivalent...Ch. 19 - Review. At 25.0 in below the surface of the sea,...Ch. 19 - Prob. 19.42PCh. 19 - A cook puts 9.00 g of water in a 2.00-L pressure...Ch. 19 - The pressure gauge on a cylinder of gas registers...Ch. 19 - Prob. 19.45APCh. 19 - A steel beam being used in the construction of a...Ch. 19 - A spherical steel ball bearing has a diameter of...Ch. 19 - A bicycle tire is inflated to a gauge pressure of...Ch. 19 - In a chemical processing plant, a reaction chamber...Ch. 19 - Why is the following situation impossible? An...Ch. 19 - A mercury thermometer is constructed as shown in...Ch. 19 - A liquid with a coefficient of volume expansion ...Ch. 19 - Prob. 19.53APCh. 19 - Two metal bars are made of invar and a third bar...Ch. 19 - A student measures the length of a brass rod with...Ch. 19 - The density of gasoline is 730 kg/m3 at 0C. Its...Ch. 19 - A liquid has a density . (a) Show that the...Ch. 19 - Prob. 19.58APCh. 19 - Review. A dock with a brass pendulum has a period...Ch. 19 - A bimetallic strip of length L is made of two...Ch. 19 - The rectangular plate shown in Figure P18.37 has...Ch. 19 - The measurement of the average coefficient of...Ch. 19 - Prob. 19.63APCh. 19 - A vertical cylinder of cross-sectional area A is...Ch. 19 - Review. Consider an object with any one of the...Ch. 19 - (a) Show that the density of an ideal gas...Ch. 19 - You are watching a new bridge being built near...Ch. 19 - You are watching a new bridge being built near...Ch. 19 - Review. (a) Derive an expression for the buoyant...Ch. 19 - Prob. 19.70APCh. 19 - Starting with Equation 18.11, show that the total...Ch. 19 - Review. A steel wire and a copper wire, each of...Ch. 19 - Review. A steel guitar string with a diameter of...Ch. 19 - A cylinder is closed by a piston connected to a...Ch. 19 - Prob. 19.75CPCh. 19 - A cylinder that has a 40.0-cm radius and is 50.0...Ch. 19 - Prob. 19.77CPCh. 19 - Review. A house roof is a perfectly flat plane...Ch. 19 - A 1.00-km steel railroad rail is fastened securely...
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