PHYSICS FOR SCI.AND ENGR W/WEBASSIGN
10th Edition
ISBN: 9781337888462
Author: SERWAY
Publisher: CENGAGE L
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Chapter 18, Problem 40AP
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 18 Solutions
PHYSICS FOR SCI.AND ENGR W/WEBASSIGN
Ch. 18.1 - Prob. 18.1QQCh. 18.3 - Consider the following pairs of materials. Which...Ch. 18.4 - If you are asked to make a very sensitive glass...Ch. 18.4 - Two spheres are made of the same metal and have...Ch. 18.5 - A common material for cushioning objects in...Ch. 18.5 - On a winter day, you turn on your furnace and the...Ch. 18 - Prob. 1PCh. 18 - Prob. 2PCh. 18 - Prob. 3PCh. 18 - Liquid nitrogen has a boiling point of 195.81C at...
Ch. 18 - Death Valley holds the record for the highest...Ch. 18 - Prob. 6PCh. 18 - A copper telephone wire has essentially no sag...Ch. 18 - A pair of eyeglass frames is made of epoxy...Ch. 18 - The Trans-Alaska pipeline is 1 300 km long,...Ch. 18 - A square hole 8.00 cm along each side is cut in a...Ch. 18 - You are watching a new bridge being built near...Ch. 18 - You are watching a new bridge being built near...Ch. 18 - At 20.0C, an aluminum ring has an inner diameter...Ch. 18 - Why is the following situation impossible? A thin...Ch. 18 - A volumetric flask made of Pyrex is calibrated at...Ch. 18 - Review. On a day that the temperature is 20.0C, a...Ch. 18 - Review. The Golden Gate Bridge in San Francisco...Ch. 18 - Your father and your younger brother are...Ch. 18 - An auditorium has dimensions 10.0 m 20.0 m 30.0...Ch. 18 - A container in the shape of a cube 10.0 cm on each...Ch. 18 - Prob. 21PCh. 18 - Prob. 22PCh. 18 - In state-of-the-art vacuum systems, pressures as...Ch. 18 - You have scored a great internship with NASA,...Ch. 18 - Review. The mass of a hot-air balloon and its...Ch. 18 - A room of volume V contains air having equivalent...Ch. 18 - Prob. 27PCh. 18 - You are applying for a position with a sea rescue...Ch. 18 - The pressure gauge on a cylinder of gas registers...Ch. 18 - A steel beam being used in the construction of a...Ch. 18 - Two metal bars are made of invar and a third bar...Ch. 18 - Why is the following situation impossible? An...Ch. 18 - A student measures the length of a brass rod with...Ch. 18 - The density of gasoline is 730 kg/m3 at 0C. Its...Ch. 18 - A liquid has a density . (a) Show that the...Ch. 18 - Prob. 36APCh. 18 - The rectangular plate shown in Figure P18.37 has...Ch. 18 - A bimetallic strip of length L is made of two...Ch. 18 - Prob. 39APCh. 18 - A vertical cylinder of cross-sectional area A is...Ch. 18 - Review. Consider an object with any one of the...Ch. 18 - Prob. 42APCh. 18 - Starting with Equation 18.11, show that the total...Ch. 18 - Review. A house roof is a perfectly flat plane...Ch. 18 - A 1.00-km steel railroad rail is fastened securely...Ch. 18 - Prob. 46CP
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