In the problems in this section, assume all gases are ideal. 35. A person hits a tennis ball with a mass of 0.058 kg against a wall. The average component of the ball's velocity perpendicular to the wall is 11 m/s, and the ball hits the wall every 2.1 s on average, rebounding with the opposite perpendicular velocity component. (a) What is the average force exerted on the wall? (b) If the part of the wall the person hits has an area of 3.0 m², what is the average pressure on that area? 36. A person is in a closed room (a racquetball court) with V = 453 m³ hitting a ball (m = 42.0 g) around at random without any pauses. The average kinetic energy of the ball is 2.30 J. (a) What is the average value of v²? Does it matter which direction you take to be x? (b) Applying the methods of this chapter, find the average pressure on the walls? (c) Aside from the presence of only one "molecule" in this problem, what is the main assumption in Pressure, Temperature, and RMS Speed that does not apply here?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.60P
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I need help with this problem and an explanation for the solution described below. (University Physics 1: Thermodynamics: The Kinetic Theory of Gases).

In the problems in this section, assume all gases are ideal.
35. A person hits a tennis ball with a mass of 0.058 kg against a wall. The average component of the ball's
velocity perpendicular to the wall is 11 m/s, and the ball hits the wall every 2.1 s on average, rebounding
with the opposite perpendicular velocity component. (a) What is the average force exerted on the wall? (b)
If the part of the wall the person hits has an area of 3.0 m², what is the average pressure on that area?
36. A person is in a closed room (a racquetball court) with V = 453 m³ hitting a ball (m = 42.0 g) around at
random without any pauses. The average kinetic energy of the ball is 2.30 J. (a) What is the average value
of v²? Does it matter which direction you take to be x? (b) Applying the methods of this chapter, find the
average pressure on the walls? (c) Aside from the presence of only one "molecule" in this problem, what is
the main assumption in Pressure, Temperature, and RMS Speed that does not apply here?
Transcribed Image Text:In the problems in this section, assume all gases are ideal. 35. A person hits a tennis ball with a mass of 0.058 kg against a wall. The average component of the ball's velocity perpendicular to the wall is 11 m/s, and the ball hits the wall every 2.1 s on average, rebounding with the opposite perpendicular velocity component. (a) What is the average force exerted on the wall? (b) If the part of the wall the person hits has an area of 3.0 m², what is the average pressure on that area? 36. A person is in a closed room (a racquetball court) with V = 453 m³ hitting a ball (m = 42.0 g) around at random without any pauses. The average kinetic energy of the ball is 2.30 J. (a) What is the average value of v²? Does it matter which direction you take to be x? (b) Applying the methods of this chapter, find the average pressure on the walls? (c) Aside from the presence of only one "molecule" in this problem, what is the main assumption in Pressure, Temperature, and RMS Speed that does not apply here?
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