Chapter 10, Problem 50P

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# In a period of 1.0 s, 5.0 × 1023 nitrogen molecules strike a wall of area 8.0 cm2. If the molecules move at 3.00 × 102 m/s and strike the wall head-on in a perfectly elastic collision, find the pressure exerted on the wall. (The mass of one N2 molecule is 4.68 × 10−26 kg.)

To determine
The pressure exerted on the wall.

Explanation

Given Info: The time interval is 1 second. Mass of one nitrogen molecule is 4.68Ã—10âˆ’26kg . Speed of the molecules is 3.00Ã—102â€‰m/s . Area (A) is 8.0â€‰cm2 . Number of molecules (N) fired is 5.0Ã—1023 .

Formula to calculate the average force is,

F=N(m[vâˆ’v']t) Â Â Â Â Â  (I)

• m is the mass of the bullet
• t Â is the time interval
• v and v' are the velocities

Formula to calculate pressure is,

P=FA Â Â Â Â Â Â  (II)

From Equations (I) and (II),

P=(NA)(m[vâˆ’v']t)

Substitute 5.0Ã—1023 for N, 4.68Ã—10âˆ’26kg for m, 8.0â€‰cm2 for A,1 s for t, 3.00Ã—102â€‰m/s for v and âˆ’3.00Ã—102â€‰m/s for v' in the above expression to get F

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