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(III) A neon atom (m =20.0 u) makes a perfectly elastic

Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli

Problem 45P Chapter 7

Physics: Principles with Applications | 6th Edition

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Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli

Physics: Principles with Applications | 6th Edition

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Problem 45P

(III) A neon atom (m =20.0 u) makes a perfectly elastic collision with another atom at rest. After the impact, the neon atom travels away at a 55.6° angle from its original direction and the unknown atom travels away at a -50.0° angle. What is the mass (in u) of the unknown atom? [Hint You could use the law of sines.)

Step-by-Step Solution:

Solution 45P:

        We have to determine the mass of the unknown atom on which the neon atom is colliding, such that the collision is perfectly elastic collision.

Step 1 of 6</p>

Concept:

        Perfectly elastic collision: In a perfect elastic collision, the momentum of the system and as well as the total energy of the system remains conserved.

Law of conservation of linear momentum: According to law of conservation of linear momentum, the total momentum of the system before collision is equal to the total momentum of the system after the collision.

Law of conservation of energy: According to law of conservation of energy, the total energy of the system before collision is equal to the total energy of the system after collision.

Step 2 of 6</p>

Figure below depicts the situation before and after collision of the atoms.

In the above figure,

 Mass of the incoming neon atom

 Mass of the target atom

 Initial velocity of neon atom

 Final velocity of neon atom

 Final velocity of target atom

 Angle made by the neon atom with horizontal after collision

 Angle made by the target atom with horizontal after collision.

Step 3 of 6</p>

As no external force acts on the system, therefore the momentum of the system remains conserved. Using law of conservation of linear momentum, we can write,

        

Figure below depicts the directions of the momenta of the two atoms before and after collision, in triangle vector form.

Step 4 of 6

Chapter 7, Problem 45P is Solved
Step 5 of 6

Textbook: Physics: Principles with Applications
Edition: 6th
Author: Douglas C. Giancoli
ISBN: 9780130606204

The answer to “(III) A neon atom (m =20.0 u) makes a perfectly elastic collision with another atom at rest. After the impact, the neon atom travels away at a 55.6° angle from its original direction and the unknown atom travels away at a -50.0° angle. What is the mass (in u) of the unknown atom? [Hint You could use the law of sines.)” is broken down into a number of easy to follow steps, and 61 words. Physics: Principles with Applications was written by Sieva Kozinsky and is associated to the ISBN: 9780130606204. Since the solution to 45P from 7 chapter was answered, more than 327 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6th. The full step-by-step solution to problem: 45P from chapter: 7 was answered by Sieva Kozinsky, our top Physics solution expert on 03/03/17, 03:53PM. This full solution covers the following key subjects: atom, away, angle, unknown, Travels. This expansive textbook survival guide covers 35 chapters, and 3914 solutions.

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