(III) Billiard balls A and B, of equal mass, move at right

Chapter 1, Problem 44P

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QUESTION:

(III) Two billiard balls of equal mass move at right angles and meet at the origin of an  coordinate system. Ball A is moving upward along the  axis at \(2.0 \mathrm{~m} / \mathrm{s}\), and ball  is moving to the right along the  axis with speed \(3.7 \mathrm{~m} / \mathrm{s}\). After the collision, assumed elastic, ball B is moving along the positive  axis (Fig.  ). What is the final direction of ball  and what are their two speeds?

FIGURE 7-37

Problem44. (BAll A after the collision is not shown.)

Equation Transcription:

     

Text Transcription:

2.0 m/s      

3.7 m/s

Questions & Answers

QUESTION:

(III) Two billiard balls of equal mass move at right angles and meet at the origin of an  coordinate system. Ball A is moving upward along the  axis at \(2.0 \mathrm{~m} / \mathrm{s}\), and ball  is moving to the right along the  axis with speed \(3.7 \mathrm{~m} / \mathrm{s}\). After the collision, assumed elastic, ball B is moving along the positive  axis (Fig.  ). What is the final direction of ball  and what are their two speeds?

FIGURE 7-37

Problem44. (BAll A after the collision is not shown.)

Equation Transcription:

     

Text Transcription:

2.0 m/s      

3.7 m/s

ANSWER:

Whenever two bodies collide, their speed and direction of motion changes. In this problem, we have to determine speed of ball A and ball B, and the final direction of ball A after collision.

Step 1 of 5

Concept:

Law of conservation of linear momentum: When no external force acts on the system, then the final momentum of the system is equal to their initial momentum.

Law of conservation of Energy: Energy can neither be created nor be destroyed. It can only be converted from one form into other. The total amount of energy in an isolated system remains constant.

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