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Physics / Physics for Scientists and Engineers: A Strategic Approach with Modern Physics 3 / Chapter 9 / Problem 42P

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 3rd Edition | ISBN: 9780321740908 | Authors: Randall D. Knight

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One billiard ball is shot east at 2.00 m/s. A second,

Chapter 9, Problem 42P

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QUESTION:

Problem 42P

One billiard ball is shot east at 2.00 m/s. A second, identical billiard ball is shot west at 1.00 m/s. The balls have a glancing collision, not a head-on collision, deflecting the second ball by 90° and sending it north at 1.41 m/s. What are the speed and direction of the first ball after the collision?

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QUESTION:

Problem 42P

One billiard ball is shot east at 2.00 m/s. A second, identical billiard ball is shot west at 1.00 m/s. The balls have a glancing collision, not a head-on collision, deflecting the second ball by 90° and sending it north at 1.41 m/s. What are the speed and direction of the first ball after the collision?

ANSWER:

Step 1 of 3

Here we have to find the speed and direction of the first ball, after collision.

The first ball is moving towards east at a speed of 2 m/s.

The 2nd ball moved towards west, at a speed of 1 m/s.

After the collision, the 2nd ball got deflected by $9{0}^{\circ{}}$ at a speed of 1.41 m/s, towards north.

Diagrammatically,

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