   Chapter 6, Problem 48P

Chapter
Section
Textbook Problem

A billiard ball rolling across a table at 1.50 m/s makes a head- on elastic collision with an identical ball. Find the speed of each ball after the collision (a) when the second ball is initially at rest, (b) when the second ball is moving toward the first at a speed of 1.00 m/s, and (c) when the second ball is moving away from the first at a speed of 1.00 m/s.

(a)

To determine
The speed of each ball after collision when the second ball is initially at rest.

Explanation

According to the conservation of momentum,

m1v1i+m2v2i=m1v1f+m2v2f

When m1=m2 ,

v1i+v2i=v1f+v2f (I)

For an elastic collision,

v1iv2i=(v1f+v2f)

(b)

To determine
The speed of each ball after collision when the second ball is moving towards the first ball at a speed of 1.00m/s .

(c)

To determine
The speed of each ball after collision when the second ball is moving away from the first ball at a speed of 1.00m/s .

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