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In a game of pool, a cue ball rolls without slipping toward the stationary eight ball with a momentum of 0.23 kg. After the two balls collide, the final momentum of the cue ball is 0.01 kg. what is the magnitude of the final momentum of the eight ball

Respuesta :

This question involves the concepts of the law of conservation of momentum.

The magnitude of the final momentum of the eight ball is "0.22 N.s".

According to the law of conservation of momentum:

[tex]P_{i1}+P_{i2}=P_{f1}+P_{f2}[/tex]

where,

[tex]P_{i1}[/tex] = initial momentum of the cue ball = 0.23 N.s

[tex]P_{i2}[/tex] = initial momentum of the eight ball = 0 N.s (since ball is initially at rest)

[tex]P_{f1}[/tex] = final momentum of the cue ball = 0.01 N.s

[tex]P_{f2}[/tex] = final momentum of the eight ball = ?

Therefore,

[tex]0.23\ N.s + 0\N.s = 0.01\ N.s+P_{f2}\\\\P_{f2} = 0.22\ N.s[/tex]

Learn more about the law of conservation of momentum here:

brainly.com/question/1113396?referrer=searchResults