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Answer:
Velocity of the 24.6 g marble is 31 cm/s.
Step-by-step explanation:
Given:
Marble 1:
Mass of the marble = 12.3 gm
Velocity of before collision
= 15.5 cm/s
Velocity of after collision
= 77.5 cm/s
Marble 2:
Mass of the marble = 24.6 gm
Velocity of before collision
= 62 cm/s
Velocity of after collision
= ?
From the law of conservation of momentum, we know that momentum before equals the momentum after :
So,
⇒
⇒
⇒ Plugging the values.
⇒
⇒
⇒
⇒ ...subtracting both sides 953.25
⇒
⇒ ...dividing both sides with 24.6
⇒
⇒ cm/s
The velocity of the 24.6 g marble after the collision is 31 cm/s and it will move opposite to of the 12.3 g marbles that is towards left.