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.