How Does Momentum Conservation Determine Velocities in Collisions?

In summary, the ball's initial velocity is 12.3 m/s and its mass is 3.5 kg. It collides with a 0.6 kg pin at rest and the pin flies forward with a velocity of 34.4 m/s. Using the principle of conservation of momentum, the ball's new velocity can be calculated to be 2.06 m/s.
  • #1
StotleD
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Let's say you throw a 3.5 kg lawn bowling ball forward (that is in the positive direction) at 12.3 m/s and it hits a 0.6 kg "pin" that is at rest. If the pin flies forward at 34.4 m/s, what is the ball's new velocity?
 
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  • #2
StotleD said:
Let's say you throw a 3.5 kg lawn bowling ball forward (that is in the positive direction) at 12.3 m/s and it hits a 0.6 kg "pin" that is at rest. If the pin flies forward at 34.4 m/s, what is the ball's new velocity?

Just solve the following equation:

3.5*12.3 = 3.5v + 0.6*34.4
 
  • #3
The total momentum before and after remains equal in absence of external forces , Equate the momenta before and after the event.

Initially : Ball's momentum with 'v' in positive sirection

Finally: PIN's momentum in positive direction+ Ball's mometum in negative x direction

Equate them.

BJ
 

1. What is momentum after collision?

Momentum after collision refers to the total amount of motion that an object has after a collision with another object. It is a measure of the object's mass and velocity, and is conserved in a closed system.

2. How is momentum after collision calculated?

Momentum after collision can be calculated using the formula: P = m * v, where P is momentum, m is mass, and v is velocity. It is important to note that momentum is a vector quantity, meaning it has both magnitude and direction.

3. What happens to momentum after collision?

In a closed system, momentum is conserved, meaning that it remains constant before and after a collision. This means that the total momentum of the objects involved in the collision will be the same before and after the collision, even if their individual momentums change.

4. How does mass affect momentum after collision?

The more mass an object has, the greater its momentum will be after a collision. This means that a heavier object will have more momentum than a lighter object with the same velocity.

5. How does velocity affect momentum after collision?

The faster an object is moving, the greater its momentum will be after a collision. This means that an object with a higher velocity will have more momentum than an object with a lower velocity, even if they have the same mass.

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