Initial velocity (and momentum)

In summary, the momentum of a 2020kg car moving at 20.0m/s colliding and locking together with a 1400kg car at rest at a stop sign is conserved in a reference frame moving at 10.0m/s in the direction of the moving car. In this new reference frame, the initial velocity and momentum of the 1400kg car is 10.0m/s and 14000kg*m/s in the opposite direction. The initial momentum of the system is 6200kg*m/s and the final momentum is also 6200kg*m/s, showing that momentum is conserved.
  • #1
shiri
85
0
A 2020kg car moving at 20.0m/s collides and locks together with a 1400kg car at rest at a stop sign. Show that momentum is conserved in a reference frame moving at 10.0m/s in the direction of the moving car.

initial momentum

final momentum


I don't understand why that the answer for initial momentum is not 20200 kg*m/s due to a reference frame moving at 10.0m/s in the direction of the moving car. Can anyone help me out here, that will be awesome
 
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  • #2
In that new reference frame, what's the initial velocity (and momentum) of the 1400 kg car?
 
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  • #3
Doc Al said:
In that new reference frame, what's the initial velocity (and momentum) of the 1400 kg car?

was it 10.0m/s and 14000kg*m/s in the opposite direction?
 
  • #4
Exactly.
 
  • #5
then do I have to sum it together (20200+ (-14000))kg*m/s? and the answer should be 6200kg*m/s for the initial momentum?
 
  • #6
That's correct.
 
  • #7
is that mean the final momentum is also 6200kg*m/s?
 
  • #8
shiri said:
is that mean the final momentum is also 6200kg*m/s?
Sure. Momentum is conserved.
 
  • #9
thanks Doc Al
 

Related to Initial velocity (and momentum)

1. What is initial velocity?

Initial velocity, also known as initial speed, is the velocity of a moving object at the start of its motion. It is the rate at which an object changes its position in a specific direction during a specific period of time.

2. How is initial velocity calculated?

Initial velocity is calculated by dividing the change in position (displacement) by the change in time. This is also known as the average velocity formula: v = Δx/Δt. It can also be calculated by using the equation v = u + at, where u is the initial velocity, a is the acceleration, and t is the time.

3. What is the relationship between initial velocity and momentum?

Initial velocity and momentum are directly proportional to each other. This means that as the initial velocity increases, the momentum of the object also increases. Momentum is calculated by multiplying the mass of an object by its velocity, so a higher initial velocity will result in a higher momentum.

4. Why is initial velocity important in physics?

Initial velocity is important in physics because it is a fundamental concept that is used to describe the motion of objects. It is a crucial component in equations and principles such as Newton's laws of motion and the conservation of energy. Understanding initial velocity allows scientists to predict and analyze the behavior of moving objects.

5. Can initial velocity be negative?

Yes, initial velocity can be negative. This indicates that the object is moving in the opposite direction of the chosen positive direction. For example, if a car is moving towards the east with an initial velocity of 10 m/s and then turns around and moves west with an initial velocity of -10 m/s, the initial velocity in both cases is 10 m/s, but the direction is different.

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