Predicting Momentum Change in Elastic Collisions

In summary, the conversation discusses the possibility of determining the momentum of particles after a collision without directly observing their velocity. It is suggested that under certain conditions, it may be possible to estimate the velocity by approximating the contact time during the collision and considering the mass and energy. The concept of a perfectly elastic collision is also mentioned, where the momentum would remain the same in the center of mass coordinates. However, in lab coordinates, the angle of scattering would also need to be taken into account.
  • #1
kidsasd987
143
4
If we know the initial momentum of particles a and b (mass a and b, initial velocity of a and b),
is it possible knowing the momentum after the collision without observing the velocity of two particles?
(well there is two variables therefore it seems impossible but we know that generally larger mass does not change its velocity much.)We assume the collision is perfectly elastic. Thanks.
 
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  • #2
hmm I think it is possible to 'approximate' the velocity after collision. if we assume some conditions such as contact time during the collision.
 
  • #3
In the center of mass coordinate system, the particle momenta add up to 0. The main question is whether there is any energy loss.

In the case of elastic collision, in the c.m. coordinates, each particle will have the same momentum before and after. In lab coordinates, it will depend on the angle of scattering.
 
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FAQ: Predicting Momentum Change in Elastic Collisions

What is momentum and how is it related to predicting change?

Momentum is a measure of an object's motion, and it is directly related to predicting change because it takes into account both an object's mass and velocity. When predicting momentum change, we are looking at how an object's momentum will be affected by external forces.

How is momentum change predicted?

Momentum change can be predicted by using the law of conservation of momentum, which states that the total momentum in a closed system remains constant. By analyzing the initial and final momentums of the system, we can determine how external forces will affect the momentum of objects within the system.

What factors can affect momentum change?

There are several factors that can affect momentum change, including the mass and velocity of the objects involved, as well as the direction and magnitude of external forces acting on the objects. Friction and collisions can also affect momentum change.

How accurate are predictions of momentum change?

The accuracy of predictions of momentum change depends on the complexity of the system and the precision of the data used in the analysis. In simple systems with known variables, predictions can be highly accurate. However, in more complex systems with varying external forces, the accuracy of predictions may decrease.

What are some real-world applications of predicting momentum change?

Predicting momentum change has many practical applications, such as in engineering design, sports, and transportation. For example, engineers use momentum change predictions to design safer cars and buildings, while athletes use it to improve their performance in sports. Transportation industries also use momentum change predictions to design efficient vehicles and plan routes.

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