Which Method Best Solves for Final Velocity of Object B After Collision?

  • Thread starter Seif
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In summary, when solving for the final velocity of object B in a collision with object A, it is better to use conservation of momentum rather than conservation of energy. This is because momentum is a vector quantity that includes both speed and direction, while energy is a scalar quantity that only gives the speed. Using conservation of momentum ensures that the direction of B's final velocity is also correct, even if the objects are not moving in a straight line.
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Seif
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If you have 2 objects that collide...A & B...and you have the mass and initial velocity of both, and the final velocity of A. What would be the better way of solving for the final velocity of B? Using KEi=Kef or Pi=Pf?
 
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Since you are asked for velocity- a vector quantity, you will need to use "conservation of momentum". Energy is a "scalar" (a number) and while conservation of energy could tell you the speed of B, it can't tell you the direction.

If everything is in a straight line, it's still better to use conservation of momentum to get "left" or "right" correct.
 
  • #3


The better way of solving for the final velocity of B would depend on the specific situation and the information given. If both objects are moving in the same direction before the collision, then using the conservation of momentum equation (Pi=Pf) would be the most appropriate method. This is because the total momentum of the system (A and B combined) will remain the same before and after the collision.

On the other hand, if the objects are moving in opposite directions before the collision, then using the conservation of kinetic energy equation (KEi=Kef) would be more suitable. This is because in an elastic collision (where no energy is lost), the total kinetic energy of the system will remain the same before and after the collision.

In summary, the choice between using conservation of momentum or kinetic energy would depend on the specific scenario and the type of collision (elastic or inelastic). It is important to carefully consider the problem and choose the appropriate equation to solve for the final velocity of object B.
 

FAQ: Which Method Best Solves for Final Velocity of Object B After Collision?

What is a "2 objects that collide problem"?

A "2 objects that collide problem" is a physics problem that involves two objects with different masses and velocities colliding with each other. This type of problem is commonly used to study the principles of momentum, energy, and conservation of momentum.

What information is needed to solve a "2 objects that collide problem"?

To solve a "2 objects that collide problem", you will need to know the masses and velocities of both objects before and after the collision. Additionally, you will need to know the type of collision (elastic or inelastic) and any other relevant information, such as the coefficients of restitution or friction.

What is the difference between an elastic and inelastic collision?

In an elastic collision, both momentum and kinetic energy are conserved. This means that the total momentum and total kinetic energy of the two objects before the collision will be equal to the total momentum and total kinetic energy after the collision. In an inelastic collision, only momentum is conserved, and some kinetic energy is lost in the form of heat, sound, or deformation of the objects.

How do you calculate the final velocities of the objects after a collision?

To calculate the final velocities of the objects after a collision, you can use the equations of conservation of momentum and conservation of kinetic energy. These equations take into account the masses, initial velocities, and type of collision to determine the final velocities of the objects.

What are the real-life applications of "2 objects that collide problems"?

Understanding the principles of collisions is crucial in various fields, such as engineering, sports, and transportation. For example, engineers use collision analysis to design safer cars and buildings, and athletes use it to improve their performance in sports like football or basketball. In transportation, collision analysis is used to design safer roads and reduce the number of accidents.

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