Conservation of linear momentum

In summary, two cars, 1 and 2, collide while moving towards each other and without any external forces acting on them. The conservation of linear momentum equation, m1*v1+m2*v2=(m1+m2)v12, is used for perfectly inelastic collisions where the objects stick together after the collision. This explains why the two cars have a common speed after the collision.
  • #1
jahlin
21
0

Homework Statement



Two cars 1 and 2 moving against each other collides.There are no external forces acting on them.

Homework Equations



conservation of linear momentum:
m1*v1+m2*v2 =(m1+m2)v12


The Attempt at a Solution


I have solved the problem but my question is how come they have a common speed after the collision?I don't understand this part can someone clarify it please.
 
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  • #2
The equation you wrote is the one used when the two objects stick together when they collide, so after the collision there is only one object with a mass of m1+m2. This is called a perfectly inelastic collision. You can't use that equation if the objects bounce off each other.
 
  • #3
thanks a bunch mikelepore!
 

What is the law of conservation of linear momentum?

The law of conservation of linear momentum states that in a closed system, the total momentum remains constant and is not affected by external forces. This means that the total momentum before and after an event must be the same.

How is linear momentum defined?

Linear momentum is defined as the product of an object's mass and velocity. It is a vector quantity, meaning it has both magnitude and direction. The SI unit for momentum is kg*m/s.

What is an example of conservation of linear momentum?

One example of conservation of linear momentum is when a cannon fires a cannonball. The momentum of the cannonball is equal to the momentum of the cannon in the opposite direction. Therefore, the total momentum before and after the firing is the same.

What is the difference between elastic and inelastic collisions in terms of momentum conservation?

In an elastic collision, both momentum and kinetic energy are conserved. This means that after the collision, the objects involved will have the same total momentum and total kinetic energy as before. In an inelastic collision, only momentum is conserved, but kinetic energy is not. Some kinetic energy is lost as heat or sound, resulting in a decrease in total kinetic energy after the collision.

How does the law of conservation of linear momentum apply to real-life situations?

The law of conservation of linear momentum has many real-life applications, such as in sports, transportation, and rocket propulsion. For example, the recoil of a gun after firing is due to the conservation of linear momentum. In addition, the concept of momentum conservation is used in designing efficient and safe transportation systems, such as airbags in cars.

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