Two objects collide and bounce off each other. Linear momentum

In summary, for two objects colliding and bouncing off each other, linear momentum is conserved only if the collision is elastic. This means that there is no loss of kinetic energy in the collision. In other cases, such as inelastic collisions, some of the kinetic energy is converted to other forms of energy. However, momentum is still conserved in these types of collisions.
  • #1
robvba
27
0
Two objects collide and bounce off each other. Linear momentum

A. is conserved only if the environment is frictionless
B. definately not conserved
C. definately is conserved
D. is conserved only if the collusion is elastic


A perfectly elastic collision is defined as one in which there is no loss of kinetic energy in the collision. An inelastic collision is one in which part of the kinetic energy is changed to some other form of energy in the collision. Any macroscopic collision between objects will convert some of the kinetic energy into internal energy and other forms of energy, so no large scale impacts are perfectly elastic. Momentum is conserved in inelastic collisions, but one cannot track the kinetic energy through the collision since some of it is converted to other forms of energy. Collisions in ideal gases approach perfectly elastic collisions, as do scattering interactions of sub-atomic particles which are deflected by the electromagnetic force. Some large-scale interactions like the slingshot type gravitational interactions between satellites and planets are perfectly elastic.

D?
 
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  • #2
robvba said:
Two objects collide and bounce off each other. Linear momentum

A. is conserved only if the environment is frictionless
B. definately not conserved
C. definately is conserved
D. is conserved only if the collusion is elastic


A perfectly elastic collision is defined as one in which there is no loss of kinetic energy in the collision. An inelastic collision is one in which part of the kinetic energy is changed to some other form of energy in the collision. Any macroscopic collision between objects will convert some of the kinetic energy into internal energy and other forms of energy, so no large scale impacts are perfectly elastic. Momentum is conserved in inelastic collisions, but one cannot track the kinetic energy through the collision since some of it is converted to other forms of energy. Collisions in ideal gases approach perfectly elastic collisions, as do scattering interactions of sub-atomic particles which are deflected by the electromagnetic force. Some large-scale interactions like the slingshot type gravitational interactions between satellites and planets are perfectly elastic.

D?

Maybe read your material a little more closely?
 
  • #3
is the correct answer. Momentum is conserved in all collisions, but kinetic energy is only conserved in perfectly elastic collisions. Therefore, in order for linear momentum to be conserved in a collision, it must be an elastic collision. In the given scenario, where two objects collide and bounce off each other, we can assume that the collision is elastic as there is no mention of any energy being lost or converted into other forms. Therefore, linear momentum is definitely conserved in this scenario.
 

1. What is linear momentum?

Linear momentum is a physical quantity that describes the motion of an object. It is defined as the product of an object's mass and velocity.

2. How is linear momentum conserved in a collision?

In a collision between two objects, the total momentum before and after the collision remains constant. This is known as the law of conservation of momentum.

3. Can linear momentum be negative?

Yes, linear momentum can be negative. The direction of the momentum vector depends on the direction of the velocity, so if an object is moving in the opposite direction of a chosen positive direction, its momentum will be negative.

4. What happens to the momentum of two objects after an elastic collision?

In an elastic collision, both the kinetic energy and the momentum of the objects are conserved. This means that the total momentum of the objects after the collision is the same as before the collision.

5. How does the mass and velocity of two objects affect their collision and resulting linear momentum?

The mass and velocity of two objects will affect the resulting linear momentum by determining the magnitude and direction of the momentum vectors. Objects with larger mass and/or higher velocities will have greater momentum, and the direction of their velocities will determine the direction of their momentum vectors.

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