Elastic Collision Problem. Help

In summary, the problem involves two objects, A and B, moving on a frictionless surface. Object A has a mass of 1 kg and initial velocity of 2 m/s to the left, while object B has a mass of 0.5 kg and initial velocity of 1 m/s to the right. The collision between the two objects is elastic, meaning both momentum and energy are conserved. By applying the laws of conservation of momentum and energy, the final velocities of the two objects can be calculated. Alternatively, the problem can also be solved by using conservation of linear momentum.
  • #1
blue_bee29
4
0

Homework Statement


2 objects A & B rolling along a frictionless horizontal surface. object A of mass 1 kg is initially moving to the left @ 2 m/s while object B of mass 0.5 kg moves to the right @ 1 m/s. What is the velocity of each object after the collision if the collision is elastic?


Homework Equations



[m][/A][v][/A]+[m][/B][V]=[m][/A][v][/A]'+[m][V]'[SUBm][/SUB1]

The Attempt at a Solution



 
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  • #2
Apply the law of conservation of momentum and law of conservation of energy. Take care that the two initial velocities are not in the same direction.
 
  • #3
Since there is no net external force on the system, the momentum is conserved... and since it's also a elastic collision energy is also conserved.

The easiest way to go about this problem is to use conservation of linear momentum
7745116605c54295c6c3b696cea2d39f.png


another way of going about this is that since energy is also conserved.
bb6e6a256bd18a66718b52e694d5440c.png


Let me know how it goes...
 
Last edited by a moderator:
  • #4


hey, thanks guys. Got the answer. phew..!:smile:
 

1. What is an elastic collision?

An elastic collision is a type of collision where the total kinetic energy of the system is conserved. This means that the total energy of the objects before the collision is equal to the total energy after the collision.

2. How is the momentum conserved in an elastic collision?

In an elastic collision, the total momentum of the system is conserved. This means that the sum of the momentums of the objects before the collision is equal to the sum of the momentums after the collision.

3. What are the two types of elastic collisions?

The two types of elastic collisions are head-on collisions and oblique collisions. In a head-on collision, the objects collide directly with one another, while in an oblique collision, the objects collide at an angle.

4. What is the difference between an elastic collision and an inelastic collision?

In an elastic collision, the total kinetic energy of the system is conserved, while in an inelastic collision, some of the kinetic energy is lost in the form of heat, sound, or deformation of the objects involved.

5. How do I solve an elastic collision problem?

To solve an elastic collision problem, you can use the conservation of energy and momentum equations. First, calculate the total kinetic energy and momentum of the system before the collision. Then, use the equations to calculate the velocities of the objects after the collision. Finally, check if the total energy and momentum are conserved in the final state.

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