Calculating Speed After a Collision: An Exercise in Momentum

Use the equation W=K2-K1 to find the initial and final kinetic energies. Then use the conservation of momentum equation to solve for the final velocity of the originally stationary box. In summary, to find the speed of the originally stationary box after an elastic collision with a box moving at 6 m/s, use the conservation of energy and momentum equations to find the final velocity. Without knowing the amount of energy lost during the collision, there is not enough information to solve for the final velocity.
  • #1
zmike
139
0

Homework Statement



There are 2 identical boxes. One box is stationary. Another box is moving towards the other box at 6 m/s. After the collision what is the speed of the originally stationary box? Give a numerical answer in m/s.

Homework Equations



p=m1v1
W=K2-K1

The Attempt at a Solution



so I would use conservation of momentum

p1=p2
m*6=m*v1+mv2

and after this there's no way to solve for v2? I don't know what speed the orignally moving box will travel ?

Thanks
 
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  • #2
It seems that you are missing an important bit of information - was the collision elastic or inelastic? Or how much energy was lost (to friction) during the colission.

With this bit of information, you can use the conservation of enrgy equation along with the conservation of momentum equation. You then have 2 equations with 2 unknowns (v1 and v2), and you can solve for them.
 
  • #3
thanks for the reply

I forgot to mention that it was an elastic collision.

Conservation of energy eqn? How do I do that?

ty
 
  • #4
Set initial kinetic energy equal to final kinetic energy.
 

1. What is momentum and how is it calculated?

Momentum is a measure of an object's motion and is calculated by multiplying its mass by its velocity.

2. How do you calculate the speed after a collision?

To calculate the speed after a collision, you need to use the conservation of momentum equation, p1 = p2, where p1 is the initial momentum and p2 is the final momentum. This equation can be rearranged to solve for the final speed, v2.

3. What factors can affect the speed after a collision?

The speed after a collision can be affected by the masses of the objects involved, their velocities before the collision, the type of collision (elastic or inelastic), and any external forces acting on the objects.

4. How does the law of conservation of momentum apply to collisions?

The law of conservation of momentum states that the total momentum of a closed system remains constant. In the context of collisions, this means that the total momentum before the collision is equal to the total momentum after the collision.

5. Can momentum be negative?

Yes, momentum can be negative. This occurs when the direction of an object's velocity is opposite to the direction of its motion. Negative momentum does not indicate a decrease in motion, but rather a change in direction.

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