Momentum conservation in collisions

In summary, momentum conservation in collisions is a fundamental concept in physics that states that the total momentum of a closed system remains constant during a collision. This is due to Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. Elastic and inelastic collisions both conserve momentum, but external forces can disrupt this conservation. In an explosion, the total momentum of the system is conserved as the momenta of the individual fragments cancel out.
  • #1
ba726
3
0
can the percentage error for final total momentum be negative in an elastic collision? It doesn't have absolute value in the equation given and I get a negative number, p(final) - p(initial)/p(initial) x 100 though small -0.528
 
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  • #2
Hi ba726, welcome to PF. Yes, errors can be negative.
 
  • #3


In a collision, momentum is always conserved according to the laws of physics. This means that the total momentum before the collision must equal the total momentum after the collision. The equation you provided is used to calculate the percentage error in the final total momentum compared to the initial total momentum. This value can be negative in an elastic collision because it represents the direction of the momentum change. A negative value indicates that the final momentum is in the opposite direction of the initial momentum, but it does not mean that momentum is not conserved. It is important to consider the direction of momentum in addition to its magnitude when analyzing collisions. Overall, the percentage error in momentum should be as close to zero as possible to ensure that momentum is conserved accurately.
 

1. What is momentum conservation in collisions?

Momentum conservation in collisions is a fundamental concept in physics that states that the total momentum of a closed system remains constant during a collision. This means that the total momentum of all objects involved in the collision before the collision is equal to the total momentum after the collision.

2. Why is momentum conserved in collisions?

Momentum is conserved in collisions because of Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. This means that when two objects collide, the force exerted by one object on the other is equal in magnitude and opposite in direction to the force exerted by the second object on the first. As a result, the total momentum of the system remains constant.

3. What types of collisions conserve momentum?

Elastic collisions and inelastic collisions both conserve momentum. In elastic collisions, the total kinetic energy of the system is also conserved, while in inelastic collisions, some kinetic energy is lost due to the deformation or breaking of objects. However, in both types of collisions, the total momentum of the system remains constant.

4. Is momentum conserved in all types of collisions?

No, momentum is not conserved in all types of collisions. If external forces are present, such as friction or air resistance, the total momentum of the system may not be conserved. This is because external forces can change the momentum of the objects involved in the collision.

5. How is momentum conserved in an explosion?

In an explosion, the total momentum of the system is conserved. This is because the initial momentum of the system is zero, and after the explosion, the momenta of the individual fragments of the explosion cancel out, resulting in a total momentum of zero. This conservation of momentum can be seen in the recoil of a gun when a bullet is fired.

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