Conservation of momentum for collision(q59)

In summary, conservation of momentum is a fundamental principle in physics that states the total momentum of a system is conserved in a closed system. In a collision, the total momentum before and after the collision remains the same. The formula for conservation of momentum is M1V1 + M2V2 = M1V1' + M2V2', where M is mass and V is velocity. This principle applies to both elastic and inelastic collisions, with some differences in the conservation of kinetic energy. Real-life applications of conservation of momentum include car crashes, billiard balls colliding, and rocket propulsion, as well as the design of safety features such as airbags and bumpers.
  • #1
jack1234
133
0
For the following problem:
http://tinyurl.com/28xuwh

The answer is a.
What I understand is: The momentum of a system of two particles is conserved when the system is isolated.

Can anybody explain to me, why a is the correct answer?
 
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  • #2
One way of finding out why option a is true, or why the others aren't, is to see what b,c,d and e would lead to, assuming they are correct.

Remember, Force = dp/dt.
 
  • #3


I can confirm that a is the correct answer for this problem. This is because conservation of momentum is a fundamental law in physics that states that the total momentum of a closed system remains constant. In this problem, the system consists of two particles, and the only external force acting on them is gravity. Since the system is isolated, there are no external forces acting on it, and therefore, the total momentum of the system must remain constant. This means that the initial momentum of the two particles before the collision must be equal to the final momentum after the collision. Therefore, the correct answer is a, as it states that the momentum of the system is conserved when it is isolated.
 

1. What is conservation of momentum?

Conservation of momentum is a fundamental principle in physics that states that the total momentum of a system is conserved in a closed system, meaning that the total momentum remains constant before and after any interaction or collision.

2. How is momentum conserved in a collision?

In a collision, the total momentum of the system before the collision is equal to the total momentum after the collision. This means that the sum of the momentums of all objects involved in the collision remains the same.

3. What is the formula for conservation of momentum?

The formula for conservation of momentum is:
M1V1 + M2V2 = M1V1' + M2V2',
where M is mass and V is velocity.

4. Does conservation of momentum apply to both elastic and inelastic collisions?

Yes, conservation of momentum applies to both elastic and inelastic collisions. In an elastic collision, the total kinetic energy is conserved in addition to momentum, while in an inelastic collision, some kinetic energy is lost as heat or sound, but momentum is still conserved.

5. What are some real-life applications of conservation of momentum?

Conservation of momentum has many real-life applications, including car crashes, billiard balls colliding, and rocket propulsion. This principle is also used in the design of airbags and bumper systems in cars to reduce the impact force during a collision.

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