Conservation of Momentum in Explosions

In summary, the question is asking if the momentum of two carts, initially at rest and then exploding, will still be equal if they were initially moving at some speed. The answer is that momentum is conserved in both cases, but the momenta of the two carts may not necessarily be equal after the explosion.
  • #1
anton717
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0

Homework Statement



Cart 1 and cart 2 are initially at rest, and after the explosion the momentum of the two carts was the same. If the two carts were moving at some initial speed v0 before the explosion: would the momentum of the two carts still be equal?

Homework Equations


Momentum. mvi=mvf

The Attempt at a Solution


I am 99% sure that the momentum will be conserved (makes logical sense). But since its physics, I want to make sure that its 100% correct. :) Thank you
 
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  • #2
Hello, anton717.

Consider the first case where the two carts were initially at rest. If you take into account that momentum is a vector quantity, is it really true that the momentum of each cart was the same after the explosion?

For the second case where the carts are initially moving, you are right that momentum is conserved. But the question is whether or not the momenta of the two carts are equal to each other after the explosion.
 

1. How does conservation of momentum apply to explosions?

The law of conservation of momentum states that in any interaction between two objects, the total momentum of the system remains constant. In the case of an explosion, the initial momentum of the explosive material is converted into the momentum of the resulting fragments and gases. This means that the total momentum before and after the explosion is the same.

2. What is the role of mass in the conservation of momentum in explosions?

Mass plays a crucial role in the conservation of momentum in explosions. The more massive the explosive material, the greater the resulting momentum of the fragments and gases. This is why larger explosions tend to have a greater impact and cause more damage.

3. How does the direction of explosion affect the conservation of momentum?

The direction of the explosion does not affect the conservation of momentum. The law states that the total momentum of the system remains constant in any direction. This means that even if the explosion occurs in a different direction, the total momentum before and after the explosion remains the same.

4. What happens to the energy in an explosion according to the conservation of momentum?

The conservation of momentum does not account for energy. However, in an explosion, the initial energy of the explosive material is converted into kinetic energy of the resulting fragments and gases. This is why explosions release a large amount of energy in a short period of time.

5. How does the conservation of momentum help in understanding the impact of explosions?

The conservation of momentum helps in understanding the impact of explosions by providing a quantitative measure of the explosive force. By calculating the total momentum of the fragments and gases, scientists can estimate the size and power of an explosion and assess its potential impact on the surrounding environment.

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