Conservation of momentum physics homework

In summary, the conversation discusses the concept of a body exploding into two different masses and flying apart. It is mentioned that this can be solved using the conservation of momentum, with equations relating the masses and speeds of the two masses before and after the explosion. It is also suggested that the two masses have the same kinetic energy, but this is not explicitly stated. The application of the law of conservation of momentum is questioned when the two masses are moving in an angle with respect to each other. Ultimately, the conversation ends with the conclusion that the two masses must have the same quantities and paths after the explosion, according to the exploding body's reference system.
  • #1
wudingbin
24
0
when a body explode into two different masses, and fly apart.
will the two mass have same kinetic energy, or will it experience same force on it during explosion?
 
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  • #2
I don't know what you mean with "will it experience same force on it during explosion"

you can solve this with conservation of momentum.
Suppose the masses are m_1 and m_2 and the masses fly off with speeds v_1 and v_2
what was the initial momentum before the explosion?
what do you know about the directions that the masses will take?
give an equation with conservation of momentum relating m_1, m_2, v_1 and v_2

now combine this equation with the assumption that the masses have the same energy.
what can this tell you about m_1 and m_2?
 
  • #3
but, it is not linear momentum.
so, how to apply the law of conservation of momentum if the two masses are moving in an angle with respect to each other.
so u r saying that the two masses have kinetic energy?
 
  • #4
If there are just two masses flying away, they must do this in opposite directions to make the total momentum zero.
you should try to be more accurate. I suppose you meant "That the two masses have the same kinetic energy" and I did not say that.
I just wanted you to combine this assumption with conservation of momentum, and see what that tells you about the two masses.
 
  • #5
thanx, but the the two masses is not moving in the opposite direction, each of the two motion path makes a different angle with respect to ground.
so, what same quantities do the two masses possessed?
 
  • #6
It is not possible that two masses' paths have different angles after explosion (in the exploding body's referent system)
 
  • #7
OK, thanks guys
 

1. What is the conservation of momentum?

The conservation of momentum is a fundamental law in physics that states that the total momentum of a closed system remains constant over time, regardless of any external forces acting on the system.

2. How is momentum defined?

Momentum is defined as the product of an object's mass and velocity. It is a vector quantity, meaning it has both magnitude and direction.

3. What is an example of the conservation of momentum in action?

One example is billiards or pool. When a cue ball strikes a stationary ball, the cue ball loses momentum and transfers it to the stationary ball, causing it to move. The total momentum of the system (cue ball and stationary ball) remains constant.

4. How does the conservation of momentum relate to Newton's third law of motion?

Newton's third law states that for every action, there is an equal and opposite reaction. This means that when two objects collide, their forces on each other are equal and opposite. The conservation of momentum ensures that the total momentum of the system is conserved in this interaction.

5. Can momentum be lost or gained in a closed system?

No, according to the conservation of momentum, the total momentum of a closed system must remain constant. It can be transferred between objects within the system, but it cannot be created or destroyed.

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