Conservation of Momentum in Elastic Collision

  • Thread starter missnur
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In summary, two objects with masses of 4kg and 2kg, moving at a speed of 1m/s towards each other, experience a perfectly elastic collision. The conservation of momentum equation is used to determine the velocities of the objects after the collision, and it is important to note that in a pure collision, momentum is always conserved while energy is usually not conserved unless specified in the question.
  • #1
missnur
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Hi all.

Pls help me with this question:

Two objects of mass m1=4kg and m2=2kg are moving with the same speed 1m/s towards each other before collision. Find the velocities of the 2 objects after collision if the collision is perfectly elastic.

Thank you all.
 
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  • #2
Velocities as in speeds? Remember that velocity is speed plus direction, so you can't really say if your teacher wanted 2 positive answers, or one positive and one negative answer.

Anyway, we are not allowed to give out direct answers to homework questions, but I am pretty sure that the needed formula and examples is in your textbook ;)

Good luck!
 
  • #3
Welcome to PF!

Hi missnur! Welcome to PF! :smile:

Hint: what conservation equations do you think apply to this problem? :smile:
 
  • #4
Hi. Hmmm..is it the conservative of momentum equation? does it mean that i will have a simultaneous equation?
 
  • #5
Hi missnur! :smile:

Conservation of momentum is a good start.

The question tells you that the collision is perfectly elastic … questions don't say things like that unless they're important … so what does it mean? :smile:
 
  • #6
Thank you tin tim. So when it says its perfectly elastic collision, means there is no loss of kinetic energy, right? So I am suppose to also find the conservative of energy equation?
 
  • #7
:smile: Woohoo! :smile:

Yes … general principle … in a pure collision (no outside strings or springs etc), momentum is always conserved, and energy usually isn't conserved (unless the question somehow tells you it is)! :smile:

( … if aok now, click on "Thread Tools" to mark the thread [SOLVED] … :smile: )
 

1. What is the velocity of 2 objects moving in the same direction?

The velocity of 2 objects moving in the same direction is the sum of their individual velocities. This is known as their relative velocity and is calculated by adding the velocities together.

2. How do I calculate the velocity of 2 objects moving in opposite directions?

To calculate the velocity of 2 objects moving in opposite directions, you need to subtract the velocity of the slower object from the velocity of the faster object. This will give you the relative velocity of the faster object with respect to the slower object.

3. Can the velocity of 2 objects ever be the same?

Yes, the velocity of 2 objects can be the same if they are moving at the same speed and in the same direction. In this case, their relative velocity would be 0.

4. How does mass affect the velocity of 2 objects?

The mass of an object does not directly affect its velocity. However, objects with larger masses may require more force to accelerate and therefore may have a lower velocity compared to objects with smaller masses.

5. What is the difference between velocity and speed?

Velocity and speed are often used interchangeably, but they have different meanings in physics. Velocity is a vector quantity that includes both the speed and direction of an object's motion, while speed is a scalar quantity that only refers to the rate of motion without considering direction.

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