Conservation of momentum formula

In summary, the conversation discusses the calculation of force exerted on block (A) by block (B) after a collision. The formula for impulse is used, which equates to the change in momentum. It is clarified that to find the force exerted by block (B) on block (A), the impulse of block (A) is needed, which is equal to its change in momentum and velocity. It is noted that the force exerted by block (B) on block (A) is equal and opposite to the force exerted by block (A) on block (B). Lastly, it is emphasized that momentum is mass multiplied by velocity, not speed, and direction is important.
  • #1
Gogsey
160
0
A block (A) collides with block (B). The blocks were in contact for 0.25 seconds. So what is the force exerted on block (A) by block (B)?

I used the formula for impulse and set it equal to the momentum.
But it requires a change in velocity for it to work. I already know the velocity of each block before and after the collision, so since its the force on (A) by (B), the change in velocity in the formula is the velocity of (B) before and after the collision, right?
 
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  • #2
Impulse is the change in momentum, not the momentum.

No, when you use that formula, to find the force exerted on block A, you need to use the impulse of block A, so its change in momentum (and velocity, consequently).
 
  • #3
The impulse ([itex]F \Delta T[/itex]) equals the change in momentum. To find the force that B exerts on A, you need the change in momentum of A. (Note that the force that B exerts on A is equal and opposite to the force that A exerts on B.)
 
  • #4
The change in momentum of blocK (A) being its mass multiplied by the change in speed(speed after collision minus the speed before collision).

Change in momentum of (A) = impulse will give me the force experienced by block (A) by the force of blaock (B) exerted on it.
 
  • #5
Gogsey said:
The change in momentum of blocK (A) being its mass multiplied by the change in speed(speed after collision minus the speed before collision).

Change in momentum of (A) = impulse will give me the force experienced by block (A) by the force of blaock (B) exerted on it.

Right. Use the expression for impulse given by Doc Al.

Also, momentum is mass multiplied by velocity, not speed. Direction is important.
 
Last edited:

What is the conservation of momentum formula?

The conservation of momentum formula states that the total momentum of a closed system remains constant over time. This means that the sum of the momenta of all objects in the system before a collision or interaction is equal to the sum of the momenta after the collision or interaction.

Why is the conservation of momentum important?

The conservation of momentum is important because it is a fundamental law of physics that is always observed in nature. It allows us to predict the outcomes of interactions between objects and to understand the motion of objects in our everyday lives.

What are the assumptions of the conservation of momentum?

The conservation of momentum assumes that there are no external forces acting on the system and that the system is closed, meaning that there is no exchange of mass or energy with the surroundings.

How is the conservation of momentum related to Newton's third law of motion?

The conservation of momentum is related to 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 interact, their momenta will change in opposite directions, but the total momentum of the system will remain constant.

Can the conservation of momentum be violated?

No, the conservation of momentum is a fundamental law of physics and has been observed to hold true in all interactions between objects. However, it may appear to be violated in certain situations, such as when external forces are present or when there is an exchange of mass or energy with the surroundings.

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