Conservation of linear momentum

In summary, the law of conservation of linear momentum states that the total momentum of a closed system remains constant over time, and is defined as the product of an object's mass and velocity. Real-life examples include collisions, launches, and crashes, and it relates to Newton's third law of motion. It is a fundamental law of physics and cannot be violated, although there may be cases where it appears to be violated due to external forces or incomplete observations.
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Homework Statement


a 50kg man is standing at one end of a 25m long boat.if he starts running towards the other end,he attains a velocity of 2m/s on reaching the other end.if the mass of the boat is 200kg,what is the velocity of the boat?{can someone give me a hint as to how to approach such kind of problems}

Homework Equations


The Attempt at a Solution

 
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Start by writing an equation involving the momentum of the man and of the boat before and after he runs the 25m distance.
 
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1. What is the law of conservation of linear momentum?

The law of conservation of linear momentum states that the total momentum of a closed system remains constant over time, regardless of any external forces acting on the system. This means that the total momentum before a collision or interaction is equal to the total momentum after the collision or interaction.

2. How is linear momentum defined?

Linear momentum is defined as the product of an object's mass and velocity. In mathematical terms, it can be represented as p = mv, where p is momentum, m is mass, and v is velocity. It is a vector quantity, meaning it has both magnitude and direction.

3. What are some real-life examples of conservation of linear momentum?

Some common examples of conservation of linear momentum include a billiard ball colliding with another billiard ball, a rocket launching into space, and a car crash. In each of these scenarios, the total momentum of the system remains constant before and after the interaction.

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

According to Newton's third law of motion, for every action, there is an equal and opposite reaction. In the context of conservation of linear momentum, this means that the total momentum of two interacting objects will be equal and opposite before and after the interaction.

5. Can the law of conservation of linear momentum be violated?

No, the law of conservation of linear momentum is a fundamental law of physics and has been proven to hold true in all observed interactions. However, there may be cases where it appears that momentum is not conserved, but this can often be explained by factors such as external forces or incomplete observations.

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