Conservation of Linear Momentum

In summary, Conservation of Linear Momentum is a fundamental law of physics that states that the total momentum of a closed system remains constant over time. It is important because it simplifies calculations and allows us to predict the motion of objects in a system. The key principles include the conservation of momentum in all types of collisions and the fact that momentum is a vector quantity. This concept can be observed in real-life situations such as collisions and the motion of celestial bodies. Some common misconceptions include thinking that it only applies to moving objects and confusing momentum with velocity.
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Homework Statement



There is a ball that's going 45 m/sec and it's hitting the ground at an 80 degree angle, but when it bounces off, it has a 58 degree angle. The coefficient of restitution is not known.


Homework Equations





The Attempt at a Solution



I'm just wondering, but is the x-component of the velocity the same before the collision as afterwards if the x-axis is the ground?
 
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With negligible air resistance, I'd say yes.
 

FAQ: Conservation of Linear Momentum

What is Conservation of Linear Momentum?

Conservation of Linear Momentum is a fundamental law of physics that states that the total momentum of a closed system remains constant over time. This means that the combined momentum of all objects in the system cannot change unless acted upon by an external force.

Why is Conservation of Linear Momentum important?

Conservation of Linear Momentum is important because it allows us to predict the motion of objects in a system without having to consider all of the individual forces acting on each object. This simplifies calculations and makes it easier to understand and analyze the behavior of objects in motion.

What are the key principles of Conservation of Linear Momentum?

The key principles of Conservation of Linear Momentum are that momentum is a vector quantity, meaning it has both magnitude and direction, and that it is conserved in all types of collisions, including elastic and inelastic collisions. Additionally, the total momentum of a system is equal to the sum of the momenta of all individual objects in the system.

How does Conservation of Linear Momentum apply to real-life situations?

Conservation of Linear Momentum can be observed in many real-life situations, such as collisions between vehicles, balls, or other objects. It also applies to the motion of planets and other celestial bodies in space, as well as the motion of particles in quantum mechanics.

What are some common misconceptions about Conservation of Linear Momentum?

One common misconception about Conservation of Linear Momentum is that it only applies to objects in motion. However, it also applies to stationary objects, as long as they are part of a closed system. Another misconception is that momentum is the same as velocity, when in fact momentum is the product of an object's mass and velocity.

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