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I am studying Lineer Momentum.And I am not quite sure the understand the priniciples and basics of it.Is there any lecture video or note that I can understand better.Level should be undergrad freshman.
Linear momentum is a physical quantity that describes the motion of an object based on its mass and velocity. It is a vector quantity, meaning it has both magnitude and direction. It is often represented by the symbol "p" and is measured in units of kilogram-meters per second (kg*m/s).
According to Newton's first law of motion, an object in motion will continue to move at a constant velocity unless acted upon by an external force. Linear momentum is a property of an object in motion and will not change unless an external force is applied to it, which aligns with Newton's first law. Additionally, Newton's second law states that the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass. This can be rewritten as F=ma, where "F" represents the net force and "m" represents the mass. Since linear momentum is calculated as p=mv, it is also directly related to force and mass.
The law of conservation of linear momentum states that the total momentum of a closed system remains constant. This means that in the absence of external forces, the total momentum of the system before an event must be equal to the total momentum after the event. This principle is often used to analyze collisions and other interactions between objects.
Linear momentum refers to the motion of an object in a straight line, while angular momentum refers to the rotation of an object around an axis. Linear momentum is calculated as the product of an object's mass and velocity, while angular momentum is calculated as the product of an object's moment of inertia and angular velocity. While linear momentum is a vector quantity, angular momentum is a vector quantity with direction perpendicular to the plane of rotation.
Linear momentum is a fundamental concept in physics and is used in various real-world applications, including transportation, sports, and engineering. The principles of linear momentum are used to design vehicles, such as rockets and airplanes, to achieve optimal speed and stability. In sports, understanding linear momentum is crucial for athletes to perform well in activities such as running, jumping, and throwing. In engineering, linear momentum is used to analyze the motion of fluids, such as in the design of pipelines and pumps.