Impulse and Momentum, Theorem, Particle, Systems, Average Force, Application - Physics C (Mechanics)

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Impulse is the change in momentum of an object, calculated by multiplying the force applied by the time it acts (\(J=F\cdot \Delta t\)). Momentum is a vector quantity defined as the product of an object's mass and its velocity (\(p=m\cdot v\)). The relationship between them, known as the impulse-momentum theorem, states that impulse is equal to the change in momentum (\(J=\Delta p\)).

💡Momentum
• Definition: A measure of an object's mass in motion, calculated as the product of its mass and velocity. Formula: \(p=m\cdot v\).
• Properties: It is a vector quantity, meaning it has both magnitude and direction.

💡Impulse
• Definition: A measure of the change in momentum of an object. It is the result of a force acting on an object over a period of time.
• Formula: \(J=F\cdot \Delta t\).
• Properties: It is also a vector quantity, with its direction being the same as the force.

💡The Impulse-Momentum Theorem
• Relationship: The impulse delivered to an object is equal to the change in its momentum.
• Formula: \(J=\Delta p\), which can be expanded to \(F\cdot \Delta t=\Delta (m\cdot v)\).
• Application: This theorem is used to analyze collisions. For example, by increasing the time of impact (like a baseball player extending their swing), the force experienced can be reduced for the same change in momentum.

💡Worksheets are provided in PDF format to further improve your understanding:
• Questions Worksheet: https://drive.google.com/file/d/1gQiQiocY4C34bosOHBIKFhgUafokfoLY/view?usp=drive_link
• Answers: https://drive.google.com/file/d/156u-UdQMLf0xQ6HR1js5eNvJ5nd-gDHy/view?usp=drive_link

💡Chapters:
00:00 Impulse and momentum
01:39 Systems of particles
03:17 Alternative definition of impulse
05:11 Worked examples

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