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Impulse and Momentum

# Impulse and Momentum - acceleration the second relating...

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Impulse and Momentum Having studied the macroscopic movement of a system of particles, we now turn to the microscopic movement: the movement of individual particles in the system. This movement is determined by forces applied to each particle by the other particles. We shall examine how these forces change the motion of the particles, and generate our second great law of conservation, the conservation of linear momentum. Momentum From our equation relating impulse and velocity, it is logical to define the momentum of a single particle, denoted by the vector p , as such: p = mv Again, momentum is a vector quantity, pointing in the direction of the velocity of the object. From this definition we can generate two every important equations, the first relating force and
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Unformatted text preview: acceleration, the second relating impulse and momentum. Relating Force and Acceleration The first equation, involving calculus, reverts back to Newton's Laws. If we take a time derivative of our momentum expression we get the following equation: = ( mv ) = m = ma = F Thus = F It is this equation, not F = ma that Newton originally used to relate force and acceleration. Though in classical mechanics the two equations are equivalent, one finds in relativity that only the equation involving momentum is valid, as mass becomes a variable quantity. Though this equation is not essential for classical mechanics, it becomes quite useful in higher-level physics....
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