Chapter 10 Notes

# Chapter 10 Notes - Chapter 10 Systems of Particles Momentum...

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Chapter 10: Systems of Particles Momentum - Newton’s laws can be expressed very neatly in terms of momentum, a vector quantity of great important in physics. The momentum of a single particle is defined as the product of the mass and the velocity of the particle (p = mv) - The momentum has the same direction as the velocity vector - Newton’s First Law states that in absence of external forces, the velocity of a particle remains constant. Therefore, the first law therefore states that the momentum remains constant - To express the Second Law in terms of momentum, we note that since the mass is constant, the time derivative is o dp/dt = m * dv/dt o dp/dt = ma o dp/dt = F - We can also express Newton’s Third Law in terms of momentum. Whenever two bodies exert forces on each other, the resulting changes of momentum are of equal magnitudes and of opposite directions o P = p1 + p2 + p3 + … +pN - The rates of change of p1 and p2 are exactly opposite (if they are the only 2 particles in a closed system) o Dp1/dt = - dp2/dt - Momentum is conserved, but kinetic energy is not conserved

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Chapter 10 Notes - Chapter 10 Systems of Particles Momentum...

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