Physics projectile motion

# Physics projectile motion - Newtons Laws Projectiles and...

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1 Projectiles and Charged Particles Newton’s Laws Newton’s first law In the absence of forces, a particle moves with constant velocity. Newton’s second law For any particle of mass m , the net force F on the particle is always equal to the mass m times the particle’s acceleration: Newton’s third law If object 1 exerts a force F 21 on object 2, then object 2 always exerts a reaction force F 12 on object 1 given by a m F = 21 12 F F = Newton’s Second Law Newton’s second law as a differential equation F dt r d m = 2 2 or in the Cartesian coordinates z y x F dt z d m F dt y d m F dt x d m = = = 2 2 2 2 2 2 Air resistance The physical origin of the terms: The linear term corresponds to the viscosity drag of the medium The quadratic term describes the acceleration of the mass of air pushed by the projectile for medium to fast speeds g m w = v v v f f ˆ ) ( = quad lin f f cv bv v f v v v + = + = = 2 ) ( | | / ˆ quad lin f f << Drag force at fast speed (Rayleigh’s equation) drag coefficient (dimensionless constant) air density projectile cross section (area) speed v A C ρ v Av C F

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## This note was uploaded on 09/29/2009 for the course PHYSICS 811 taught by Professor Godunov during the Fall '09 term at Old Dominion.

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Physics projectile motion - Newtons Laws Projectiles and...

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