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PHYS171_f11_lecture_22

# PHYS171_f11_lecture_22 - PHYS171 Principles of Physics I...

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PHYS171 Principles of Physics I Numerical Solution of the Equations of Motion Task: Calculate a 2D trajectory. Calculate projectile motion, including drag force.

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Trajectories including drag 0 5 10 15 -12 -10 -8 -6 -4 -2 0 acceleration (m/s 2 ) time (s) a x a y a x including drag a y including drag 0 5 10 15 0 200 400 600 800 1000 1200 position (m) time (s) x y x including drag y including drag Trajectories including drag 0 5000 10000 15000 0 1000 2000 3000 4000 v 0 = 100 m/s v 0 = 200 m/s v 0 = 400 m/s v 0 = 100 m/s with drag v 0 = 200 m/s with drag v 0 = 400 m/s with drag y (m) x (m)
Trajectories including drag 0 1000 2000 3000 4000 5000 6000 7000 0 500 1000 1500 2000 2500 3000 3500 v 0 = 1000 m/s with drag y (m) x (m) Chapter 6 Kepler’s Laws All planets move in elliptical orbits with the sun at one focus The radius vector drawn from the sun to a planet sweeps out equal area in equal time The square of the orbital period of any planet is proportional to the cube of the semi-major axis of the elliptical orbit Components of scientific method here, a compact set of rules defined which describe complicated phenomena.

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