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Physics I Lab Manual 2011 92

# Physics I Lab Manual 2011 92 - EXPERIMENT 13 NUMERICAL...

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EXPERIMENT 13. NUMERICAL ANALYSIS (e) Net force for numerical solution without drag force acting: F n = - mg (f) Acceleration for numerical solution without drag force acting a n = F n /m (g) Numerical solution to velocity with drag force acting: v n = v n - 1 + a n - 1 Δ t (h) Numerical solution to distance with drag force acting: y n = y n - 1 + v n - 1 Δ t (the 1 2 a Δ t 2 term can be neglected for sufficiently small timesteps) (i) Net force for numerical solution with drag force acting: F n = 0 . 22 d 2 v 2 n - mg (j) Acceleration for numerical solution with drag force acting a n = F n /m Plot velocity and position as functions of time for at least 32 points. Highlight the column of time values. Holding the ctrl key to skip columns, also highlight the two columns of velocity values. Then select Chart from the Insert menu and Excel will guide you through the plotting options. Show on this graph the terminal velocity you calculated. Also plot distance as a function of time, again comparing the drag-free case to the realistic solution.
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