Question

Use Matlab to solve this equation for vP Without requiring manual recasting into standard quadratic form. M file is good. Solve Vp, other values are known.

1/2mVa^2-(mgRe^2/Ra)=1/2mVp^2-(VpmgRe^2/RaVa)

Va=4373 Re = 6370 Ra=16000 m=18000 g=9.81

Answer 1

Solution:

Matlab Script:

clear;clc
Va=4373;Re=6370;
Ra=16000;m=18000;
g=9.81;
syms Vp
eqn=0.5*m*Va^2-(m*g*Re^2/Ra)==0.5*m*Vp^2-(Vp*m*g*Re^2/(Ra*Va));
Sol=double(solve(eqn))

Output:

Sol =

1.0e+03 *

-4.3616
4.3730

Screenshot:

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