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A body moves from rest under the action of a direct force given by 
where x is the distance in meters from the starting point. Write a script to compute the total work done in moving a distance
10 m. 1
Recall that the general definition of mechanical work is given by the following integral, see Wikipedia2:
Therefore we can write:
Applying the steps we followed in the previous examples, we write:
clc
disp('A body moves from rest under the action of a direct force given')
disp('by F=15/(x+3) where x is the distance in meters')
disp('From the starting point.')
disp('Compute the total work done in moving a distance 10 m.')
disp(' ') % Display blank line
x=0:.001:10; % Creating a row vector for distance, x
F=15./(x+3); % Computing Force for x
WorkDone=trapz(x,F) % Integrating F*dx over 0 to 10 meters.
The output of the above code is:
A body moves from rest under the action of a direct force given
by F=15/(x+3) where x is the distance in meters
From the starting point.
Compute the total work done in moving a distance 10 m.
WorkDone =
21.9951
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