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Work and Kinetic Energy Problem Solutions

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Each solution provided below is not necessarily the only possible solution.  If a solution differs greatly from yours, copy and paste it from your browser to your Maple worksheet, then execute it and see if the final answers differ.

(1)  200,000 J

restart;
force := F = k*distance;
F := 36; distance := .02;
k := solve(force,k);
Int(1800*x, x=0..15);
Work := value(%);
plot(1800*x,x=0..16,labels=["x","F"],title=`Force vs. Distance`);

(2) 12,000 J

restart;
x := 3*t-4*t^2+1*t^3;
Diff(x,t,t);
F := m*value(%);
m := 6;
Work := Int(F*diff(x,t),t=0..6);
value(%);

 

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Work and Kinetic Energy Problem Set

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