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# useful force formula watch

1. If you move an object along the x-axis from x= a to x=b in the presence of a variable force given by force[x] at any point between x=a and x=b, then ∫ a to b force[x]dx
measures the amount of work done by the force field. The bigger this measurement is, the more the force field helped you.
If you are moving an object from x=1 to x=7,

which of the following force fields will give you the most help?
force1[x_] = (x-1)(x-7);
force2[x_] = (x-1)(7-x);
force3[x_] = 3+Sin[2x];

and why??
2. integrate each force then plug the limits in and see which is greater.

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Updated: December 23, 2005
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