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What is the difference between W=Fd and W=£ F(x) dx (£=integral)

What is the difference between W=Fd and W=£ F(x) dx (£=integral)
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Answer #1

W=Fd is the work done by a constant force F (Magnitude of force does not change) in displacing an object through a distance d.

this is the work done by a force that changes with position or as we move from one location to other in displacing an object from x1 to x2. One example of this kind of force is the force exerted by the spring. The force exerted by the spring is given by

.

Here clearly when the elongation given by x is changed the force also changes.

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