If F = 2x, find work done from X1 = 1m to X2 = 3m
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3.5 J
As the force is variable, we shall find the work done in a small displacement from x to x+dx and then integrate it to find the total work. The work done in this small displacement is
dW=Fdx=(2+x)dx
Thus, W=∫
1.0
2.0
dW=∫
1.0
2.0
(2+x)dx
=[2x+
2
x
2
]
1.0
2.0
=3.5J
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