Question

A particle get displaced by the action of a force F=2x work done by force F from (1,0) to (2,0) is​

Answer 1

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+ 2x 2 ]1.0

2.0 =3.5J

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