The force on a particle is directed along an x axis and given by . Find the work done by the force in moving the particle from by (a) plotting and measuring the work from the graph and (b) integrating .
The given force function is,
The particle moves from
We can use the equation of work for the integration method. For the graph method, the work done is equal to the area under the curve in the graph.
The given function of force is,
F = -F0
F = 0
F = F0
We can plot the graph of F(x) using these points as
The work done, from the graph, is simply the area under the curve.
In the above graph,we see that the area under the curve from is equal to the area under the curve for and both are opposite to each other
So, the work done from the graph is
Using the integration method, we have
Therefore, work done is 0 J.
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