Calculate the work done if a particle is moved along a path AB−BC−CD−DE−EF−FA, as shown in the figure in presence of a force , where x and y are in meters and .
Step 1. Given data
Force,
Step 2. Calculating the work done from A to B,
By using the formula of work,
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Step 2. Calculating the work done from B to C,
[]
Step 3. Calculating the work done from C to D,
[]
Step 3. Calculating the work done from D to E,
[]
Step 4. Calculating the work done from E to F and F to A
Work done from to and to is zero as .
Step 4. Calculating the total work done,
Adding all the equations, we get
Therefore, the work done,