Work And Kinetic Energy

Step 1: Understanding the concept of work done.
The work done by a variable force is given by the area under the force-displacement graph. The graph provided has three parts: a constant force from to , a linearly increasing force from to , and a constant force at .

Step 2: Calculating the area under the graph.
- From to , the force is constant at 2 N. The work done in this section is the area of a rectangle: - From to , the force increases linearly from 2 N to 4 N. The work done in this section is the area of a triangle:

Step 3: Total work done.
The total work done is the sum of the work in both sections:

Step 4: Conclusion.
Thus, the total work done in moving the body from to is , and the correct answer is 10 Joules.