Question

A force acts on a body and displaces it in its direction. The graph shows the relation between the force and displacement, the work done by the force between $x=10m$ and $x=14m$ is:

• A. 420 J
• B. 360 J
• C. 840 J
• D. 120 J

Answer 1

Answer: (D)

120 J

We know that the work done by a force is equal to the area under the F-x graph.
The work done by the force between $x=10m$ and $x=14m$ is the area of the triangle with height $60N$ and base$4m$.
Work done
W = Area of triangle.

$W=\frac{1}{2}\times 4\times 60$

$W=\frac{240}{2}=120J$