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 $x=2m$ and $x=10m$ is

• A. 240 J
• B. 360 J
• C. 840 J
• D. 720 J

Answer 1

The correct option is A 240 J

Here, the graph shows the relation between the force and displacement, hence work done will be the area of the curve.
from graph,
F = 60 N
s = 10-2 = 8 m
Hence, the work done by the force between x=2 m and x=10 m is
W = A(triangle) = $\frac{60\times 8}{2}=240J$