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

240 J

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360 J

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840 J

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720 J

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Solution

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) = $\frac{60 \times 8}{2} = 240 J$

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A force F acts on a body and displaces it by a distance S in a direction at an angle $θ$ with the direction of force.

(a) Write the expression for the work done by the force.

(b) What should be the angle between the force and displacement to get (i) zero, (ii) maximum, work?

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