Question

Find the work done for a displacement of 4 m from the following graph.

• A. $0.5J$
• B. $1.0J$
• C. $3.0J$
• D. $3.5J$

Answer 1

The correct option is D

$3.5J$

Step 1: Area under force and displacement graph.

The area under the force and displacement graph represents the work done.

Step 2: To find the work done from the graph

Work done is given by the summation of the areas of the above graph

$W.d=A1+A2-A3$ where A1, A2, and A3 are the areas from the graph. [ A3 is negative because the force is negative in this region.]

$W.d=(1\times 2)+(1\times 2)-(\frac{1}{2}\times 1\times 1)$

$W.d=3.5J$

Hence, option D is correct.