The work done by a force acting on a body is as shown in the graph. The total work done in covering an initial distance of $20 \mathrm{~m}$ is

• A

  $225 \mathrm{~J}$
• Correct answer
  B

  $200 \mathrm{~J}$
• C

  $400 \mathrm{~J}$
• D

  $175 \mathrm{~J}$

Solution

Word done $W=$ Area ABCEFDA $=$ Area $\mathrm{ABCD}+$ Area CEFD

$=\frac{1}{2} \times(15+10) \times 10+\frac{1}{2} \times(10+20) \times 5$ $=125+75=200 \mathrm{~J}$

Hence, the correct answer is option: 'B'.