Question 24 of 183

A person pushes a box on a rough horizontal plateform surface. He applies a force of $200N$ over a distance of $15m$. Thereafter, he gets progressively tired and his applied force reduces linearly with distance to $100N$. The total distance through which the box has been moved is $30m$. What is the work done by the person during the total movement of the box?

A$3280J$B$2780J$C$5690J$D$5250J$

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Answer: (D) $5250J$

$W=area=(200\times 15)+\dfrac{1}{2}(100+200)\times 15$
$=3000+2250$
$W=5250J$