Question

Adjacent figure shows the force-displacement graph of a moving body, the work done in displacing body from $x=0$ to $x=35m$ is equal to

• A. $50J$
• B. $25J$
• C. $287.5J$
• D. $200J$

Answer 1

The correct option is C $287.5J$

Work done = (Shaded area under the graph between $x=0$ to $ x = 35 m)

Work done = $Areaoftriangle\left(0to10s\right)+Areaofrectangle\left(10to30s\right)+Areaoftrapezium\left(30to35s\right)$

$W=(\frac{1}{2}\times 10\times 10)+(20\times 10)+(\frac{1}{2}\times (10+5)\times 5)$

$=287.5J$