Question

A force $F$ acting on an object varies with distance $x$ as shown in the figure. The work done by the force in moving the object from $x=0$ and $x=20m$ is

• A. $500J$
• B. $1000J$
• C. $1500J$
• D. $2000J$

Answer 1

Answer: (C)

$1500J$

Area under force displacement curve is the work done in that interval

Area under the given figure$=$ Area of surface$+$ Area of triangle.

Work done$=10\times 100+\frac{1}{2}\times 10\times 100$

$=1000+500=1500J$