A force $F$ acting on an object varies with distance $x$ as shown here. The force is in N and $x$ in

Question

A force $F$ acting on an object varies with distance $x$ as shown here. The force is in N and $x$ in m . The work done by the force in moving the object from $x=0$ to $x=6 \mathrm{~m}$ is\

Professor PC Thomas Classes · Answer

(b) : Work done $=$ area under $F-x$ curve = area of trapezium $$ =\frac{1}{2} 	imes(6+3) 	imes 3=\frac{9 	imes 3}{2}=13.5 \mathrm{~J} $$