A force F acting on an object varies with distance x as shown here. The force is in newton and distance is in metre. The work done by the force in moving the object from x=0 to x=6 ~m is

Step-by-step solution

The work done will be the area of the F -x graph. Work done in moving the object from x=0 to x=6 ~m is given by W= area of rectangle + area of triangle aligned & =3 3+ 1 2 3 3 & =9+4.5=13.5 ~J aligned