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 m is ______.

Options

• 18.0 J

• 13.5 J

• 9.0 J

• 4.5 J

Answer 1

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 m is 13.5 J.

Explanation:

Work done = area under F-x graph = area of trapezium OABC

= `1/2(3+6)(3)`

= 13.5 J