Question

The graph shown describes a certain force that is exerted on an object, as a function of the position of the object. How much work is done by this force as the object moves from the position 0.0 m to 6.0 m?

Answer 1

The graph shown describes a certain force that is exerted on an object, as a function of the position of the object. How much work is done by this force as the object moves from the position $0.0\mathrm{m}$ to $6.0\mathrm{m}$ ?

Solution

The work that done by this force is equal to the area under the curve $F(x)$ . So

$$A = 4 * 2 + (- 2) * 3 + 0 * 1 = 2 J$$