Question

A graph of the net force on an object is shown as a function of position as the object travels 3 meters. Which of the following conclusions about the object's motion can be drawn from the graph? a. The object’s kinetic energy changes by is 18 J.b. The object’s momentum changes by 18 kg•m/s.c. The acceleration of the object is 4 m/s^2.d. The speed on the object is 4 m/s.e. The power delivered to the object is 4 W.

Answer 1

We know that in a force-position graph the area under the graph is equal to the work done by the force.

In this case the area under the graph is a triangle with base 3 and height 12, then the work done is:

`\begin{gathered} W=(1)/(2)(3)(12) \\ W=18 \end{gathered}`

Now, we also know that the work is equal to the change of kinetic energy, that is:

`\Delta K=W`

Then:

`\Delta K=18`

Therefore, we can conclude from the graph that the object's kinetic energy changes by 18 J and that the asnwer is a.