Gabrielle and Pierre are trying to move a 52 kg box by pushing it across the floor. Gabrielle is pushing with a force of 40 N [east], while Pierre is pushing with a force of 32 N [west). There is also a friction force of 3 N [west] on the box. Assume the box travels 4 m (east).
1. Draw a system diagram and a free-body diagram of the box.
2. Calculate the net force in the horizontal direction on the box. In which direction is the net horizontal force?
3. Calculate the net force in the vertical direction on the box. In which direction is the net vertical force?
4. Remember that net force indicates an acceleration. In which direction is the box accelerating and hence, moving)?
5. Determine the work Gabrielle exerts on the box. Considering the direction the box is going, is the work positive or negative?
6. Determine the work Pierre exerts on the box. Considering the direction the box is going, is the work positive or negative?
7. Determine the work friction is doing on the box. Considering the direction the box is going, is the work positive or negative?
8. Add together Gabrielle's and Pierre's work, and the work from the force of friction. If any of the amounts of work were negative, the
amount becomes a negative number in the summation. What is the net work being done on the box in the horizontal direction?
9. What is the network being done on the box in the vertical direction?