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Be sure to check your steps when you are finished, or to get a hint of how to move to the next step. Gabrielle and
Be sure to check your steps when you are finished, or to get a hint of how to move to the next step.
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].
- Draw a system diagram and a free-body diagram of the box.
- Calculate the net force in the horizontal direction on the box. In which direction is the net horizontal force?
- Calculate the net force in the vertical direction on the box. In which direction is the net vertical force?
- Remember that net force indicates an acceleration. In which direction is the box accelerating (and hence, moving)?
- Determine the work Gabrielle exerts on the box. Considering the direction the box is going, is the work positive or negative?
- Determine the work Pierre exerts on the box. Considering the direction the box is going, is the work positive or negative?
- Determine the work friction is doing on the box. Considering the direction the box is going, is the work positive or negative?
- 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?
- What is the net work being done on the box in the vertical direction?
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