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Question about Work: Graphics

Physics

Originais Teachy

Work: Graphics

Easy

(Originais Teachy 2024) - Question Easy of Physics

During an interdisciplinary class on energy transformation, 1st-year high school students were challenged to calculate the mechanical work done by a force in a specific situation. The proposed situation involves a teacher lifting a 10 kg box, applying a constant vertical force on it, over a vertical linear displacement of 2.0 m. The graph of the force applied by the teacher as a function of height during the lifting is presented to the students. The goal is for the students to use the concept of mechanical work and the idea that the area in a force vs. displacement graph is numerically equal to the work done by the force to determine the value of the work done by the teacher when lifting the box.
a.
The value of the mechanical work done by the teacher when lifting the box vertically by 2.0 m depends on the applied force value, which was not specified in the statement.
b.
The mechanical work done by the teacher is 20 J, as the applied force is constant and equal to 10 N, and the displacement is 2.0 m.
c.
The mechanical work done by the teacher is 100 J, as the applied force is constant and equal to 10 N, and the displacement is 10.0 m (10 N * 10 m).
d.
The mechanical work done by the teacher is 50 J, as the applied force is constant and equal to 5 N, and the displacement is 10.0 m (5 N * 10 m).
e.
The mechanical work done by the teacher is 40 J, as the applied force varies linearly from 0 N to 20 N during the 2.0 m displacement, and the average force is 10 N (10 N * 2.0 m).

Answer sheet:

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