Question

A young man is standing at the school entrance with a 1.5 [kg] backpack and is going home for lunch, which is 1,000 [m] horizontally away. What is the work done by the weight of the backpack, considering that the young man's displacement is horizontal?

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Answer to a math question A young man is standing at the school entrance with a 1.5 [kg] backpack and is going home for lunch, which is 1,000 [m] horizontally away. What is the work done by the weight of the backpack, considering that the young man's displacement is horizontal?

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Adonis
4.4
106 Answers
1. Identificamos que el desplazamiento es horizontal mientras que la fuerza actuando (peso de la mochila) es vertical.

2. Utilizamos la fórmula para el trabajo:

W = \vec{F} \cdot \vec{d}

3. Notamos que el ángulo entre la fuerza y el desplazamiento es de 90°.

4. Sustituimos en la fórmula del trabajo:

W = Fd \cos(90^\circ)

5. Considerando que \(\cos(90^\circ) = 0\):

W = Fd \cdot 0

6. Concluimos que el trabajo es:

W = 0

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