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?
Adonis
4.4106 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
2. Utilizamos la fórmula para el trabajo:
3. Notamos que el ángulo entre la fuerza y el desplazamiento es de 90°.
4. Sustituimos en la fórmula del trabajo:
5. Considerando que
6. Concluimos que el trabajo es:
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