Question

To vertically lift an object of mass 23 [kg] to a height equal to 1.4 [m], a force Fa is applied. The value of the net work received by the object is equal to 310.8 [J]. How much is the value of the applied force?

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Answer to a math question To vertically lift an object of mass 23 [kg] to a height equal to 1.4 [m], a force Fa is applied. The value of the net work received by the object is equal to 310.8 [J]. How much is the value of the applied force?

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Birdie
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104 Answers
Para calcular el trabajo realizado al levantar el objeto, utilizamos la fΓ³rmula:

Trabajo = F \cdot d \cdot cos(\theta)

Donde:
- Trabajo = 310.8 \, J (trabajo neto recibido por el objeto)
- F es la fuerza aplicada que queremos encontrar
- d = 1.4 \, m (altura a la que se levanta el objeto)
- \theta = 0 grados, ya que la fuerza se aplica verticalmente

Sustituimos los valores en la fΓ³rmula:

310.8 = F \cdot 1.4 \cdot cos(0^\circ)

Dado que cos(0^\circ) = 1:

310.8 = 1.4F

Despejamos F:

F = \frac{310.8}{1.4}

F = 222\,N

Entonces, el valor de la fuerza aplicada es de 222\,N.

\boxed{F = 222\,N}

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