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If a force of 50 N is applied to an area of 5 cm, what force will be required to maintain the same pressure on an area of 10 cm?

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Answer to a math question If a force of 50 N is applied to an area of 5 cm, what force will be required to maintain the same pressure on an area of 10 cm?

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Adonis

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100 Answers

Solución:
1. Dados:
- Fuerza inicial:

F_1 = 50

N
- Área inicial:

A_1 = 5

cm²
- Área final:

A_2 = 10

cm²

2. La presión se define como fuerza por unidad de área:

P = \frac{F}{A}

3. Hallar la presión inicial:

P = \frac{F_1}{A_1} = \frac{50}{5} = 10 \text{ N/cm}^2

4. Para mantener la misma presión en una nueva área, aplicamos:

P = \frac{F_2}{A_2}

5. Sustituimos y despejamos la nueva fuerza:

10 = \frac{F_2}{10}

F_2 = 10 \cdot 10 = 100

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If a force of 50 N is applied to an area of 5 cm, what force will be required to maintain the same pressure on an area of 10 cm?

Answer to a math question If a force of 50 N is applied to an area of 5 cm, what force will be required to maintain the same pressure on an area of 10 cm?

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