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9 November, 14:02

If a force of 15 newtons [N] is applied to a surface and the pressure is measured as 4,000 pascals [Pa], what is the area of the surface in units of square milimeters [mm2 ]?

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Answers (2)
  1. 9 November, 14:15
    0
    3750 square millimeters (mm^2)

    Explanation:

    Parameters given:

    Force = 15 Newtons (N)

    Pressure = 4000 Pascals (Pa)

    Convert from Pascals to Newton per millimeters square (N/mm^2)

    1 Pa = 1 Newton per meters square (N/m^2)

    Therefore,

    1 Pa = 1 * 10^-6 Newton per millimeters square

    Hence,

    4000 Pa will be equals to

    (4000 * 1 * 10^-6) N/mm^2 = 0.004N/mm^2

    From

    Pressure = Force / Area

    Area = Force / Pressure

    Area = 15 (N) : 0.004 (N/mm^2)

    Area = 3750 square millimeters (mm^2)

    Hence, the area of the surface in units of square milimeters is 3750mm^2
  2. 9 November, 14:24
    0
    The answer to the question is;

    The area of the surface in units of square millimeters [mm²] is 3750 mm².

    Explanation:

    Here, it is necessary to note that the formula for pressure = Force/Area

    Therefore the area is given by

    Area = Force/Pressure

    Where the force = 15 Newtons (N) and

    The pressure = 4000 Pascals (Pa)

    Then we have

    Area = 15 N : 4000 Pa = 0.00375 m²

    Converting the area into mm² we have

    1 m² = 1000000 mm² therefore

    0.00375 m² = 1000000*0.00375 mm² = 3750 mm²
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