Question

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​]?

Answer 1

The answer to the question is;

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

Step-by-step 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

Answer 2

3750 square millimeters (mm^2)

Step-by-step 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