Determine the area of the support on which you need to put a weight of 40 kg in order to produce

Determine the area of the support on which you need to put a weight of 40 kg in order to produce a pressure of 8 • 10 ^ 5 Pa.

Given: m (weight of the load that was put on the support) = 40 kg; P (the required pressure that the mass of the load will produce) = 8 * 10 ^ 5 Pa.

Reference values: g (acceleration due to gravity) = 9.81 m / s2 ≈ 10 m / s2.

The required support area is determined from the formula for calculating the pressure: P = F / Sop = m * g / Sop, whence Sop = m * g / P.

Let’s make a calculation: Sop = m * g / P = 40 * 10 / (8 * 10 ^ 5) = 50 * 10 ^ -5 m2 (5 cm2).

Answer: The support area should be 5 cm2.