# Determine the mass of the box with the tool, creating a pressure of 5000 Pa, if the dimensions of the box base are 50×30 cm.

October 9, 2021 | education

| We translate the dimensions of the base into the SI system:

50×30 cm = 0.5×0.3 m.

The expression for determining pressure depending on the force of pressure has the form:

p = F / S, where F is the force of pressure on the plane, S is the area of the plane.

We have S = 0.5 * 0.3, and the pressure force is the weight of the box.

Weight expression:

P = m * g

Substitute this into the pressure expression:

p = F / S = m * g / S

Let us express the mass from this expression:

m = p * S / g

Substitute the numerical values and determine the mass:

m = p * S / g = 5000 * 0.5 * 0.3 / 9.8 = 76.5 kg.

Answer: the mass of the box with the tool is 76.5 kg.

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