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pressine=(mine)/(mine) A cube-shoped box has side lengths of 1,5 m, and it exerts a force of 72 N on the ground Calculate the pressure, in N/m^2 that the box exerts on the ground If your answer is a decimal, give it toldp

Question

pressine=(mine)/(mine)
A cube-shoped box has side lengths of 1,5 m, and it exerts a force of
72 N on the ground
Calculate the pressure, in N/m^2 that the box exerts on the ground
If your answer is a decimal, give it toldp

pressine=(mine)/(mine) A cube-shoped box has side lengths of 1,5 m, and it exerts a force of 72 N on the ground Calculate the pressure, in N/m^2 that the box exerts on the ground If your answer is a decimal, give it toldp

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FlynnMaster · Tutor for 5 years

Answer

<p> 32.0 N/m²</p>

Explain

<p> <br />Pressure is calculated as the force divided by the area over which the force is distributed.<br /><br />In this case, we know that the force exerted by the box is \(72 \, \text{N}\). Each side of the box is \(1.5 \, \text{m}\), and because the box is in contact with the ground by a single face, the area is just the square of the side length, \(1.5^2 = 2.25 \, \text{m}^2\).<br /><br />Therefore, the pressure exerted by the box can be calculated with:<br /><br />\[P = \frac{F}{A} = \frac{72 \, \text{N}}{1.5^2 \, \text{m}^2} = 32 \, \text{N}/\text{m}^2\]<br /><br />Here it is explicitly given "give il lo idp" which means to leave the answer to 1 decimal place. After executing the calculation, round the resulting figure to 1 decimal place. Apologies seem to be a typo as the answer can't be in \( \text{N} / \text{m}^4. \)<br />It should be in \( \mathrm{N} /\mathrm{m}^2 \).<br /></p>
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