The base of a box is .45 m by .65 m. It weighs 8694 N. What is the pressure exerted on the floor by the box?

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Physics Eirian 4 years 2021-09-01T17:08:06+00:00 2021-09-01T17:08:06+00:00 1 Answers 12 views 0

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Helga · Answer 1 · 2021-09-01T17:09:17+00:00

Helga

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2021-09-01T17:09:17+00:00 September 1, 2021 at 5:09 pm

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Answer:

$Pressure = 29723.1\ N/m^2$

Explanation:

Given

$Force = 8694N$

$Length = 0.45m$

$Width = 0.65m$

Required

The force exerted on the floor by the box

First, calculate the area covered by the box (i.e. the base area)

$Base\ Area = Length * Width$

$Base\ Area = 0.45m * 0.65m$

$Base\ Area = 0.2925m^2$

Pressure is calculated as:

$Pressure = \frac{Force}{Area}$

$Pressure = \frac{8694N}{0.2925m^2}$

$Pressure = 29723.0769231\ N/m^2$

$Pressure = 29723.1\ N/m^2$ — approximated