Solve Crate Pressure w/ Mass: 2.50x10^3 Pa

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Homework Help Overview

The problem involves calculating the mass of a crate based on the pressure it exerts on the floor, given its dimensions and the pressure value. The subject area includes concepts from fluid mechanics and basic physics principles related to pressure and force.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the conversion of dimensions from centimeters to meters and the calculation of area using the formula A = l x w. There is uncertainty about the units of area and the subsequent calculations for force and mass.

Discussion Status

The discussion is active, with participants providing guidance on unit conversions and formula applications. Some participants confirm calculations and clarify the correct units for area, while others express uncertainty about their results.

Contextual Notes

Participants are navigating through the problem with some initial confusion regarding unit conversions and the application of formulas, which reflects the constraints of the homework context.

jefgreen
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Homework Statement


A crate, whose bottom surface is 50.4 cm by 28.3 cm, exerts a pressure of 2.50x10^3 Pa on the floor. What is the mass of the crate.


Homework Equations


P=F/A
m=weight/gravity (9.80)


The Attempt at a Solution


2.50x10^3 F
------------=----------------
1 1.4x10^3 cm^2


F=3.5x10^6

m=weight/9.80

m=3.5x10^6
-----------
9.80


Answer: 3.6x10^5 kg

I feel as though I made a mistake somewhere...
 
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You have convert the length and the width from cm to meter.
 
so I would multiply 2.50x20^3 by .787 (.283m+.504m)?
 
jefgreen said:
so I would multiply 2.50x20^3 by .787 (.283m+.504m)?
What is the formula for area?

.787 (.283m+.504m)
What is this?
 
rl.bhat said:
What is the formula for area?

.787 (.283m+.504m)
What is this?

lxw?
 
A=lxw

So.. (.283m x .504m)= 0.119952. I am not sure about the units, but is this the correct answer?
 
would it be meters squared (m^2)?
 
jefgreen said:
A=lxw

So.. (.283m x .504m)= 0.119952. I am not sure about the units, but is this the correct answer?
Now it is correct. Unit of the area is m^2.
Now F = P*A = ...?
 
F=299.88N

so...

m=weight/9.80

therefore m=299.88N/9.80 m/s^2

mass equals... 30.6kg

Correct?
 
  • #10
Correct.
 

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