QQuestionPhysics
QuestionPhysics
What is the pressure in pascals if a 200 N force is applied to an area of 0.5 m²?
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Step 1:I'll solve this problem step by step using the precise LaTeX formatting guidelines you specified:
Step 2:: Identify the Pressure Formula
- $$A$$ = Area
The formula for pressure is defined as force divided by area: Where:
Step 3:: Identify Given Values
- Force ($$F$$) = 200 N
- Area (A) = 0.5 \mathrm{~m}^{2}$
Step 4:: Calculate Pressure
P = \frac{200 \mathrm{~N}}{0.5 \mathrm{~m}^{2}} = 400 \mathrm{~Pa}
Step 5:: Verify Units
- Pascals (Pa) = Newtons per square meter ($$\mathrm{N/m}^{2}$$)
- The units check out: \frac{\mathrm{N}}{\mathrm{m}^{2}} = \mathrm{Pa}
Final Answer
400 \mathrm{~Pa}
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