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How does atmospheric pressure decrease with altitude? Also, solve for pressure given force and area.

Physics

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foot}} = 180 cm^2$$

Step 2: Calculate the total area of contact when standing on two feet.

Atotal=2×180cm2=360cm2A_{total} = 2 \times 180 cm^2 = 360 cm^2

Step 3: Convert the total area to square meters (m2^2).

Atotal=360cm2×(1m100cm)2A_{total} = 360 cm^2 \times \left(\frac{1 m}{100 cm}\right)^2 Atotal=360×110000m2A_{total} = 360 \times \frac{1}{10000} m^2 Atotal=0.036m2A_{total} = 0.036 m^2

Step 4: Calculate the pressure using the formula P=FAP = \frac{F}{A}.

P=120N0.036m2P = \frac{120 N}{0.036 m^2} P≈3333.33PaP \approx 3333.33 Pa

The pressure exerted on the ground is 3333.33 Pa\boxed{\text{3333.33 Pa}}.

7. Calculate the pressure if a force of 23 N is applied over an area of 46 m2^2.

Step 1: Identify the given values.

F=23NF = 23 N A=46m2A = 46 m^2

Step 2: Calculate the pressure using the formula P=FAP = \frac{F}{A}.

P=23N46m2P = \frac{23 N}{46 m^2} P=0.5PaP = 0.5 Pa

The pressure is 0.5 Pa\boxed{\text{0.5 Pa}}.

8. How atmospheric pressure decrease with altitude?
Atmospheric pressure decreases with altitude because there is a shorter column of air above you at higher elevations. This means there is less air pressing down, and the air itself is less dense at higher altitudes, resulting in lower pressure.

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