find the pressure excited by a 450 N woman putting all her weight on to heel of area 2 cm×2cm
Answers
Explanation:
As per the provided information in the given question, we have :
- Force applied by woman (F) = 450 N
- Area of the heel (A) = 2 cm × 2 cm
Before commencing the steps, we need to convert the units of area into m².
→ Area of the heel = 2 cm × 2 cm
→ Area of the heel = 4 cm²
Now, converting cm² into m².
→ 1 m² = 10000 cm²
→ 1 cm² = 1 ÷ 10000 m²
→ 1 cm² = 0.0001 m²
So,
→ 4 cm² = 0.0004 m²
Now, finding the pressure exerted by the woman.
Pressure is defined as force per unit area. It SI unit is Pa or Pascal and 1 Pa equivalent to 1 N/m².
Mathematically,
→ P = F ÷ A
- P denotes pressure
- F denotes force
- A denotes area
Substituting the values, we have :
→ P = (450 ÷ 0.0004) Pa
After removing the decimals,
→ P = (4500000 ÷ 4) Pa
Dividing both the numerator and the denominator with 2.
→ P = (2250000 ÷ 2) Pa
→ P = 1125000 Pa
Here, we can also write Pascal as kilo-pascal since the numerical value is large.
→ 1000 Pa = 1 kPa
→ 1125000 Pa = 1125 kPa
Therefore, the pressure exerted is 1125000 Pa.
Answer:
11250 pa
Explanation:
Data:
pressure: ?
force: 450 N
area: 2 cm x 2 cm=4 cm^2= 0.04 m^2
Solution:
P=F/A
P=450/0.04
p=11250 pa
Result:
the pressure exerted by the women on the area of 2m x 2m is 11250 pa.