Question

Q1. A force F acts on an area of 300cm2 and produces a pressure of 6500 Pa. Calculate the magnitude of force ...and convert cm² to m²​

Answer 1

Required Answer :

• The magnitude of force = 195 N

Given :

• Area = 300 cm²
• Pressure = 6500 Pa

To find :

• Magnitude of force

Concept :

Here in the question we are provided the area and pressure and we need to calculate the magnitude of force. So, for that we will use the formula of pressure. But firstly, we will convert the value of area from cm² into m² by dividing the value by 10000.

Formula of pressure :-

• P = F ÷ A

where,

• P denotes the pressure
• F denotes the force
• A denotes the area

Solution :

Converting the value of area from cm² into m² :

As we know,

• 1 cm² = 10000 m²

In order to convert the value from cm² into m², divide it by 10000.

⠀⠀⠀⇒ Area = 300/10000

⠀⠀⠀⇒ Area = 3/100

⠀⠀⠀⇒ Area = 0.03

• Area = 0.03 m²

Now, applying the given values in the formula of pressure :

⠀⠀⠀⇒ Pressure = Force ÷ Area

⠀⠀⠀⇒ 6500 = Force ÷ 0.03

⠀⠀⠀⇒ 6500 × 0.03 = Force

⠀⠀⠀⇒ 6500 × 3/100 = Force

⠀⠀⠀⇒ 65 × 3 = Force

⠀⠀⠀⇒ 195 = Force

Therefore, the magnitude of force = 195 N

Answer 2

Answer:-

• Pressure=6500Pa
• Area=300cm^2

Convert it to m^2

$\\ \rm\longmapsto 1cm^2=0.0001m^2$

$\\ \rm\longmapsto 300cm^2=300\times 0.0001$

$\\ \rm\longmapsto 300cm^2=0.03m^2$

We know that

$\boxed{\sf Pressure=\dfrac{Force}{Area}}$

$\\ \rm\longmapsto Force=Pressure\times Area$

$\\ \rm\longmapsto Force=6500\times 0.03$

$\\ \rm\longmapsto Force=195N$