Question

A pressure of 1000 Pascal is requried to pierce a wooden block if a sharp nail of area 0.1cm² is used. Calculate the force requried to pierce the wood

Answer 1

Answer:

• Force required for piercing the block = 0.01 Newton

Explanation:

Given :

• Pressure applied, P = 1000 Pascal
• Area of tip of sharp nail, A = 0.1 cm²

To find :

• Force required for piercing the wood, F =?

Formula required :

• Formula for calculating Pressure

       P = F / A

[ Where P = pressure, F = Force, A = Area; in their SI units ]

Solution :

Converting Area given in cm² into m²

→ A = 0.1 cm²

→ A = 0.1 × 1/10000  m²

→ A = 0.00001 m²

Calculating Force required for piercing

Using formula

→ P = F / A

→ 1000 = F / (0.00001)

→ F = 1000 × 0.00001

→ F = 0.01  Newton

Therefore,

• Force required for piercing the wooden block is 0.01 Newton.

Answer 2

Answer:

• Pressure = 1000 Pacsal
• Area = 0.1 cm²
• Force Required = ?

Where SI Unit of Pressure is Pascal (Newton per metre square), Area in Metre Square and Force in Newton.

$\underline{\bigstar\:\textsf{According to the given Question :}}$

$:\implies\sf Pressure=\dfrac{Force}{Area}\\\\\\:\implies\sf 1000\:Pascal=\dfrac{Force}{0.1\:cm^2}\\\\\\:\implies\sf 1000\:N\:m^{-2} \times 0.1\:cm^2 = Force\\\\\\:\implies\sf 1000\:N\:m^{-2} \times \dfrac{0.1}{100 \times 100}\:m^2 = Force\\\\\\:\implies\sf \dfrac{0.1}{10} \:N = Force\\\\\\:\implies \underline{ \boxed{\sf Force =0.01 \:N}}$