Question

a force of 1200N act on the surface of area 10 cm square . what would be the pressure . explain step by step​

Answer 1

Answer:

$\boxed{\sf Pressure \ (P) = 1.2 \ MPa}$

Given:

Force (F) = 1200 N

Surface area (A) = 10 cm²

To Find:

Pressure (P)

Step-by-step explanation:

Converting cm² to m²:

$\sf 1 \: {cm}^{2} = {10}^{ - 4} \: {m}^{2}$

$\sf \implies 10 \: {cm}^{2} = 10 \times {10}^{ - 4} \: {m}^{2} = {10}^{ - 3} \: {m}^{2}$

Finding pressure:

$\boxed{ \bold{\sf Pressure \ (P) = \frac{Force \ (F)}{Surface \ area \ (A)}}}$

Substituting values of F & A in the equation:

$\sf \implies P = \frac{1200}{ {10}^{ - 3} }$

$\sf \implies P = 1200 \times {10}^{3}$

$\sf \implies P = 1.2 \times {10}^{6} \: Pa$

$\sf \implies P = 1.2 \: MPa$

Answer 2

Step-by-step explanation:

Pressure is defined as the force per unit area.

A force of 1200N act on the surface of area 10 cm square.

Firstly convert cm² into m².

1 cm = 10-² m

1 cm² = 10-⁴ m²

Pressure = Force/Area

As per given condition, we have force is 1200N and area is 10 × 10-⁴ m².

Simply substitute the values,

→ Pressure = 1200/(10 × 10-⁴)

→ Pressure = 120 × 10⁴

→ Pressure = 12 × 10⁵ Pa

Hence, the pressure is 12 × 10⁵ Pa.