Question

The pressure of a gas contained in a cylinder with a movable piston is 250 Pa. The area of the piston is 0.2 m^2. What force is exerted on the piston so that it can effectively hold the gas inside the cylinder?

Answer 1

Given:-

• Pressure ,P = 250 Pa

• Area ,A = 0.2m²

To Find:-

• Force ,F

Solution:-

As we know that Pressure is defined as the Force per unit area.

• P = F/A

where

• P denotes Pressure

• F denotes Force

• A denotes Area

Substitute the value we get

→ 250 = F/0.2

→ F = 250×0.2

→ F = 25×2

→ F = 50 N

Therefore,the force exerted on the piston is 50 Newton.

Additional Information !!

✧ Product of mass and acceleration is called force.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀OR

A push or pull of an object is called force.

✧ SI unit of Force is Newton.

✧ It is denoted by N.

✧ Force is vector Quantity i.e., both Magnitude and direction.

✧ Mathematical term

• F = ma

where,

F is the force

m is the mass

a is the acceleration

Answer 2

Answer:

Given :-

• Pressure of gas = 250 pa
• Area of piston = 0.2 m²

To Find :-

Force (F)

Solution :-

As we know that

$\sf \: p = \dfrac{f}{a}$

Here,

P = Pressure

F = Force

A = Area

250 = f×0.2

f = 0.2 × 250

F = 50 N

Hence :-

Force applied = 50 N

Extra shots

Pascal is the unit of Pressure

Newton is the unit of Force.