Steply

A force of 600 N acts on an area of 2 m², find the pressure

Step by step, with the reason for every step · Density, pressure, population density · Foundations

Step by step

The question

Question: find the pressure when the force is 600 N and the area is 2 m².

Force 600 N, area 2 m². Find the pressure.

1 Write the rule

The rule: pressure is the force divided by the area.

pressure = forcearea

Pressure tells us how much force pushes on 1 m².

So its unit is N per m².

pressure = the force on 1 m²
unit: N ÷ m² → N/m²

2 Put the numbers in

The force is 600.

The area is 2.

p = 6002

3 Work it out

Careful!

The force goes on the top.

The unit, N/m², shows it: N on the top.

Careful: not 2600 ✗

600 divided by 2 is 300.

pressure = 300 N/m²

So the pressure is 300 N/m².

4 Check

Let's check.

300 in each m², for 2 m²: 300 times 2 is 600.

That is the force.

So the answer is right!

300 N in each m²: 300 × 2 = 600 N

Let's look back.

First: write the rule.

Then: put the numbers in.

Then: work it out.

Last: check.

Answer
pressure = 300 N/m²

Your turn

Try this one yourself, then check:

Force 210 N, area 30 m². Find the pressure.
Show the answer
pressure = 7 N/m²

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