Question

A force of 200 N can produce a pressure of 20,000 Pa.

Calculate the area --
(i) m2
(ii) cm2

Answer 1

Area = 0.01 m^2 or 100 cm^2.

Step-by-step explanation:

Given:

• Force of 200 N can produce a pressure of 20,000 Pa.

To Find:

• Area in m^2 and cm^2

Conversion factor used:

• 1m^2 = 10^4 cm^2

Formula used:

• Force = Pressure*Area

According to question, we have

200 N = 20,000*Area

Area = 0.01m^2

In cm^2, we get

Area = 0.01*10^4 = 100 cm^2.

Answer 2

Solution below.

Step-by-step explanation:

This Question involves the pressure formula.

Pressure = Force ÷ Area

where unit of area is

`{m}^(2)`

i) We can directly use the formula to solve for A, the area.

P = F ÷ A

20000 = 200 ÷ A

20000 × A = 200

A = 200 ÷ 20000

A =

`0.01 {m}^(2)`

ii) For this part, we can use the answer found in part (i) to convert to the required units.

We know that:

`1 {m}^(2) = (100cm) * (100cm) \\ 1 {m}^(2) = 10000 {cm}^(2) \\ 0.01 {m}^(2) = 10000 * 0.01 \\ = 100 {cm}^(2)`