A force of 2 N is applied to a needle. What is the maximum area of the needle if the pressure is 2,000,000 Pa?

The force applied ($F$) is $2 \, \text{N}$.
The required pressure ($P$) is $2,000,000 \, \text{Pa}$.

Pressure is defined as force per unit area:

where $P$ is pressure, $F$ is force, and $A$ is area.

To find the area, we can rearrange the formula:

This can also be expressed in scientific notation:

The maximum area of the needle must be $\text{1} \times 10^{-6} \, \text{m}^2$.