A researcher is investigating the magnetic field strength of a pair of high-strength neodymium cylindrical magnets, as shown in the diagram below.

When the magnets are aligned coaxially with their north poles facing one another, the repulsive force, $F$, between them is given by the formula:

$$F=\frac{\beta }{x^2}$$

where:

• $\beta$ is a constant representing the magnetic properties
• $x$ is the separation distance between the magnets.

In one test, the magnets are held at a distance of 5.0 cm apart, and the resulting repulsive force is measured as 0.80 N.