Answer
The mass of the particle at a point where $g = 4.9~m/s^2$ is $~~2.24~kg$
Work Step by Step
We can find the mass of the particle:
$mg = 22~N$
$m = \frac{22~N}{9.8~m/s^2}$
$m = 2.24~kg$
Note that the mass does not depend on the value of $g$
Therefore, the mass of the particle at a point where $g = 4.9~m/s^2$ is $~~2.24~kg$