Answer
(a) The acceleration due to gravity on this moon is $1.81~m/s^2$.
(b) mass = 1.79 kg
Work Step by Step
(a) On the earth:
$weight = mg = 17.5~N$
$m = \frac{17.5~N}{9.80~m/s^2} = 1.786~kg$
On this moon:
$mg_{moon} = 3.24~N$
$g_{moon} = \frac{3.24~N}{1.786~kg} = 1.81~m/s^2$
The acceleration due to gravity on this moon is $1.81~m/s^2$.
(b) The mass of an object does not depend on the acceleration of gravity. The mass of this object is still 1.79 kg.