That is a Newton.
Weight is a force due to gravity.
Weight = mass * acceleration due to gravity, which is a particular case of Newtons Second Law F = m * a.
The unit of force is a Newton so a mass of 2 kilograms = m* g so its weight in newtons = 2 * 9.81 = 19.62 Newtons.
1 Newton is the force causing 1 kilogram to accelerate at 9.81 ms-2.