Question

An oscillator of mass m = 2 kg, whose natural frequency ofoscillation is 10 radians/s , feels a force when the oscillator isin motion,
F = -k x - m? d x/dt.
What is the value of the spring constant k?

1. 50 N/m
2. 150 N/m
3. 100 N/m
4. 250 N/m
5. 200 N/

At what value of ? will the damping rate of
the spring be ?/2, without any oscillations of
the spring?
1. 50 s^-1
2. 40 s^-1
3. 20 s^-1
4. 10 s^-1
5. 30 s^-1

I am fairly lost on this problem, so as much explanation aspossible would be greatly appreciated.