A block mass `m = 2 kg` is moving with velocity`v_(0)` towards a massless unstretched spring of the force constant `k = 10 N//m`. Coefficient of friction between the block and the ground is `mu = 0.2`. Find the maximum value of `v_(0)` so that after pressing the spring the block does not return back but stops there permanently.
A. `2 sqrt((2)/(5)) m//s`
B. `sqrt((1)/(5)) m//s`
C. `4 sqrt((1)/(5)) m//s`
D. `4 sqrt((2)/(5)) m//s`