What net force F will accelerate a 0.5 kg mass at 4 m/s2? If this same net force were applied to a 20 kg mass, what would its acceleration be?

Please show me step by step including the right equations

There is one equation, Newton's second law.

Force = rate of change of momentum or if the mass is constant
F = m A
which is mass times acceleration

F = .5kg * 4 m/s^2 = 2 Newtons

2 Newtons = 20 A
A = 2/20 = 0.1 m/s^2

If you are taking physics, you better read the chapter!