Answer
Calculate the acceleration in each case, assuming the force is the net force.
$$a = F/m = (1 N)/(1 kg) = 1 N/kg = 1 \frac{m}{s^{2}}$$
$$a = F/m = (2 N)/(2 kg) = 1 N/kg = 1 \frac{m}{s^{2}}$$
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