Well we can just use F=ma. The force is 10N, the mass is 50 kg, solve for a. Well since we kg and N, no conversion is necessary. So just plugging in the numbers, we get
10N = 50 kg · a
[tex]\frac{10N}{50kg}=a[/tex]
A newton is just [tex]\frac{kg·m}{s^{2}}[/tex]
[tex]a=\frac{\frac{10kg·m}{s^{2}}}{50kg}[/tex]
The s^2 and 50 kg you multiply
[tex]a=\frac{10kg·m}{50kg·s^{2}}[/tex]
The kg's cancel and 10/50 is 1/5
[tex]\frac{1}{5}·\frac{m}{s^{2}}[/tex]
So the acceleration is 1/5 m/s^2
