Answer: 10 kg
Step-by-step explanation:
Using dimensional analysis, we can find the unit of mass in the given system:
Force (F) = mass (m) × acceleration (a)
In the given system, the unit of force is 100 N, which can be written as:
100 N = (100 kg · m/s²) × (10 m/s²)
Thus, we can see that the unit of force is equivalent to 100 kg·m/s².
Now, we can rearrange the equation to solve for mass (m):
m = F/a
Substituting the units:
m = (100 kg·m/s²) / (10 m/s²)
m = 10 kg
Therefore, the unit of mass in the given system is 10 kg.